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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<script type=\"esms-options\">{\"shimMode\": true}</script><style>*[data-root-id],\n", | |
"*[data-root-id] > * {\n", | |
" box-sizing: border-box;\n", | |
" font-family: var(--jp-ui-font-family);\n", | |
" font-size: var(--jp-ui-font-size1);\n", | |
" color: var(--vscode-editor-foreground, var(--jp-ui-font-color1));\n", | |
"}\n", | |
"\n", | |
"/* Override VSCode background color */\n", | |
".cell-output-ipywidget-background:has(\n", | |
" > .cell-output-ipywidget-background > .lm-Widget > *[data-root-id]\n", | |
" ),\n", | |
".cell-output-ipywidget-background:has(> .lm-Widget > *[data-root-id]) {\n", | |
" background-color: transparent !important;\n", | |
"}\n", | |
"</style>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"application/javascript": [ | |
"(function(root) {\n", | |
" function now() {\n", | |
" return new Date();\n", | |
" }\n", | |
"\n", | |
" const force = true;\n", | |
" const py_version = '3.5.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n", | |
" const reloading = false;\n", | |
" const Bokeh = root.Bokeh;\n", | |
"\n", | |
" // Set a timeout for this load but only if we are not already initializing\n", | |
" if (typeof (root._bokeh_timeout) === \"undefined\" || (force || !root._bokeh_is_initializing)) {\n", | |
" root._bokeh_timeout = Date.now() + 5000;\n", | |
" root._bokeh_failed_load = false;\n", | |
" }\n", | |
"\n", | |
" function run_callbacks() {\n", | |
" try {\n", | |
" root._bokeh_onload_callbacks.forEach(function(callback) {\n", | |
" if (callback != null)\n", | |
" callback();\n", | |
" });\n", | |
" } finally {\n", | |
" delete root._bokeh_onload_callbacks;\n", | |
" }\n", | |
" console.debug(\"Bokeh: all callbacks have finished\");\n", | |
" }\n", | |
"\n", | |
" function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n", | |
" if (css_urls == null) css_urls = [];\n", | |
" if (js_urls == null) js_urls = [];\n", | |
" if (js_modules == null) js_modules = [];\n", | |
" if (js_exports == null) js_exports = {};\n", | |
"\n", | |
" root._bokeh_onload_callbacks.push(callback);\n", | |
"\n", | |
" if (root._bokeh_is_loading > 0) {\n", | |
" // Don't load bokeh if it is still initializing\n", | |
" console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n", | |
" return null;\n", | |
" } else if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n", | |
" // There is nothing to load\n", | |
" run_callbacks();\n", | |
" return null;\n", | |
" }\n", | |
"\n", | |
" function on_load() {\n", | |
" root._bokeh_is_loading--;\n", | |
" if (root._bokeh_is_loading === 0) {\n", | |
" console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n", | |
" run_callbacks()\n", | |
" }\n", | |
" }\n", | |
" window._bokeh_on_load = on_load\n", | |
"\n", | |
" function on_error(e) {\n", | |
" const src_el = e.srcElement\n", | |
" console.error(\"failed to load \" + (src_el.href || src_el.src));\n", | |
" }\n", | |
"\n", | |
" const skip = [];\n", | |
" if (window.requirejs) {\n", | |
" window.requirejs.config({'packages': {}, 'paths': {}, 'shim': {}});\n", | |
" root._bokeh_is_loading = css_urls.length + 0;\n", | |
" } else {\n", | |
" root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n", | |
" }\n", | |
"\n", | |
" const existing_stylesheets = []\n", | |
" const links = document.getElementsByTagName('link')\n", | |
" for (let i = 0; i < links.length; i++) {\n", | |
" const link = links[i]\n", | |
" if (link.href != null) {\n", | |
" existing_stylesheets.push(link.href)\n", | |
" }\n", | |
" }\n", | |
" for (let i = 0; i < css_urls.length; i++) {\n", | |
" const url = css_urls[i];\n", | |
" const escaped = encodeURI(url)\n", | |
" if (existing_stylesheets.indexOf(escaped) !== -1) {\n", | |
" on_load()\n", | |
" continue;\n", | |
" }\n", | |
" const element = document.createElement(\"link\");\n", | |
" element.onload = on_load;\n", | |
" element.onerror = on_error;\n", | |
" element.rel = \"stylesheet\";\n", | |
" element.type = \"text/css\";\n", | |
" element.href = url;\n", | |
" console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n", | |
" document.body.appendChild(element);\n", | |
" } var existing_scripts = []\n", | |
" const scripts = document.getElementsByTagName('script')\n", | |
" for (let i = 0; i < scripts.length; i++) {\n", | |
" var script = scripts[i]\n", | |
" if (script.src != null) {\n", | |
" existing_scripts.push(script.src)\n", | |
" }\n", | |
" }\n", | |
" for (let i = 0; i < js_urls.length; i++) {\n", | |
" const url = js_urls[i];\n", | |
" const escaped = encodeURI(url)\n", | |
" if (skip.indexOf(escaped) !== -1 || existing_scripts.indexOf(escaped) !== -1) {\n", | |
" if (!window.requirejs) {\n", | |
" on_load();\n", | |
" }\n", | |
" continue;\n", | |
" }\n", | |
" const element = document.createElement('script');\n", | |
" element.onload = on_load;\n", | |
" element.onerror = on_error;\n", | |
" element.async = false;\n", | |
" element.src = url;\n", | |
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", | |
" document.head.appendChild(element);\n", | |
" }\n", | |
" for (let i = 0; i < js_modules.length; i++) {\n", | |
" const url = js_modules[i];\n", | |
" const escaped = encodeURI(url)\n", | |
" if (skip.indexOf(escaped) !== -1 || existing_scripts.indexOf(escaped) !== -1) {\n", | |
" if (!window.requirejs) {\n", | |
" on_load();\n", | |
" }\n", | |
" continue;\n", | |
" }\n", | |
" var element = document.createElement('script');\n", | |
" element.onload = on_load;\n", | |
" element.onerror = on_error;\n", | |
" element.async = false;\n", | |
" element.src = url;\n", | |
" element.type = \"module\";\n", | |
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", | |
" document.head.appendChild(element);\n", | |
" }\n", | |
" for (const name in js_exports) {\n", | |
" const url = js_exports[name];\n", | |
" const escaped = encodeURI(url)\n", | |
" if (skip.indexOf(escaped) >= 0 || root[name] != null) {\n", | |
" if (!window.requirejs) {\n", | |
" on_load();\n", | |
" }\n", | |
" continue;\n", | |
" }\n", | |
" var element = document.createElement('script');\n", | |
" element.onerror = on_error;\n", | |
" element.async = false;\n", | |
" element.type = \"module\";\n", | |
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", | |
" element.textContent = `\n", | |
" import ${name} from \"${url}\"\n", | |
" window.${name} = ${name}\n", | |
" window._bokeh_on_load()\n", | |
" `\n", | |
" document.head.appendChild(element);\n", | |
" }\n", | |
" if (!js_urls.length && !js_modules.length) {\n", | |
" on_load()\n", | |
" }\n", | |
" };\n", | |
"\n", | |
" function inject_raw_css(css) {\n", | |
" const element = document.createElement(\"style\");\n", | |
" element.appendChild(document.createTextNode(css));\n", | |
" document.body.appendChild(element);\n", | |
" }\n", | |
"\n", | |
" const js_urls = [\"https://cdn.holoviz.org/panel/1.5.0/dist/bundled/reactiveesm/es-module-shims@^1.10.0/dist/es-module-shims.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.5.2.min.js\", \"https://cdn.holoviz.org/panel/1.5.0/dist/panel.min.js\"];\n", | |
" const js_modules = [];\n", | |
" const js_exports = {};\n", | |
" const css_urls = [];\n", | |
" const inline_js = [ function(Bokeh) {\n", | |
" Bokeh.set_log_level(\"info\");\n", | |
" },\n", | |
"function(Bokeh) {} // ensure no trailing comma for IE\n", | |
" ];\n", | |
"\n", | |
" function run_inline_js() {\n", | |
" if ((root.Bokeh !== undefined) || (force === true)) {\n", | |
" for (let i = 0; i < inline_js.length; i++) {\n", | |
" try {\n", | |
" inline_js[i].call(root, root.Bokeh);\n", | |
" } catch(e) {\n", | |
" if (!reloading) {\n", | |
" throw e;\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
" // Cache old bokeh versions\n", | |
" if (Bokeh != undefined && !reloading) {\n", | |
" var NewBokeh = root.Bokeh;\n", | |
" if (Bokeh.versions === undefined) {\n", | |
" Bokeh.versions = new Map();\n", | |
" }\n", | |
" if (NewBokeh.version !== Bokeh.version) {\n", | |
" Bokeh.versions.set(NewBokeh.version, NewBokeh)\n", | |
" }\n", | |
" root.Bokeh = Bokeh;\n", | |
" }\n", | |
" } else if (Date.now() < root._bokeh_timeout) {\n", | |
" setTimeout(run_inline_js, 100);\n", | |
" } else if (!root._bokeh_failed_load) {\n", | |
" console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", | |
" root._bokeh_failed_load = true;\n", | |
" }\n", | |
" root._bokeh_is_initializing = false\n", | |
" }\n", | |
"\n", | |
" function load_or_wait() {\n", | |
" // Implement a backoff loop that tries to ensure we do not load multiple\n", | |
" // versions of Bokeh and its dependencies at the same time.\n", | |
" // In recent versions we use the root._bokeh_is_initializing flag\n", | |
" // to determine whether there is an ongoing attempt to initialize\n", | |
" // bokeh, however for backward compatibility we also try to ensure\n", | |
" // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n", | |
" // before older versions are fully initialized.\n", | |
" if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n", | |
" // If the timeout and bokeh was not successfully loaded we reset\n", | |
" // everything and try loading again\n", | |
" root._bokeh_timeout = Date.now() + 5000;\n", | |
" root._bokeh_is_initializing = false;\n", | |
" root._bokeh_onload_callbacks = undefined;\n", | |
" root._bokeh_is_loading = 0\n", | |
" console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n", | |
" load_or_wait();\n", | |
" } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n", | |
" setTimeout(load_or_wait, 100);\n", | |
" } else {\n", | |
" root._bokeh_is_initializing = true\n", | |
" root._bokeh_onload_callbacks = []\n", | |
" const bokeh_loaded = root.Bokeh != null && (root.Bokeh.version === py_version || (root.Bokeh.versions !== undefined && root.Bokeh.versions.has(py_version)));\n", | |
" if (!reloading && !bokeh_loaded) {\n", | |
" if (root.Bokeh) {\n", | |
" root.Bokeh = undefined;\n", | |
" }\n", | |
" console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n", | |
" }\n", | |
" load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n", | |
" console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n", | |
" run_inline_js();\n", | |
" });\n", | |
" }\n", | |
" }\n", | |
" // Give older versions of the autoload script a head-start to ensure\n", | |
" // they initialize before we start loading newer version.\n", | |
" setTimeout(load_or_wait, 100)\n", | |
"}(window));" | |
], | |
"application/vnd.holoviews_load.v0+json": "(function(root) {\n function now() {\n return new Date();\n }\n\n const force = true;\n const py_version = '3.5.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n const reloading = false;\n const Bokeh = root.Bokeh;\n\n // Set a timeout for this load but only if we are not already initializing\n if (typeof (root._bokeh_timeout) === \"undefined\" || (force || !root._bokeh_is_initializing)) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks;\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n if (js_modules == null) js_modules = [];\n if (js_exports == null) js_exports = {};\n\n root._bokeh_onload_callbacks.push(callback);\n\n if (root._bokeh_is_loading > 0) {\n // Don't load bokeh if it is still initializing\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n } else if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n // There is nothing to load\n run_callbacks();\n return null;\n }\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n window._bokeh_on_load = on_load\n\n function on_error(e) {\n const src_el = e.srcElement\n console.error(\"failed to load \" + (src_el.href || src_el.src));\n }\n\n const skip = [];\n if (window.requirejs) {\n window.requirejs.config({'packages': {}, 'paths': {}, 'shim': {}});\n root._bokeh_is_loading = css_urls.length + 0;\n } else {\n root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n }\n\n const existing_stylesheets = []\n const links = document.getElementsByTagName('link')\n for (let i = 0; i < links.length; i++) {\n const link = links[i]\n if (link.href != null) {\n existing_stylesheets.push(link.href)\n }\n }\n for (let i = 0; i < css_urls.length; i++) {\n const url = css_urls[i];\n const escaped = encodeURI(url)\n if (existing_stylesheets.indexOf(escaped) !== -1) {\n on_load()\n continue;\n }\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error;\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n } var existing_scripts = []\n const scripts = document.getElementsByTagName('script')\n for (let i = 0; i < scripts.length; i++) {\n var script = scripts[i]\n if (script.src != null) {\n existing_scripts.push(script.src)\n }\n }\n for (let i = 0; i < js_urls.length; i++) {\n const url = js_urls[i];\n const escaped = encodeURI(url)\n if (skip.indexOf(escaped) !== -1 || existing_scripts.indexOf(escaped) !== -1) {\n if (!window.requirejs) {\n on_load();\n }\n continue;\n }\n const element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (let i = 0; i < js_modules.length; i++) {\n const url = js_modules[i];\n const escaped = encodeURI(url)\n if (skip.indexOf(escaped) !== -1 || existing_scripts.indexOf(escaped) !== -1) {\n if (!window.requirejs) {\n on_load();\n }\n continue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (const name in js_exports) {\n const url = js_exports[name];\n const escaped = encodeURI(url)\n if (skip.indexOf(escaped) >= 0 || root[name] != null) {\n if (!window.requirejs) {\n on_load();\n }\n continue;\n }\n var element = document.createElement('script');\n element.onerror = on_error;\n element.async = false;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n element.textContent = `\n import ${name} from \"${url}\"\n window.${name} = ${name}\n window._bokeh_on_load()\n `\n document.head.appendChild(element);\n }\n if (!js_urls.length && !js_modules.length) {\n on_load()\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n const js_urls = [\"https://cdn.holoviz.org/panel/1.5.0/dist/bundled/reactiveesm/es-module-shims@^1.10.0/dist/es-module-shims.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.5.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.5.2.min.js\", \"https://cdn.holoviz.org/panel/1.5.0/dist/panel.min.js\"];\n const js_modules = [];\n const js_exports = {};\n const css_urls = [];\n const inline_js = [ function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\nfunction(Bokeh) {} // ensure no trailing comma for IE\n ];\n\n function run_inline_js() {\n if ((root.Bokeh !== undefined) || (force === true)) {\n for (let i = 0; i < inline_js.length; i++) {\n try {\n inline_js[i].call(root, root.Bokeh);\n } catch(e) {\n if (!reloading) {\n throw e;\n }\n }\n }\n // Cache old bokeh versions\n if (Bokeh != undefined && !reloading) {\n var NewBokeh = root.Bokeh;\n if (Bokeh.versions === undefined) {\n Bokeh.versions = new Map();\n }\n if (NewBokeh.version !== Bokeh.version) {\n Bokeh.versions.set(NewBokeh.version, NewBokeh)\n }\n root.Bokeh = Bokeh;\n }\n } else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n }\n root._bokeh_is_initializing = false\n }\n\n function load_or_wait() {\n // Implement a backoff loop that tries to ensure we do not load multiple\n // versions of Bokeh and its dependencies at the same time.\n // In recent versions we use the root._bokeh_is_initializing flag\n // to determine whether there is an ongoing attempt to initialize\n // bokeh, however for backward compatibility we also try to ensure\n // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n // before older versions are fully initialized.\n if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n // If the timeout and bokeh was not successfully loaded we reset\n // everything and try loading again\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_is_initializing = false;\n root._bokeh_onload_callbacks = undefined;\n root._bokeh_is_loading = 0\n console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n load_or_wait();\n } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n setTimeout(load_or_wait, 100);\n } else {\n root._bokeh_is_initializing = true\n root._bokeh_onload_callbacks = []\n const bokeh_loaded = root.Bokeh != null && (root.Bokeh.version === py_version || (root.Bokeh.versions !== undefined && root.Bokeh.versions.has(py_version)));\n if (!reloading && !bokeh_loaded) {\n if (root.Bokeh) {\n root.Bokeh = undefined;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n }\n load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n }\n // Give older versions of the autoload script a head-start to ensure\n // they initialize before we start loading newer version.\n setTimeout(load_or_wait, 100)\n}(window));" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"application/javascript": [ | |
"\n", | |
"if ((window.PyViz === undefined) || (window.PyViz instanceof HTMLElement)) {\n", | |
" window.PyViz = {comms: {}, comm_status:{}, kernels:{}, receivers: {}, plot_index: []}\n", | |
"}\n", | |
"\n", | |
"\n", | |
" function JupyterCommManager() {\n", | |
" }\n", | |
"\n", | |
" JupyterCommManager.prototype.register_target = function(plot_id, comm_id, msg_handler) {\n", | |
" if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n", | |
" var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n", | |
" comm_manager.register_target(comm_id, function(comm) {\n", | |
" comm.on_msg(msg_handler);\n", | |
" });\n", | |
" } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n", | |
" window.PyViz.kernels[plot_id].registerCommTarget(comm_id, function(comm) {\n", | |
" comm.onMsg = msg_handler;\n", | |
" });\n", | |
" } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n", | |
" google.colab.kernel.comms.registerTarget(comm_id, (comm) => {\n", | |
" var messages = comm.messages[Symbol.asyncIterator]();\n", | |
" function processIteratorResult(result) {\n", | |
" var message = result.value;\n", | |
" console.log(message)\n", | |
" var content = {data: message.data, comm_id};\n", | |
" var buffers = []\n", | |
" for (var buffer of message.buffers || []) {\n", | |
" buffers.push(new DataView(buffer))\n", | |
" }\n", | |
" var metadata = message.metadata || {};\n", | |
" var msg = {content, buffers, metadata}\n", | |
" msg_handler(msg);\n", | |
" return messages.next().then(processIteratorResult);\n", | |
" }\n", | |
" return messages.next().then(processIteratorResult);\n", | |
" })\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" JupyterCommManager.prototype.get_client_comm = function(plot_id, comm_id, msg_handler) {\n", | |
" if (comm_id in window.PyViz.comms) {\n", | |
" return window.PyViz.comms[comm_id];\n", | |
" } else if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n", | |
" var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n", | |
" var comm = comm_manager.new_comm(comm_id, {}, {}, {}, comm_id);\n", | |
" if (msg_handler) {\n", | |
" comm.on_msg(msg_handler);\n", | |
" }\n", | |
" } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n", | |
" var comm = window.PyViz.kernels[plot_id].connectToComm(comm_id);\n", | |
" comm.open();\n", | |
" if (msg_handler) {\n", | |
" comm.onMsg = msg_handler;\n", | |
" }\n", | |
" } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n", | |
" var comm_promise = google.colab.kernel.comms.open(comm_id)\n", | |
" comm_promise.then((comm) => {\n", | |
" window.PyViz.comms[comm_id] = comm;\n", | |
" if (msg_handler) {\n", | |
" var messages = comm.messages[Symbol.asyncIterator]();\n", | |
" function processIteratorResult(result) {\n", | |
" var message = result.value;\n", | |
" var content = {data: message.data};\n", | |
" var metadata = message.metadata || {comm_id};\n", | |
" var msg = {content, metadata}\n", | |
" msg_handler(msg);\n", | |
" return messages.next().then(processIteratorResult);\n", | |
" }\n", | |
" return messages.next().then(processIteratorResult);\n", | |
" }\n", | |
" }) \n", | |
" var sendClosure = (data, metadata, buffers, disposeOnDone) => {\n", | |
" return comm_promise.then((comm) => {\n", | |
" comm.send(data, metadata, buffers, disposeOnDone);\n", | |
" });\n", | |
" };\n", | |
" var comm = {\n", | |
" send: sendClosure\n", | |
" };\n", | |
" }\n", | |
" window.PyViz.comms[comm_id] = comm;\n", | |
" return comm;\n", | |
" }\n", | |
" window.PyViz.comm_manager = new JupyterCommManager();\n", | |
" \n", | |
"\n", | |
"\n", | |
"var JS_MIME_TYPE = 'application/javascript';\n", | |
"var HTML_MIME_TYPE = 'text/html';\n", | |
"var EXEC_MIME_TYPE = 'application/vnd.holoviews_exec.v0+json';\n", | |
"var CLASS_NAME = 'output';\n", | |
"\n", | |
"/**\n", | |
" * Render data to the DOM node\n", | |
" */\n", | |
"function render(props, node) {\n", | |
" var div = document.createElement(\"div\");\n", | |
" var script = document.createElement(\"script\");\n", | |
" node.appendChild(div);\n", | |
" node.appendChild(script);\n", | |
"}\n", | |
"\n", | |
"/**\n", | |
" * Handle when a new output is added\n", | |
" */\n", | |
"function handle_add_output(event, handle) {\n", | |
" var output_area = handle.output_area;\n", | |
" var output = handle.output;\n", | |
" if ((output.data == undefined) || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n", | |
" return\n", | |
" }\n", | |
" var id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n", | |
" var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n", | |
" if (id !== undefined) {\n", | |
" var nchildren = toinsert.length;\n", | |
" var html_node = toinsert[nchildren-1].children[0];\n", | |
" html_node.innerHTML = output.data[HTML_MIME_TYPE];\n", | |
" var scripts = [];\n", | |
" var nodelist = html_node.querySelectorAll(\"script\");\n", | |
" for (var i in nodelist) {\n", | |
" if (nodelist.hasOwnProperty(i)) {\n", | |
" scripts.push(nodelist[i])\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" scripts.forEach( function (oldScript) {\n", | |
" var newScript = document.createElement(\"script\");\n", | |
" var attrs = [];\n", | |
" var nodemap = oldScript.attributes;\n", | |
" for (var j in nodemap) {\n", | |
" if (nodemap.hasOwnProperty(j)) {\n", | |
" attrs.push(nodemap[j])\n", | |
" }\n", | |
" }\n", | |
" attrs.forEach(function(attr) { newScript.setAttribute(attr.name, attr.value) });\n", | |
" newScript.appendChild(document.createTextNode(oldScript.innerHTML));\n", | |
" oldScript.parentNode.replaceChild(newScript, oldScript);\n", | |
" });\n", | |
" if (JS_MIME_TYPE in output.data) {\n", | |
" toinsert[nchildren-1].children[1].textContent = output.data[JS_MIME_TYPE];\n", | |
" }\n", | |
" output_area._hv_plot_id = id;\n", | |
" if ((window.Bokeh !== undefined) && (id in Bokeh.index)) {\n", | |
" window.PyViz.plot_index[id] = Bokeh.index[id];\n", | |
" } else {\n", | |
" window.PyViz.plot_index[id] = null;\n", | |
" }\n", | |
" } else if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n", | |
" var bk_div = document.createElement(\"div\");\n", | |
" bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n", | |
" var script_attrs = bk_div.children[0].attributes;\n", | |
" for (var i = 0; i < script_attrs.length; i++) {\n", | |
" toinsert[toinsert.length - 1].childNodes[1].setAttribute(script_attrs[i].name, script_attrs[i].value);\n", | |
" }\n", | |
" // store reference to server id on output_area\n", | |
" output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n", | |
" }\n", | |
"}\n", | |
"\n", | |
"/**\n", | |
" * Handle when an output is cleared or removed\n", | |
" */\n", | |
"function handle_clear_output(event, handle) {\n", | |
" var id = handle.cell.output_area._hv_plot_id;\n", | |
" var server_id = handle.cell.output_area._bokeh_server_id;\n", | |
" if (((id === undefined) || !(id in PyViz.plot_index)) && (server_id !== undefined)) { return; }\n", | |
" var comm = window.PyViz.comm_manager.get_client_comm(\"hv-extension-comm\", \"hv-extension-comm\", function () {});\n", | |
" if (server_id !== null) {\n", | |
" comm.send({event_type: 'server_delete', 'id': server_id});\n", | |
" return;\n", | |
" } else if (comm !== null) {\n", | |
" comm.send({event_type: 'delete', 'id': id});\n", | |
" }\n", | |
" delete PyViz.plot_index[id];\n", | |
" if ((window.Bokeh !== undefined) & (id in window.Bokeh.index)) {\n", | |
" var doc = window.Bokeh.index[id].model.document\n", | |
" doc.clear();\n", | |
" const i = window.Bokeh.documents.indexOf(doc);\n", | |
" if (i > -1) {\n", | |
" window.Bokeh.documents.splice(i, 1);\n", | |
" }\n", | |
" }\n", | |
"}\n", | |
"\n", | |
"/**\n", | |
" * Handle kernel restart event\n", | |
" */\n", | |
"function handle_kernel_cleanup(event, handle) {\n", | |
" delete PyViz.comms[\"hv-extension-comm\"];\n", | |
" window.PyViz.plot_index = {}\n", | |
"}\n", | |
"\n", | |
"/**\n", | |
" * Handle update_display_data messages\n", | |
" */\n", | |
"function handle_update_output(event, handle) {\n", | |
" handle_clear_output(event, {cell: {output_area: handle.output_area}})\n", | |
" handle_add_output(event, handle)\n", | |
"}\n", | |
"\n", | |
"function register_renderer(events, OutputArea) {\n", | |
" function append_mime(data, metadata, element) {\n", | |
" // create a DOM node to render to\n", | |
" var toinsert = this.create_output_subarea(\n", | |
" metadata,\n", | |
" CLASS_NAME,\n", | |
" EXEC_MIME_TYPE\n", | |
" );\n", | |
" this.keyboard_manager.register_events(toinsert);\n", | |
" // Render to node\n", | |
" var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n", | |
" render(props, toinsert[0]);\n", | |
" element.append(toinsert);\n", | |
" return toinsert\n", | |
" }\n", | |
"\n", | |
" events.on('output_added.OutputArea', handle_add_output);\n", | |
" events.on('output_updated.OutputArea', handle_update_output);\n", | |
" events.on('clear_output.CodeCell', handle_clear_output);\n", | |
" events.on('delete.Cell', handle_clear_output);\n", | |
" events.on('kernel_ready.Kernel', handle_kernel_cleanup);\n", | |
"\n", | |
" OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n", | |
" safe: true,\n", | |
" index: 0\n", | |
" });\n", | |
"}\n", | |
"\n", | |
"if (window.Jupyter !== undefined) {\n", | |
" try {\n", | |
" var events = require('base/js/events');\n", | |
" var OutputArea = require('notebook/js/outputarea').OutputArea;\n", | |
" if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n", | |
" register_renderer(events, OutputArea);\n", | |
" }\n", | |
" } catch(err) {\n", | |
" }\n", | |
"}\n" | |
], | |
"application/vnd.holoviews_load.v0+json": "\nif ((window.PyViz === undefined) || (window.PyViz instanceof HTMLElement)) {\n window.PyViz = {comms: {}, comm_status:{}, kernels:{}, receivers: {}, plot_index: []}\n}\n\n\n function JupyterCommManager() {\n }\n\n JupyterCommManager.prototype.register_target = function(plot_id, comm_id, msg_handler) {\n if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n comm_manager.register_target(comm_id, function(comm) {\n comm.on_msg(msg_handler);\n });\n } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n window.PyViz.kernels[plot_id].registerCommTarget(comm_id, function(comm) {\n comm.onMsg = msg_handler;\n });\n } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n google.colab.kernel.comms.registerTarget(comm_id, (comm) => {\n var messages = comm.messages[Symbol.asyncIterator]();\n function processIteratorResult(result) {\n var message = result.value;\n console.log(message)\n var content = {data: message.data, comm_id};\n var buffers = []\n for (var buffer of message.buffers || []) {\n buffers.push(new DataView(buffer))\n }\n var metadata = message.metadata || {};\n var msg = {content, buffers, metadata}\n msg_handler(msg);\n return messages.next().then(processIteratorResult);\n }\n return messages.next().then(processIteratorResult);\n })\n }\n }\n\n JupyterCommManager.prototype.get_client_comm = function(plot_id, comm_id, msg_handler) {\n if (comm_id in window.PyViz.comms) {\n return window.PyViz.comms[comm_id];\n } else if (window.comm_manager || ((window.Jupyter !== undefined) && (Jupyter.notebook.kernel != null))) {\n var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n var comm = comm_manager.new_comm(comm_id, {}, {}, {}, comm_id);\n if (msg_handler) {\n comm.on_msg(msg_handler);\n }\n } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n var comm = window.PyViz.kernels[plot_id].connectToComm(comm_id);\n comm.open();\n if (msg_handler) {\n comm.onMsg = msg_handler;\n }\n } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n var comm_promise = google.colab.kernel.comms.open(comm_id)\n comm_promise.then((comm) => {\n window.PyViz.comms[comm_id] = comm;\n if (msg_handler) {\n var messages = comm.messages[Symbol.asyncIterator]();\n function processIteratorResult(result) {\n var message = result.value;\n var content = {data: message.data};\n var metadata = message.metadata || {comm_id};\n var msg = {content, metadata}\n msg_handler(msg);\n return messages.next().then(processIteratorResult);\n }\n return messages.next().then(processIteratorResult);\n }\n }) \n var sendClosure = (data, metadata, buffers, disposeOnDone) => {\n return comm_promise.then((comm) => {\n comm.send(data, metadata, buffers, disposeOnDone);\n });\n };\n var comm = {\n send: sendClosure\n };\n }\n window.PyViz.comms[comm_id] = comm;\n return comm;\n }\n window.PyViz.comm_manager = new JupyterCommManager();\n \n\n\nvar JS_MIME_TYPE = 'application/javascript';\nvar HTML_MIME_TYPE = 'text/html';\nvar EXEC_MIME_TYPE = 'application/vnd.holoviews_exec.v0+json';\nvar CLASS_NAME = 'output';\n\n/**\n * Render data to the DOM node\n */\nfunction render(props, node) {\n var div = document.createElement(\"div\");\n var script = document.createElement(\"script\");\n node.appendChild(div);\n node.appendChild(script);\n}\n\n/**\n * Handle when a new output is added\n */\nfunction handle_add_output(event, handle) {\n var output_area = handle.output_area;\n var output = handle.output;\n if ((output.data == undefined) || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n return\n }\n var id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n if (id !== undefined) {\n var nchildren = toinsert.length;\n var html_node = toinsert[nchildren-1].children[0];\n html_node.innerHTML = output.data[HTML_MIME_TYPE];\n var scripts = [];\n var nodelist = html_node.querySelectorAll(\"script\");\n for (var i in nodelist) {\n if (nodelist.hasOwnProperty(i)) {\n scripts.push(nodelist[i])\n }\n }\n\n scripts.forEach( function (oldScript) {\n var newScript = document.createElement(\"script\");\n var attrs = [];\n var nodemap = oldScript.attributes;\n for (var j in nodemap) {\n if (nodemap.hasOwnProperty(j)) {\n attrs.push(nodemap[j])\n }\n }\n attrs.forEach(function(attr) { newScript.setAttribute(attr.name, attr.value) });\n newScript.appendChild(document.createTextNode(oldScript.innerHTML));\n oldScript.parentNode.replaceChild(newScript, oldScript);\n });\n if (JS_MIME_TYPE in output.data) {\n toinsert[nchildren-1].children[1].textContent = output.data[JS_MIME_TYPE];\n }\n output_area._hv_plot_id = id;\n if ((window.Bokeh !== undefined) && (id in Bokeh.index)) {\n window.PyViz.plot_index[id] = Bokeh.index[id];\n } else {\n window.PyViz.plot_index[id] = null;\n }\n } else if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n var bk_div = document.createElement(\"div\");\n bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n var script_attrs = bk_div.children[0].attributes;\n for (var i = 0; i < script_attrs.length; i++) {\n toinsert[toinsert.length - 1].childNodes[1].setAttribute(script_attrs[i].name, script_attrs[i].value);\n }\n // store reference to server id on output_area\n output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n }\n}\n\n/**\n * Handle when an output is cleared or removed\n */\nfunction handle_clear_output(event, handle) {\n var id = handle.cell.output_area._hv_plot_id;\n var server_id = handle.cell.output_area._bokeh_server_id;\n if (((id === undefined) || !(id in PyViz.plot_index)) && (server_id !== undefined)) { return; }\n var comm = window.PyViz.comm_manager.get_client_comm(\"hv-extension-comm\", \"hv-extension-comm\", function () {});\n if (server_id !== null) {\n comm.send({event_type: 'server_delete', 'id': server_id});\n return;\n } else if (comm !== null) {\n comm.send({event_type: 'delete', 'id': id});\n }\n delete PyViz.plot_index[id];\n if ((window.Bokeh !== undefined) & (id in window.Bokeh.index)) {\n var doc = window.Bokeh.index[id].model.document\n doc.clear();\n const i = window.Bokeh.documents.indexOf(doc);\n if (i > -1) {\n window.Bokeh.documents.splice(i, 1);\n }\n }\n}\n\n/**\n * Handle kernel restart event\n */\nfunction handle_kernel_cleanup(event, handle) {\n delete PyViz.comms[\"hv-extension-comm\"];\n window.PyViz.plot_index = {}\n}\n\n/**\n * Handle update_display_data messages\n */\nfunction handle_update_output(event, handle) {\n handle_clear_output(event, {cell: {output_area: handle.output_area}})\n handle_add_output(event, handle)\n}\n\nfunction register_renderer(events, OutputArea) {\n function append_mime(data, metadata, element) {\n // create a DOM node to render to\n var toinsert = this.create_output_subarea(\n metadata,\n CLASS_NAME,\n EXEC_MIME_TYPE\n );\n this.keyboard_manager.register_events(toinsert);\n // Render to node\n var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n render(props, toinsert[0]);\n element.append(toinsert);\n return toinsert\n }\n\n events.on('output_added.OutputArea', handle_add_output);\n events.on('output_updated.OutputArea', handle_update_output);\n events.on('clear_output.CodeCell', handle_clear_output);\n events.on('delete.Cell', handle_clear_output);\n events.on('kernel_ready.Kernel', handle_kernel_cleanup);\n\n OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n safe: true,\n index: 0\n });\n}\n\nif (window.Jupyter !== undefined) {\n try {\n var events = require('base/js/events');\n var OutputArea = require('notebook/js/outputarea').OutputArea;\n if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n register_renderer(events, OutputArea);\n }\n } catch(err) {\n }\n}\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
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"application/vnd.holoviews_exec.v0+json": "", | |
"text/html": [ | |
"<div id='p1002'>\n", | |
" <div id=\"b5482d03-f712-464e-8f76-c2bc1250a044\" data-root-id=\"p1002\" style=\"display: contents;\"></div>\n", | |
"</div>\n", | |
"<script type=\"application/javascript\">(function(root) {\n", | |
" var docs_json = {\"6eba4f3c-9db4-41fc-af05-e3ef7f31f0ff\":{\"version\":\"3.5.2\",\"title\":\"Bokeh 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| |
" var render_items = [{\"docid\":\"6eba4f3c-9db4-41fc-af05-e3ef7f31f0ff\",\"roots\":{\"p1002\":\"b5482d03-f712-464e-8f76-c2bc1250a044\"},\"root_ids\":[\"p1002\"]}];\n", | |
" var docs = Object.values(docs_json)\n", | |
" if (!docs) {\n", | |
" return\n", | |
" }\n", | |
" const py_version = docs[0].version.replace('rc', '-rc.').replace('.dev', '-dev.')\n", | |
" async function embed_document(root) {\n", | |
" var Bokeh = get_bokeh(root)\n", | |
" await Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", | |
" for (const render_item of render_items) {\n", | |
" for (const root_id of render_item.root_ids) {\n", | |
"\tconst id_el = document.getElementById(root_id)\n", | |
"\tif (id_el.children.length && id_el.children[0].hasAttribute('data-root-id')) {\n", | |
"\t const root_el = id_el.children[0]\n", | |
"\t root_el.id = root_el.id + '-rendered'\n", | |
"\t for (const child of root_el.children) {\n", | |
" // Ensure JupyterLab does not capture keyboard shortcuts\n", | |
" // see: https://jupyterlab.readthedocs.io/en/4.1.x/extension/notebook.html#keyboard-interaction-model\n", | |
"\t child.setAttribute('data-lm-suppress-shortcuts', 'true')\n", | |
"\t }\n", | |
"\t}\n", | |
" }\n", | |
" }\n", | |
" }\n", | |
" function get_bokeh(root) {\n", | |
" if (root.Bokeh === undefined) {\n", | |
" return null\n", | |
" } else if (root.Bokeh.version !== py_version) {\n", | |
" if (root.Bokeh.versions === undefined || !root.Bokeh.versions.has(py_version)) {\n", | |
"\treturn null\n", | |
" }\n", | |
" return root.Bokeh.versions.get(py_version);\n", | |
" } else if (root.Bokeh.version === py_version) {\n", | |
" return root.Bokeh\n", | |
" }\n", | |
" return null\n", | |
" }\n", | |
" function is_loaded(root) {\n", | |
" var Bokeh = get_bokeh(root)\n", | |
" return (Bokeh != null && Bokeh.Panel !== undefined)\n", | |
" }\n", | |
" if (is_loaded(root)) {\n", | |
" embed_document(root);\n", | |
" } else {\n", | |
" var attempts = 0;\n", | |
" var timer = setInterval(function(root) {\n", | |
" if (is_loaded(root)) {\n", | |
" clearInterval(timer);\n", | |
" embed_document(root);\n", | |
" } else if (document.readyState == \"complete\") {\n", | |
" attempts++;\n", | |
" if (attempts > 200) {\n", | |
" clearInterval(timer);\n", | |
"\t var Bokeh = get_bokeh(root)\n", | |
"\t if (Bokeh == null || Bokeh.Panel == null) {\n", | |
" console.warn(\"Panel: ERROR: Unable to run Panel code because Bokeh or Panel library is missing\");\n", | |
"\t } else {\n", | |
"\t console.warn(\"Panel: WARNING: Attempting to render but not all required libraries could be resolved.\")\n", | |
"\t embed_document(root)\n", | |
"\t }\n", | |
" }\n", | |
" }\n", | |
" }, 25, root)\n", | |
" }\n", | |
"})(window);</script>" | |
] | |
}, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": { | |
"id": "p1002" | |
} | |
}, | |
"output_type": "display_data" | |
}, | |
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" style='height:15px; border-radius:12px; display: inline-block; float: left'></img>\n", | |
" \n", | |
"\n", | |
"\n", | |
"</div>\n" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import holoviews as hv\n", | |
"hv.extension('matplotlib') # use 'bokeh' for interactive plotting" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import colorcet" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import scipy.misc" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import xarray as xr" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Prepare a Phantom" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import skimage\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import skimage.data" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"DOWNSAMPLE = 4 # decrease to 3 or 2 for nicer images\n", | |
"# phantom = skimage.data.shepp_logan_phantom()[::DOWNSAMPLE,::DOWNSAMPLE] # alternative image" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rng = np.random.default_rng(seed=0)\n", | |
"phantom = skimage.data.binary_blobs(128, rng=rng).astype(float)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def xrimage(arr):\n", | |
" \"\"\"\n", | |
" Convert a numpy array into an xarray.\n", | |
" \"\"\"\n", | |
" return xr.DataArray(arr[::-1].T, dims=['x','y'])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def image(arr):\n", | |
" \"\"\"\n", | |
" Convert a numpy array to an holoviews Image\n", | |
" \"\"\"\n", | |
" return hv.Image(xrimage(arr)).opts(hv.opts.Image(cmap=colorcet.cm.dimgray))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def timage(tarr):\n", | |
" \"\"\"\n", | |
" Convert a torch array to an holoviews Image\n", | |
" \"\"\"\n", | |
" return image(tarr.detach().numpy())" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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src='data:image/png;base64,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' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Image [x,y] (z)" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"image(phantom)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"I0_ = phantom" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Prepare a Random Diffeo" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import diffeopt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"np.random.seed(0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.group.ddmatch.group import DiffeoGroup\n", | |
"group = DiffeoGroup(I0_.shape)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import torch" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.utils import get_random_diffeo\n", | |
"gen = torch.random.default_generator\n", | |
"gen.manual_seed(300)\n", | |
"elt = get_random_diffeo(group, scale=.8, generator=gen)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Prepare the target" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.group.ddmatch.representation import FunctionRepresentation, DensityRepresentation" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We create a representation of the group element `elt` acting on functions:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rep = FunctionRepresentation(group, requires_grad=False)\n", | |
"rep.perturbation.base.deformation = elt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import torch" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"#I0 = torch.from_numpy(I0_.astype(float)/I0_.max())\n", | |
"I0 = torch.from_numpy(I0_)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"CPU times: user 494 µs, sys: 259 µs, total: 753 µs\n", | |
"Wall time: 656 µs\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"I1 = rep(I0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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7Yzbrr5bxRpxowZbmf8v3r1KjExMQAUKlTI7XNv3rwZsOfDUhn1t27d6nY7OXLk4LPPPgOga9euAFp7Zlu5cqWuSJYMsjwgC40FuDeYdPUz4+kAVT6bwl3ffPMNmzZt8nU3LE0NDLZu3cr3338PQK1atXzZJZcdPXIE0J9MVhVfDgsLc/vYrFmzAvbkuZMmTdIed3fhO0CmTJkARz4ub93jfv/9d13HyXShEEIIIYQJZJAlhA/s378/3U2nCmtr1aqVr7vgV+bPn8/8+fP9ZkPAqFGjGDVqlFYex11r1qzRckbppVI6KKtXr2b16tUetaknsqbHP//8Q1RUlNvT5jLIEkIIIYQwgQyyDCARCef8aT1QlSpV3O6vEdEo+ewIq2jfvj358uXTMnqL1EVERBAREUH//v2T1cezmq+//pqvv/6amJgYYmJisNlsuto5f/4858+f59ixY7oTdBYrVozs2bOTPXt2wJjomFkF0Z1ZsWKF28l4ZZAl0j1/GgwKYZYsWbKwceNGNm7cSEhICCEhIb7ukl+4ceMGv//+u+6F0WbavXs3S5cuZenSpSQkJJCQkOBxm8OHD2f48OHs2LFD1/ENGjSgQYMGAERFRREVFUXbtm0fmEp0VaNGjXQdp8f69eu1nbeukkGWEEIIIYQJJIWDMJWVc2ZJBEsI5x577DHAnuX67t27Pu6Nc0FBQdrUpvqZP39+ChQoANgLGKu8VvHx8ab2ZdeuXQA888wzpp7HXTVq1HA7J1ZajvybCmLEiBGMHDkScNR0TEtMTAyZM2d+4HE11frKK6/w5ZdfutUflU3eG/bu3cvNmzfdOkYGWelIWgOd9DTosPpr9XRwavXXJ3zr+vXrbN26lXr16jn9/bhx4wB4+OGH+fTTT73ZNZflzp07zSk69QX8888/A/pzHaWmSpUqTJgwwfB2jdKwYUMAli1bZmi7MTExDB06FICvvvqK+vXrp3nML7/8wm+//Zbi79euXcuUKVMAePnllwHS3A05ZswYcuXKBVizeLlMFwohhBBCmEAiWemAq9GQ9JAl3N9eW5UqVSw51Sr827Vr11i3bl2KkSwVPWjTpo1lI1mjR4/WdsqlFO1o3rw54MgovmTJEm06yqgyQQcOHODw4cMAVK1a1ZA2jbJ7924uXrxoWvvqGg4YMECbmi1dujQAwcGO4cWqVauS/UzNf/7zHwBCQ0MBeOKJJ1J9fp48eSwZwVIkkiWEEEIIYQKJZAU4PVEQIwsMWyUKY0YEy4hF/a70y93z+Fu0TnhfQkICf/zxR5rPK1q0KHny5AHMXzzuqk6dOgFQvXp1l7OXFyxYEIC+fftSqVIlAGbPng3oW6eVI0cOhgwZAsBDDz1EsWLF3G7DTCrNwG+//caff/7plXOqiJOqU1i4cGGKFy8OoKUDcaeYs1pU/+OPP1K9enUAatasSZ06dQC0KOb27ds977yJZJAVoKTAsPfoGWzpua7yXgij/PPPPxw/ftyl56o8RKpAsK+oaag2bdoAUKhQIV3tqClSNRBJaZCVM2dOwD6IcraLUV2XEiVK6OqHmVSpmhUrVnj93Ldu3QLg5MmTnDx5Unc7ahC1b98+9u3bB8APP/yg/b5cuXIAuhOjeotMFwohhBBCmEAiWQaRyI+DVaYIvc2VRere+HzItKJw1aZNm9LMmK1yIPk6khUXFwdA48aNDWnv0UcfBSBv3rxa20mpiNfnn39uyPmMcOPGDQCuXLmi/VQROZXNPSEhgQULFgCYuujd19TUY7t27bh8+TIAhw4dAqwztQ0SyRJCCCGEMIXfRrL69evHkiVLKFSokDZfe/nyZbp3786JEycoVaoU8+bNI2/evNhsNoYMGcLSpUsJCQlh1qxZ1KpVy5R+pZeIlj9Fq7z5XvjyfXf3PTFyg4Mwjjfvba5Eslq0aOHR6zGKik6ohdxqAbReaoH2F198wf/+9z/Ansxy0qRJAFqCS187/G+G9V49e7qdbTyQqc95x44dtaikcujQIfbu3QvYs/FHRER4vX+K3w6ynnvuOQYPHkzv3r21xyZMmECLFi0YMWIEEyZMYMKECXz00UcsW7aMo0ePcvToUbZt28agQYPYtm2bqf0LlC+wpINGfxpYQeAPdI2QXv4o8CfevLdFRkam+ZwsWbIA9gXgAKdPn3bzFRlLLVT3dJCl1KpVS1tUHxsba4nBlfrvctSoUVoOKKPyegUKNWV6/wALoGLFilSsWBGAp556Slscr/5o8Sa/nS5s3LixttNDiYiIoE+fPgD06dNHS44WERFB7969CQoKol69esTHx3P27Flvd1kIIdIk9zYhAoffRrKciY2NpWjRogAUKVKE2NhYAM6cOaP9FQb2TLJnzpzRnmuWQIoS+FMUKxCut7uMSNmRHq+bvzDr3nbw4EGX+/Dmm28CMHnyZI4ePerycUbbunWr4W3mzZs32U9fiY6OBuCzzz4D7Iu779y548suWZarRakBfvrpJwBat24NOK6zNwTUICupoKAglxPVJTV16lSmTp0KYHj1cm/wp8GQO2QAIISdEfe2e/fuaY+rHVlqeiUlzZo1A+y5or744gvAnAFPWlTfr1+/Tvbs2XW3o/IwffbZZ7Rv3x6wF8T2FjXAVUlhL168qO2S2717N4AMsFKhZ5fpvHnzAOjdu7dbiVE94bfThc4ULlxYC5WfPXtWS1ZXvHjxZOsIoqOjtUy09xs4cCCRkZFERkaSP39+8zsthBBpMPreliFDQN36hbCsgIpkdezYkdmzZzNixAhmz56tlV/o2LEjU6ZMoUePHmzbto3cuXObPlXoC0ZGsYwoGWNUH4RI78y8t6myJGlFspQaNWowZswYwJ5Dylv5s1T0btiwYQC6o1iqSLHKRr5q1SrWr18PQNu2bRk0aJCHPU3b6dOntVxWP/74o+nnC0Rq96A7GyBy584NwPjx47Xpb1crH+jlt4Osp59+mvXr13Px4kVCQ0MZPXo0I0aMoFu3bkyfPp2SJUtqocF27dqxdOlSypUrR0hICDNnzvRx74UQwjm5twkROIJsamJaPKBmzZraXzieMDsiY1S0KbV+ejOiJREs9xnx/hh53c+fP8/t27cNa08YK3PmzNqUo1oMrPJDucNms/Hpp58CMGvWLMP650yPHj0AePfdd3W3cezYMd555x3AEQlJqkiRIqxcuRKAjBkz6j5PWtavX8/LL79sWvvpweOPPw7Axx9/rOv4GTNmADBx4kS3jnP33ua3kSxhZ7UvV386txDCs3tIUFAQr7/+OgBLly4F7F9CRitdujQDBgzwuJ158+Y5HVwp586d0/KMNWjQwOPzpaROnTr06tULgHXr1gEQExNj2vkCkacL16tWrWpQT1Inqx+FEEIIIUwgkaxUqNxBev/SMzNKEwipGiSK5TlvTBWLwGZUzqAaNWoAjoXlRlCL3Xv37u3RZiW1KqZEiRJpPnfEiBGAo5zQe++9pytlRmqyZ8/O22+/DUDTpk0B+PXXX1m8eLGh53FHpUqVAHs5IVWI+vr16wBcu3aNCxcumN6HbNmyaYW5VYqLc+fOOX2uyviul7fueRLJEkIIIYQwgUSyXKAnmuUvkQFX++mPtQv9lVxn4QsHDhygcuXKuo9XBXuNjGSpqIaz+nTuUAlXx40bl+ZzVRJqlWJhwYIF/Oc//wHQro+RmeHV2q/q1atrSVHff/99wHvrtEqVKsVzzz0HoPXhfmqh+YkTJ0zrR4cOHRg1alSyxw4fPsyuXbsA+2aFAwcOAPDVV195dC6VAkTV5jSrNqQMslzkat4ofxlc6WF07iwp5ZKcLwZXcv2FsnfvXo8GWeHh4Qb2xq527doAHuc1VFNhRYoUSXH66X6JiYnavwcOHAhAq1atAOjatSsNGzb0qE/3y5Ejh9amKgMzdepUvv/+e0PPk1SRIkUAexHllAZXiprKVDnaoqKiDOtHu3btAHj++ecf+F2FChWoUKEC4NhhCni8e1lNhZYsWRKAI0eOeNReSmS6UAghhBDCBBLJcpP85W/s1GEgFdHWy1fTg+n5mosHqSk1vdS0i5H++usvQ9sLCwvTagVevXrV7eNVDq2tW7fSoUMHAHr16qVFQ4ySL18+wLxaiirzeefOnQG0qcLUqLxh06ZNA6Bv377JSjrpoaaYu3btCkCxYsVcPjZz5swenVsV4T5z5oxH7aRFBlnpnN4pOzOmDpO26w1WmPqV9VfCKlavXk3ZsmUBeOaZZ9w+/o033jC6S9r6G6NMnDhRW2v13nvv6W7n6tWrzJkzB7Dn8DJ6kKWUKlXKlHbVVKiehKhq6nbs2LEMHToUcKxjc5eqoVm3bl1dx+uVmJjIQw89BDimDc0i04VCCCGEECaQSJafskIBZzP64a3F8K70V6YyRXpy+fJlbcdWpkyZAOjevXuax02ZMgWAo0ePGt4nFSE5e/asx4vflbCwMMARPQkNDWXt2rUAxMXFudxO27Ztk7VjhhIlSpAtWzYAbt68aVi7CQkJgGNHnZ6p3vDwcMqXLw/oj2TpPU4vFcE7ePCg1wpzSyRLCCGEEMIEEsmyAF+vDbr//IEcudETcZOIlkgv1GLwjz76CICsWbNqW/adiYyM1Lb237t3z7R+/frrr1rkSK2l0UutO1MFgsGRdX3+/Pls2LAhzTaaNWtG//79AShTpoxH/XHmzp07gH0zQkhICGBsJKtfv37JzqN300KePHk86oeezQeeUIv3hw0bZvqCd0UGWT7k6hd+0ufd/0Wf9P/7YsrO19OVrjKin4GW1yvQXo8wjppGevvtt7VdXOpLPiEhgfj4eACOHTvmlS+ryZMnc+3aNQBee+01w9tv3rw5YM+n9dhjjwGOhKBJ82Wp5KgDBgzQcm+Z6d133zV8Sm3w4MFavqkcOXJ41Janx6tpS2+LjY312rlkulAIIYQQwgQSyfIRMyJA3sxf5S8RLCGEZ4YPH276OQoVKkS5cuUAR1HozZs3J3tOZGQkANOnTwfsESaVid0oRYsW1aZHVQ6pF154QYvm9e7dG3AsnjeL2niQK1cuzp8/b0ibb775JmDP2K7yZHlKLcrXS0VM7969C0BwsHeGJHnz5vVKwWuQSJYQQgghhCkkkuVlnkaA0ooweSNJqESxjOPrwtuyqF94W0hIiJYIVNVKVIvRAS2L+Pr167UI0gcffMCePXsAtJ/ZsmVj9+7dgOfFgpNSi6OV//73v4a17a6cOXN63Mb4CRMAaPnvWjNPo0/Knj17OHXqlCFtqez5y5YtM6S9tOTOndtrkSwZZAmXeGsgYMaXvdUHhVbIeSaL4IW3NG/eXPtSdUbtHnz22We5cuUKYB9k3e/mzZusX78eQFus/u2335qWJd0X1M5CvWbMmKEV2b5/8KjX4X8LKX/11Vds2rTJkDajo6MBe861wYMHG9Jmatq0aaOVB1JTlmaR6UIhhBBCCBNIJCvAWD1q403+di18HdGSqUNhpvz58wPupWBQC7Tnz5/PgAEDALT0EUmdPXsWsEdEAimSpbcI8i+//AJAhQoVDOtLTEwMAKP+nerdu3evYW2rHGtz587VopIVK1Y0rP37DRo0SMuHZuTrcEYGWQHE3wYVZjHrOnhr8KHnPEa+ZhlsCTOMHz8esO8kdFelSpUoWLAg4HyQ9dxzzwFQp04d3f2zonHjxmlli1RBaleoHZpGuXDhAr169QIwbLejM3FxcYwdOxaA77//3rTzgP4ErO6S6UIhhBBCCBMEZCTrs88+49tvvyUoKIhq1aoxc+ZMzp49S48ePbh06RLh4eF8//33ukOxViMRLAez8o9Zna93KQrv8Nd727PPPqstwNZLTTcmLUSt2uzSpQvgveiEt+TKlYsMGdyPhRj1/m/fvh2Avn37GtKeK3bu3Amg5SurUaMG4eHhgD1SWaxYMUPOo0pHqRJDJ0+eNKTd+wVcJOvMmTN88cUXREZGsm/fPhITE5k7dy5vvvkmQ4cO5e+//yZv3rxaQjshhPAHcm8Twv8EZCTr7t273Lx5k0yZMnHjxg2KFi3K2rVr+eGHHwDo06cP77//PoMGDfJ638zKY5XepdcIlkhfrHxvS03BggU9jjLdX4w4T548WgZ2M4o0qxxQR44c0RZj+0LS2omu8jQXllqI7s0I1v3+/vtv7eeCBQsA+1ozVTOyatWqANSqVSvVlCApKVKkCICWMmLMmDFayhAjBdwgq3jx4gwfPpwSJUqQLVs2WrVqRXh4OHny5NFS9oeGhnqtAndK9E7vyBf/g2SAJdIDf7m3OWNEIeBcuXIl+//PPvssLVq08Ljd+12/fh2wF6UGuHXrlk8HWXryOKlF8i+99BJZs2Z1+/jLly+7fUxq6tatC0CBAgX4888/AX0L6G02GwcOHADQfi5evFjXIEtp164dAH/++ae2K1OV+TFCwE0XxsXFERERQVRUFDExMVy/fp3ly5e7fPzUqVOpXbs2tWvX1kbzQgjha3JvE8L/BFwka/Xq1ZQuXVrb7tu5c2c2b95MfHw8d+/eJTg4mOjoaIoXL+70+IEDB2pFR81ePOrq1KEvoyrezt3k68zjRp/byu+t8C/+dG+7361btzxuQ2U/b9OmDQAvvviix2068+233wJw48YNADp27GjKeVyxcuVKrXSQO2bMmAHYr7sqDO1qxvfLly/zxRdfuH3O+2XKlEmLYL300kuAfRG7EhkZyerVqwHP0jXcunWLPn36ADB79mzd7YwaNYqtW7cCGFYuCAIwklWiRAm2bt3KjRs3sNlsrFmzhsqVK9OsWTPmz58P2N8ItXNBCCH8gdzbhPA/ARfJqlu3Ll27dqVWrVoEBwdTs2ZNBg4cyOOPP06PHj0YOXIkNWvWpH///oad09NohRWjGVbsk5m8HcFy9ry0+uDP9SOF53xxbzPKnTt3PDo+Ojqaffv2AVCuXDkjupSiIUOGmNq+O7755httAbg7bDYbAD/99JP22Ntvv53qMceOHQNgxIgR2nonPXLkyAFAo0aNeP311wHHIvOkateurRUGX7duHeCoYeiua9eu6Truft999x0Abdu25ebNm4a0GWRT74Z4QObMmVPNTuzOl55ZX1yBuLvQ3WtlxDUw6v0xui++eH+NuBbnz5/n9u3bBvRGmCGte5vR2rRpow3+Kleu7Pbxo0ePZt68eQA89dRTALz//vuG9c8q1BTluHHjAFi2bJnHU61qp6GaZi1YsKCWa6pEiRKAfYpw5MiRgOdTu7Vq1QL0TQEmfZ/dUbNmTQD+97//uX2sM2FhYSn+YeDuvS3gpguFEEIIIawg4KYLvUFPdEHqwQU+f899Jp9NYZakuyB79+6dbAF0SlauXMmXX34JwPHjx03rm6+p/97nz5+vZR3ftm2bYe2raa+FCxca1mZqPImQ9uzZkz/++ANwPnX4+OOP89dffwEkS1WSM2dO3ed0xtPp7aRkkOUmT78AjR5sSTkVz69BehhcuPMaXb2W6eG6CeMkHWj17NkTQCuXAo5cWjt27ADsO+ScDa5c3SVnNbdv39ZKAh0/flwbRKxatQqAw4cP+6xvRnK2/spV5cuX1/JWqam/iRMnauvx1C5FcHxOtm/frq0D85RR67CSkulCIYQQQggTSCQrAHg7l5WZ9EZH9FwDicQk5+7nx9c5zYR/Wr58ubb7bcWKFYA9e/ehQ4eAtKMJ/lYEWk39qULEgS40NNSj49XuzoEvvABAtqxZady48QPPU1HQpNFQTxmd6R4kkiWEEEIIYQqJZAUQWZ/l+jVILxEYV1+n3s+NbOgQiqotWLRoUW19VUp1FFUES49Lly4BsHnzZho2bKi7HSOpTOGbN28G7P9dqDVW8fHxvuqWT6jaj57KpqPmoidu3rzJnj17DG9X8mSlwlkuGaMGMb78UrLiQCwQvqSteF0VbyU6VeeRPFnW5mmerLZt2wL24roq59JDDz0EQPbs2fn0008BWLp0KQCxsbGedNepRo0a0b59e4AUCwRfvXoVQNuR5mzayVP79+/n2WefBfQVcw5UVr4fOvP7778zePBgABITE1N8nuTJEkIIIYSwAJkuTIesMq0YCNGrpKxyXd3hb/0Vvle7dm0GDRoEoJVFud/w4cMBRwbz1atXa9N8Rtm0aRMXL14EHFNyYWFhrF+/HrBP3e3duxdwlOLZvXs3r7zyiiHnV1ODqui2sMvq5Wk+T929exeAmJiYVCNYekkkSwghhBDCBBLJcpM/Jr70ZbQi0KJV/koiVsJTxYsXB+w1A0uXLu3SMe+99x5gX6u0evVqwJF01Agq7cPXX38NONZgKZkyZQLQ1o0Ztd3/xx9/ZMyYMYa0FWhU7cO3335bq8HoC6rg9ahRo6hUqRIAFSpUAKBixYqUL18esL+XALNmzTKlH7LwPRX+UCA6Jd7+UpXBVHLpdVAjC9/9g56F76rcSe7cuXWds1q1agDcu3dP1/Hu6tatG6NGjTK0zWnTpgH2QZ18vlOXI0cOvvnmG8BRwNmbVq5cCcDQoUOd/l5lplcldOrUqUO+fPkA+0YNNb0dFxcH2Afw8fHxxMbGysJ3IYQQQghfk+lCD7iaZdybUR6JYFlDIGXhF+lX1qxZ+fnnnwH9ESyA06dPeyWClSdPHpo2bQrAq6++ali733//PYAWmZEoVtoSEhKYO3cu4IhiBgd7Z8gRERHBjBkzUn3OuXPnAOjUqRMAL7/8sjYl7kxcXBxNmjQhKCjIrb7IIMsAVhloePML3Sqv2er8ccehHvJ5CEylS5emTJkyHrfz999/G9CblGXIYJ+UWb9+vbYOyygLFy5kwoQJhraZXixZsgSAjz76yKvnrVy5cpo7BXv06AHAa6+9BkBISEiqzw8JCWH48OF88sknbvVFpguFEEIIIUwgkawAIFOEwlfks+CfcuTIQcOGDbVcTylR+aU8deTIEUPauZ9aqDx16lQAQ6NYc+bMAeyRLKGPmmJWhZfV+2W28uXLp/pZyJAhA++++65bbWbJkoX69euTI0cOt46TSJYQQgghhAkkkmUBVlo4nxqr9MPfJL1ugbQ+Sz4P/itnzpy0aNGCo0ePcv78+RSfV7lyZUPOp4olGylHjhy8+eabAFoeJCP16tULgIsXL3Lw4EHD2zdLSEgI9erVA+DLL78kKioKcKyLO3z4MJs2bQLQMuKb5cqVKwA8+uijAEyaNInWrVubek7F2UYLVcS8Y8eOutosX748WbJkcesYnw+yvvzyS5555hny5s3r6664zNUvytS+hNz5slXP9eWXmnyhGsNfdx3K++8+K9/b8uXLR/fu3fnll19SHWTVqFHDo/OovFIbNmzwqB1nRo4cqRWINpO/DLDUgLh3797JCmarxLHqZ8uWLbWknO+//z7gKEtktjlz5tC4SRMAsplcficiIgKAXbt2sXPnTsCxQaJv376mnjspn08XxsbGUqdOHbp168by5cuR3KhCiEAg9zYhhCUyvttsNlauXMnMmTOJjIykW7du9O/fP8Xio96SNCuy1SIPvpiCkmiG91jl86b3PZeM73ZWvbfVrFmT9evXU6NGDa1AblLqL/5Nmzbpyo+1bt06AAYPHuxZR5348ssvAWjevLnhbTvTtGlTLly44JVz6aGiMs888wzgyGTuChXJmj9/vtf+CPjuu+8A40oceVvTpk3ZtWuXy8/3eSQLICgoiCJFilCkSBGCg4OJi4uja9euvPHGG77umhBC6Cb3NiHSN59HsiZPnsx3331HgQIFGDBgAE888QSZMmXi3r17lC9fXivy6I74+HgGDBjAvn37CAoKYsaMGVSoUIHu3btz4sQJSpUqxbx589JcK6EiWVaJKiQlkaz0wV+Le0sky9r3tooVKzJ9+nS6d+/u9Pdq+3t4eDjffvstgMuZrjdt2sQLL7zgxqtyTZ48eQDSTDthFPXfXrdu3Uxp/6GHHkr2MzQ0lKJFiwKOBelr165NtY0CBQoYst6tfv36DxTXNluFChV44oknALTPobuLyn3B3UiWzxe+X758mV9++YWSJUsmezxDhgxatlh3DRkyhDZt2jB//nxu377NjRs3GDduHC1atGDEiBFMmDCBCRMmeD0LrRDuksG0/7Lyve369ets27Ytxd+rormHDx/mv//9LwAvvvhiqm0uWLAAgPHjx7vzkjSq5Iqz6UtwlGbxlu3btxveZvny5QFYtGhRqs9TecWGDh2qTY+qgsdJ1a5d25B+jRs3zpSp3dQcPnxY+5x+/vnngH0AnS1bNq/2w2w+ny4cPXr0AzchRc+23CtXrvD777/Tv39/wB6NypMnDxEREfTp0weAPn36pPkhF0IIT8i9TQjh80iW0aKioihYsCB9+/Zl9+7dhIeHM3nyZGJjY7VQbJEiRYiNjU2zrSpVqrB+/XqTe+w5f00LINxj9vssESxrM/LeduPGDXbs2JHm8+Li4vj1118Bx0LlOnXqcOrUKcCee+no0aOAY0HzzZs302xXZZKvW7cuAI0bN+aHH34AYN++fQBcunQp2TF16tRJs10jbNmyBYDZs2cb2m7fvn0ZPny4S899+OGHtX9/9tln2r/VAFvV3WvZsqUhfdu6dash7eillhbMnTvXq+kVvCHgBll3795l586dfPnll9StW5chQ4Y8UNwzKCgoxfUFU6dO1Uo03P8fudWll2LEaXHlGvjzgCKlvnvy3vvz9UgvjLy3Xb161eXpsBMnTgDw6aefAnD27Fld98axY8cC0LBhQwoWLPjA7xs1agQ4CvbWq1dPmyq7dOmS9nszHTp0iAEDBhjSVsaMGQHHbsgm/+aH8sT06dM9bsOZP//805R2XaWWhi9dulRLAps5c2ZfdsmppUuXaglWXeXz6UKjhYaGEhoaqv2F1LVrV3bu3EnhwoU5e/YsYL9JqNQM9xs4cCCRkZFERkaSP39+r/VbCCFSY+S9TQ0AhBDmCrhIVpEiRXjooYc4fPgwFSpUYM2aNVSuXJnKlSsze/ZsRowYwezZs+nUqZOvu2qK+yMS6S2y5err3b9/f8BFb1ytMODp6/aXMlCBxsh7271791ya1ktKTeO522eAp556SttJlpaJEycCcODAAS1iVrhwYS1LuRl+/vlnwJE3ylOlS5dm1KhRgPemOfX4559/AHPKHulx4MABrQSPmqZO6Y8Gb1HXaMXKlbw1YkSqFRKcCbhBFtjDs7169eL27duUKVOGmTNncu/ePbp168b06dMpWbIk8+bN83U3hRDCLXJvE8K/BOQgKywsjMjIyAceX7NmjQ96Yyx3owRGrdOyenRCz2u0Qk1IM6R0LYx4na5c5/3799O0aVOPzyUeZLV7W8aMGUlMTHzgcbXb0ZOkq0k3HRUuXJivv/4acCz6zpcvn+6277ds2TK3nl+6dGmt8DI4cohVrVoVgI8++ijFnaVWojLzu6JMmTIAHD9+3KzuAJCQkADY1z8BPPfcc6aeLyVq7dXcuXMB+OKLL3S1E5CDrEDli8GAPwxAPB1EBsLUoauDH9D3nqa3aef0Tg1gVLZ6cCTNLF26tJbv6c0339TWd6kCxWFhYYYk8Pz999+1f+/Zs4eYmBjAkcPr/PnzWioMtU5N9csV169fB6Bfv35Op0JVQtemTZtqu/jU4vXly5cTFxcH2BO3rlq1CkDLKeYvNm7cmOrvVc6qAQMGaEWn1XX53//+p+VGi46ONrxvqsCztwZZBw4c4PLlywAUK1ZMG9QvX77co3YDbuG7EEIIIYQV+LysjpVZpayO2QuVzTx3aoxaQJ0epkNTYvZ7q7d9d0tPCO9S97b75cyZE0g7b9KtW7cAe06stEr4uEtFE9QCaFeoRdJqSssVKp3F5MmTtQhY69attYhNaGioy235q2bNmgE8sJj7ySefBGDMmDEutTNu3DjmzJljbOf+FRoaqm2a6NGjh+GfNxUxnTRpkpbzLWkqlHv37iV7vrslwySSJYQQQghhAlmT5WX+EjHxZQTL2fP85bp5i6+jqyJwqMXar732msuLtbNmzZrsp5HcWQOjIlDuRLCU0qVLAxC5YwfZTHgd/kBlkE9ab7JChQouR7CUDh06aNFEowtNR0dHM2XKFMCeaiOtotmuUrtwx40bBzjW+oE9OapRk3wyyHKBETv0fDVIsNKXsSd9cTbg8uVr82WuKKNedyAs+BeeadasGcOGDQP0DVSMtGfPHgC++eYbl49R0116GFWSxp85GxDpyaxfrVo1bdC6e/duj/uVkmvXrmmfj6eeegrAraThN27cAOwFqc2a3ryfTBcKIYQQQphAFr6nIqXFoa5GEnwZJfBFlMfVjONWZNYieyM/A2Zcw7T6JwvfA5O6t61bt87nGbXBnhtJpWFwVdLUCc5qIfrS9evXyZ49u6+7kSaV6X3gwIFcvHgRsKdmqFmzptttqUjk008/bVwH/6WmpW/dukXFihUBOHnyJACtWrXigw8+ACA4+MHJOZvNpt2LVFoGVQRcD3cXvst0oQ5WnmKx0hRaoBWs1pvw1Je7Q4VwJl++fPTs2dPnA6zVq1cDMGTIEJePKVu2LACLFy82pU/uWrhwofY61Jf5k08+qU1HhoWF+apraVJr2tq3b8+2bdsAdA2wAKpXrw5A7dq1AZwmzdUjLCyMQYMGAXDkyBEtGa1KBrtq1Spt/ZS6/lu3bqVFixaAfffg/PnzATh9+rRHfcmaNSsZMrg3ASjThUIIIYQQJpDpwlSkNF1oZRL10McbU516I1pmvqdmTZPKdKG11axZM1nZGm9TkQW1s0sV4U1NgwYNAHteK4CQkBCTeuealStXAjB06FCnv1e5ps6cOQNAp06deOyxxwDIkSOHF3roGyqCdO7cOV3H58qVC7BnmQd7bqy0pl5Vpv1FixYBcOrUKe132bJlc7sYekq6devGnDlziI2NdfkYiWQJIYQQQphA1mQJIYTwmpUrVzJq1Ci3jqlSpYq2dV/VSvS1tPJ5LVy4EHAUj96+fTtZsmQB7Av9q1WrBqAt5PZ3ly5dAvRHsMC+NmzChAmA47q54vHHHwfgu+++e+B3rkaxypcvr9XnjIuL49q1a4Ajynr+/Hkee+wxLR+Yq2SQJQSeFU8WQiSndl8tW7YMsA+s9ExPquk1NUVoFTdu3NB2vOXJk4f4+HjAUVA56Rd70hU5w4cPByBLliy0adMGQCt8feHCBa0dVbw6aYLMzp078+GHH5rwapLr0qWLVvjZHWvWrNF9zh9++AGAGjVq6DpelUBSmwzc+aypot9DhgyhQoUKKT6vQYMGNGzY0O2pXpkuFEIIIYQwgUSyhEinJGonjLBz504A1q1bB8DGjRu1QrueUoWBrSYkJEQrSdO6dWvtv6X/+7//A+zpDFRkJzo6+oHj//nnHyIiItw6p4rqmWXDhg2APc2Byobeq1cvl47966+/tOPdoa6b3gjW/Zo2bQq4Fsnq06cPYC8nBWlPQ//xxx+6+iSRLCGEEEIIE0gkK8BYoa6fP0sPa7PceW3yORLO3L17FzAuAuFMvnz5PKpNaDaVFFX9BHu2dLBnP589e7Yh58mXLx/gWDtkFlV4+fr161pqjYkTJwLQtWtX+vXrB0CRIkUAOHr0qJY6YfPmzdpCcXfUq1fP434ndeDAgVR/rzYevPfee16Lksogy8t8WVjYF5y9Hn/44jayj56+p0YNnAPtsyV8Y8+ePW5laNerbdu2pp/DLEFBQdp04vTp0z1qS+UHM9umTZseeEztrJszZ442hajeF7WpwRN6ilGnRu1anTdvntPfN2zYENA3Dd2sWTNtStwdMl0ohBBCCGECiWR5iatRiPQ0XeUPES1PGfk+enLd9PQjPbw/Im2qcLD6K/7LL7/UciKZqVq1apw9exaAokWLmn4+I1WrVo3PPvvMkLa8MWV6/Phxl/NbGRHBUh555BHD2gLYu3dvqr9v3Lix223u2LEDQMuh5S4ZZHmBLwoL+8NAJunrs3I/FXcKXps5SLZKP4T/stls3L17l8TERG2dSkrMXgt0P5WEcubMmXTo0MGr5zZKTEyMVnDZEyEhIabvKgTHeixvKlmypOFt/v7776n+XhXtdodKOnv48GF+/fVXrly54tbxMl0ohBBCCGGCgI1kJSYmUrt2bYoXL86SJUuIioqiR48eXLp0ifDwcL7//nsyZ85sah88jc4YMXXoTtTDDK6+Bn+IvIF1IkNW6YfwPiPubQcPHqROnTrMnz+fkydPAvD3339z5MgRAA4dOgRAVFSUuS/GCZUhvVOnTl4/t1FWr15tSDuPPPIIwcHmf007W/RutpMnT7Jq1SpAX4TJmS1btjh9vHDhwoA9O7+71DR5QkICo0eP1jL0uypgI1mTJ0+mUqVK2v9/8803GTp0KH///Td58+b1eMeHEEL4gtzbhPAfARnJio6O5rfffuOdd95h0qRJ2Gw21q5dq9VH6tOnD++//z6DBg3ycU/Tj6QRqtSiMP62TisQyXW3LqPubTabjdu3b9OxY0dvdFuXlStXagujS5YsSUhIiI975Lq01ga5qlatWty6dQtAq5VohsjISNPaTs0vv/wCQIsWLQDIkMGzuM+uXbucPq7WHf7111+Ao8ZhalTESm2+AHtNynv37rnVp4AcZP3f//0fH3/8sZYc7dKlS+TJk0cLu4aGhnLmzBlfdtEtnk4bWm0qTs+Ay502hQhUgXZvS83+/fuZNGkSANOmTfNxb1KndmC+8847AGzdutWQdidNmqQNNKtVq2ZIm0lt3rwZSF7E2pvU5gA1kNQzkE5MTEyzjNOpU6cAx6YKVyxdutTtvjgTcNOFS5YsoVChQoSHh+s6furUqdSuXZvatWu7PWIVQgizyL1NCP8TcJGszZs3s3jxYpYuXcqtW7e4evUqQ4YMIT4+nrt37xIcHEx0dDTFixd3evzAgQMZOHAggOkL492VHtI6pEdWqQIgnwtrs+q9LX/+/IBjOsuoSNqdO3e0fi5dupSaNWsCxuXMUgua8+XL51F5oGPHjvHBBx8Axk+7FStWjAoVKhjaZlIqkmWGTp06pVkEW2WUV2V8xowZ43L7ahpv6dKlzJw506Vj3Hmfjdq8EHCRrPHjxxMdHc2JEyeYO3cuzZs3Z86cOTRr1oz58+cDMHv2bL/euSKESH/k3iaE/wm4SFZKPvroI3r06MHIkSOpWbOmVlfK3wRCWoek0kOG+9S48j544xoZXavx/PnzhrUnUufte1utWrW0BJkdO3bUtsWrxfcqKmGEDRs2ALB+/XpeeuklAHr27AlAjhw5yJQpU6rHHz58GHAklNywYYP2WLZs2ZKdw10qKWXfvn1Ny4AfExOj1Yn8z3/+Y3j7lStX1n6mVVzZmYwZMwKQPXt2Hn/8cQDt81e0aFFefvllAD7//HMg5XVOv/32G2AvPj148OAUz5eQkKCtd1O1FLdv355mP1UU1B1pZY93VZDNVyve/EDmzJkpVKiQx+2YOaDx9IvXKoMtf3gdRg5yPOmvVfqREjXIun37tuFtC2O4c29TOYbSygp++fJlwD4Np0qvpJS3SI8CBQoAjvImzz//vJaN/u7duwAsXrxYy720adOmVNeelSpVCoDq1avz9ttvA5AzZ06X+rJy5UqGDh3q/ovQQQ1knn/+eV555RXTzqPuBT/99BOLFi0C7IvKU1O/fn0A3n//fUJDQ9M8R1RUFH369AFIcWCqdgI+88wzALzwwgscPHgQgIiICG0a7+rVq2meD6BevXq8+OKLANSpU8elY1asWMGwYcOc/s7de1vATRcKIYQQQliBRLJSYVQkCySalRZ/eA1GRJCM6mdaffHVe6r6JZEsa3P13la/fn2+/vpr7RhXtW/fHoDTp08DjkiTkWrWrMmFCxcAe/4wvbJnz66lSejQoQOtW7dO9vudO3dqU1SqWPCOHTu4c+eO7nPqkStXLm1huMorZRb12mbMmKH9TEhIeOB5amrPnZyTr732GuCYwnVFiRIlAEcqBnd88skntGvXzq1jXn/99RSnNt29t8kgKxVGDrIUKw+29PDWoMFb/UiNvwyyfDlolkGWf0jr3qYGSe+PHk02N5NgXrlyhb///huwZ6cHx+DE6pIm/9SzRslspUuXBtAGvmrwYbaRI0eycOHCBx7/7rvvANxKK6J2BZpd+FrtOAwPD9emXF1Vv379FKcjZbpQCCGEEMIC0s3uQquQXFXCCPfvOPT15ym97g4NNJ07dwbgww8/1N1G7ty5tciGWnC8dOlSbReYlTPS79y509ddSJWKrngrgqWMGTOGihUrAjBhwgTAniVeT2JcleesV69e2g5BM6gpYHeoKJuri+pdIZEsIYQQQggTSCRLeMTTSIpEQISwhtq1a3sUwXKmQYMG2k+1fmfatGlcv34dcGT8FmmrU6eOqSkc0tKlSxfAXp4JXE93kZLnnntOS/Wh0n94StUmvH/zgqvSSlOihwyyUlGlShXWr1/v9HGRnJ4Ep0ZeR29Mm7nTtpTCEf7G7IXIaiqyatWqPPvss6aeKxA1adJEd91KI6jkrcOHDwfsmxrU9JqeUkfFihVzq2CzK9SU5sSJE3Udv2nTJiO7A8h0oRBCCCGEKSSSpYMnZU4COfLgajQpPUQCk14DM16vLHgXRtM7xeKqHDlyAGgZ2YV7rPLfmrrnnDt3TiulpHJfuSssLAyANWvWPPA7VRj74sWLqZYtypQpE1WrVgXgzTff1NUPxegC3yCRLCGEEEIIU0gkywNWKW7s6/Pfz5f9sVLxayXp58SICFTS6+vLiJbVPndCn4IFCwIYnng5JZ6ue1G17dLLonmVSLNSpUo+7ond0aNHtX+rjPB79+7lm2++ASCrG8lre/ToAaBthKhYsSIZMthjP6rgdMWKFbWM+/PmzWPlypWAo5Zljx49tFQhnrh27Ro3btzwuJ37ySDLAPv37/dZmRP5onuQVabSUpP0ffO36VWr9UcYY/LkyfTs2RNwDLyMFBsbC8Dx48ddPqZy5coAtGzZUiuN8vPPPwOwbds29u7da3AvrUcVxPZ0N59RTpw48cBjf/75pzbV1qhRI5fbUgMyNTX4+uuvO31evXr1kv0Ex2CvfPnyLp/PmXPnzgHw0ksvedROSmS6UAghhBDCBBLJ8gIzIipmLLoPtAiFP0S0wDrX3Sr9EN6liiyr/EcA/fr1A4yLnty8dYv33nsv1efkzp0bgFGjRgEpL8QfOnQoYF8s/csvvwDw119/ARAfH29Ab61FRbKsIqVs6C+88ALgqK/Yt29fLbeWil6WKVNGy6q/du1aGjZsCMAbb7zhdj88jWApGzduBODw4cOGtHc/GWSlA64OMqyyxsxoVlynZTWB9p4LfWbPng04Bi2qyK6nXnzhhVR3buXMmZOPPvoIgEcffdSlNlu0aEGLFi0A6N+/P4C2dieQWG2QpXYUPvnkk05/HxUVBcB7773Hxx9/DDimA3fs2EHZsmUBOHbsmPY5C6tZE8DtYuSeUMlx1efOLDJdKIQQQghhAolk+Rl3Iw56IjiuLOQX1uBphE7eZ5GU2rFXpEgRQ9pTkSa1uDglM2bM0Ba56+HOYnp/ExcXB9gjPyoK5EsPP/wwYI9kLVy4MNXnJiQkAPYIlnLs2DHt37t27QLg2r9TkN6KZJ04cYINGzZ45VwSyRJCCCGEMIFEsvyIO1EHTyMcgbQ+yyrrsYyMEBrxmgLhvRXmUBEoPe7cuUP79u2BlCNYKvfT7t27AXTXsFPb+M+fP6/reH9w5MgRwL7WyQqRLOXZ3r05dOgQAAcPHvSoLW/laFOmTZvmtfV7MsgykVW+3IV1GDF4lSlCYRaVUNLVxefObNu2jejo6BR/X7BgQf73v/8B+gdXirOcTf5GFV4uV66cNvhUEhMTGf3BBwBU+HeazioqPPww8+fPB+D555/njz/+cLuN7NmzG90tl6jF+eDYQdu/f3/t85g1a1amT58OeD6Al+lCIYQQQggTSCTLAM4iA0ZGsSTyEHj0FJCWyKgwU7Zs2bSCvXqoPEPvvvtuqs9r1KgRoaGhus+j3Lx5Uyux4o9UBKtt27YAfPjhh77sjkfGjBnDU089BZBqMWeA4GD7sOPZZ59l+PDhpvcN4PLly4CjgPSePXu036mF/M8//3yyY5o0aQJAmzZtPDq3RLKEEEIIIUwQcJGs06dP07t3b2JjYwkKCmLgwIEMGTKEy5cv0717d06cOEGpUqWYN28eefPm9ehc7tSf87R9Ebi8vcnA2flc/fzKZ9J3zLq3qXVAW7ZsIVOmTG736+zZswC89tprQNprWFRGcE8NHjzYb5OPZsqUiT59+gDwyiuv+Lg3nitcuLBWJWDixIkA3Lt374Hnde3aVcv8f//6M73WrVun1cWsW7cukPwztnPnTj755BMgeQRLKVq0qNN2VRJYtX5w5MiRutYABtlsNpvbR1nY2bNnOXv2LLVq1eLatWuEh4ezaNEiZs2aRb58+RgxYgQTJkwgLi4uzUyvmTNndmnXgxUHWEb1KRC+VP1tmi2la26115HaZ+P8+fPcvn3bi70JfGbd2/bt2wfoX4Tubrb1zz//nJYtW+o6F0CHDh0A/86N9eGHH9K5c2dfd8MUXbt2BZLvOAwJCQHshaQ9dfHiRQCtpNK3337L9evXH3ie+oMhV65cqU5h9u3bFyDNqctPPvmEWbNmuX1vC7jpwqJFi1KrVi3AvmugUqVKnDlzhoiICO0vhz59+rBo0SIf9lIIIdwj9zYh/E/ATRcmdeLECXbt2kXdunWJjY3VwoJFihTRwouesGIE6/529PYxECJY/spfMu47+2z5Q78DgZH3Nk/SKJw5c8btHElFixbVFiLny5fPpWMuXryoTav5cwTrq6++AuyL/wOVSuuQ9F6gFvl76ty5c1qBcGdTf0nduXMHSHshvqtT62m1k5KAHWQlJCTQpUsXPv/8c3LlypXsd0FBQSneWKZOnapVo3c2p+xv9BRHli9KoZf6rDVt2tS3HQlgRt7bPP3y69q1K1f/LYniqu7du/Pcc88B8MQTTwD2NTRq11lSmzdvBuDnn39O80vVH5QoUQLA6WsNFHfv3n3gsSxZsnjUplrV5EmS3JTkyJHDpeddu3ZNV/sBN10I9hFsly5d6NWrlzbvXbhwYW2B5tmzZ1NcazVw4EAiIyOJjIwkQ4aAvDxCCD8l9zYh/EvADadtNhv9+/enUqVKDBs2THu8Y8eOzJ49mxEjRjB79mw6derkw156l6tTh4EawdITzbMiT6eAhX8z4942atQoXX2pX78+gNtRLGXWrFkALF++HIAhQ4YQExMDwMaNGwH466+/dLVtZZkzZ/Z1F0znbFG4mrrzVJs2bbTPjFFc3VF769YtXe0H3CBr8+bNfP/991SrVk1LrDdu3DhGjBhBt27dmD59OiVLlmTevHm+7agQQrhB7m1C+J+AG2Q1atSIlLJSrFmzxpBz+GskIVAjVWnx1/crJYESmRPuMfLeVjw0lA8++EBLh+COVq1a6Y5g3U8VkH7rrbcMac/KMmTIYFhuKDOoNW8TJ07k7bffBqBChQput+NsTdaFCxcA6Ny5s5Z6wR1qneGHH36oraEqVqwYAF26dGHbtm0A7Nq1C7Df89WGjLSiaGlt/Dhw4ACAFml1V8ANskT6lN4GHTJ1KDyRJ3duOro5wBo0aBBg31EoXKcKEL/88svkyZPHt51JwU8//cRPP/0E2MsjqVxUegZZqTl8+DBDhgwBYPLkyW4fHxISwujRox94/PHHH0/2ExybJsaOHcvJkydTbDOlnFd79+4F7ElIAerVq8c777zD//3f/7nVZ1n9KIQQQghhAolkCb+XnqM5/pIdXvi/Q4cO+boLfil79uyAvSCyVagpvc8++wyAVatWJYtQOpvyS4tKC9K9e/dUn7d69WoAPv30U1MLRDds2BCApUuXMmHCBMBeggcgNjZWm0b84osvAHuakKxZswL2qV01xVm9enUAXn/9dUJCQlxO+aBIJEsIIYQQwgQSydLBrPUwaS1MT68pGFISqNEaI95HWbMljCa5tfRREZPbt2/7NIXDli1bAHvKggULFgCwfv164MFUHDdv3nS7ffX5+PnnnwFHseaUzJ49m+joaACtlmXSNVVGGjFiRLKf8fHxWikqFcG7v3KBKmGVVh3QtMggy8Lc/YL0l3IsnrLywMGIwY0R76OVr5HwT65m7c6SJQuPPvoo4PiiHTt2rGn9srp//vkHsA9cfDHIWrVqFQBz5swBXCvSnJCQoPt8rk6n3bt3T+ub+vnGG29oC+MHDhyouw9pyZMnDxEREQDMmDEDsO+qTMqoHbTyp4kQQgghhAkkkmVReiMR6rj0ENGyGqtcc4liCTOoBdz3UxGHVq1aAVCpUiXtdyqvV8+ePbUs9Zs2beL69etmdtVSbty4AdgjI7lz5/bquZcsWaJFsNyp/XjlyhWPzx25Ywe1w8PdPm727NmAIzu+qnNpFpVv636NGzc2pH0ZZHnAqHUvZnw5y2DLe6zy/sngSpjh1KlTQPICuaoUSb169XjxxRcB59OJSRM9Tpo0CbCXzfnqq68ARy6iQKZ23cXFxfHQQw959dyXL1/WVVj78uXLHp87W9asLFy4ELAXEgdITEx0+lz1OalQoYK2Vqpjx44e98EVqmj3/V555RVD2pfpQiGEEEIIE0gkywB6ypxIfiP/540oYXrZzCCsS+0WO336tPbY1KlTAXjkkUfcbu/RRx/VSqucPXsWQMswHshU3iVvKlSokK7jjHo/Hn74YQD++9//AvaqAc7K3BQsWBBA2/XoTWXKlHH6eFRUFOB51nuJZAkhhBBCmEAiWQaxarQh0CIhVon0efOaurI+yyrXRQSe0NDQZP9/0KBBuiJYSalM49OnTwcc67UCmSqG7U0pLepOy5IlSwBHOoZ3333Xo37Ur18fgE8++UQrBp40F5das+ULKsv7/Tp37gzAsmXLgJTXbqVFBllCuMjXg1XZzCC87caNG1oZFCUuLs6w9mvXrg1Aly5dfDJV5E0xMTFeO5fKc6UWnuul3pMcOXIwdOhQj/vVsmVLrWTPggUL2LFjBwBPPvmkx217Kk+ePMTHxz/w+OHDhwH9gyyZLhRCCCGEMIFEstIBiYB4xmrXTaYGhdlUCZYtW7bwxx9/AI6pJ0+njpKqUaMGANWqVaNDhw4AvPfee4AjdUSgmDdvHkeOHAFg2rRppp5LZS9XWc31UovU586da0gkC6Bt27bJflpFuXLliIyMfODx7777Tvt96dKl3W5XIllCCCGEECaQSFY6IhEt98h1EunJ5cuXtUiLKop79OhR7fdmrinKkCEDderUAaBs2bKAvYivUfXjrODGjRts27YNgDZt2jB58mTA8xQB9/vkk0+0dXSqbqKnEhISGDlyJOBYR/fEE08Y0rZVVK5c2Wkka+fOnQAMHjyYMWPGaBn8XSWDLCFMYFQ1ACHMcOjQIRo1asTVq1dTzMKdkqNHj1K+fHmTeuaY6lq8eDHvv/++aefxlrx58wLw4osvkitXLsBeoih//vy621RTd6dPnyYkJARw7AQ8fvy4IRnb76cW0aufGTJk8FpWdm9QU9cpOXHiBIMGDXJ7GlumC4UQQgghTCCRrHQo0HJnWZmeagBCmC0xMVF3KobIyEhTI1mqBmL16tVNO4c3qevcsGFDXQunnVFRq4MHDxrSnh5vvfWWFkV77LHHfNYPo6hp0NRcu3bN7civDLKEEEK4LDIykqefftr081SoUEHb0ejpejBV0Do0NFRLrqryHpUqVYpSpUoBMGvWLLZu3QqkXMxYr7379hk2yFIDUFWeyB1BQUHYbDZD+rFq1SoAmjRpol1jf1WgQAFT2pXpQiGEEEIIE6SrSNby5csZMmQIiYmJDBgwgBEjRvi6Sw+QBdPWYOR0atK25H0VZvDmvU3ttvIG9d+Oq5GsOnXqULVqVcAeoVLFf9WOxdy5c6d6fJkyZdi4cSOA4Yvu9+7ZQ8d/c4F5ypOyRhkzZmTevHmAY/dhdHS0tqD79OnTLFq0yKW2VPmdJUuWaFOH6lpXrFhRe//CwsIAUpxmViV2smXL5uarMZaKNKri0EZIN5GsxMREXn75ZZYtW8aBAwf48ccfOXDggK+7JYQQHpF7mxDWlW4iWdu3b6dcuXLaXzY9evQgIiKCypUr+7hnwh1mLyQ3e0OARCqF0bx9bzt//jyXLl0C8CgNgSvUWqm0qNQIvXv3pnnz5rrPV6RIERo1agQ4FuDfvn3bkDVMe/fu9bgNZfny5YA9MnflyhWXjlGRprfffpuSJUsCjuLI928yyJw5M+BY86XqDaZG5Y9Sr3Pv3r38/PPPgCONRcuWLRk1atQDx06dOhWwZ1V//PHHXXo9ZggPDweMjWSlm0HWmTNneOihh7T/HxoaqiWGsyLZlZYyMwYq/rrbUgZtwhf3tjZt2gDwwQcfeFQeRSU/3bdvn7ZTTj127Ngxl3dA9uzZE8CjAZZStGhRwFEcecqUKaxZswZwlJnR48CBA5w+fRog2fulh7pWrgyw1BSces86dOhAcHDqX/1qIKQGR9OmTePevXtu91MthlcDp7feesvp84YMGQLADz/8QIMGDQB7qSWw7/qrW7cuYP6OU3Xu+fPnG9ZmuhlkuWrq1KnaqFrPh0oIIaxI7m1CeF+Qzai9nBa3ZcsW3n//fVasWAHA+PHjgZRH1mDf0pk9e3YKFizolT7qceHCBUv3D6zfR6v3D6zfx/v7d+LECS5evOjDHqUfcm/zHav30er9A+v30eN7my2duHPnjq106dK248eP2/755x9b9erVbfv27UvzuPDwcC/0Tj+r989ms34frd4/m836fbR6/wKZ3Nt8x+p9tHr/bDbr99HT/qWb6cLg4GCmTJlC69atSUxMpF+/fn67DkcIIRS5twlhXelmkAXQrl072rVr5+tuCCGEoeTeJoQ1pZs8WXoNHDjQ111IldX7B9bvo9X7B9bvo9X7Jx5k9ffM6v0D6/fR6v0D6/fR0/6lm4XvQgghhBDeJJEsIYQQQggTyCArBcuXL6dChQqUK1eOCRMm+Lo7nD59mmbNmlG5cmWqVKnC5MmTAXt9reLFixMWFkZYWBhLly71aT9LlSpFtWrVCAsLo3bt2gBcvnyZli1bUr58eVq2bOlygkEzHD58WLtWYWFh5MqVi88//9yn17Ffv34UKlRIq7kGKV8zm83Gq6++Srly5ahevbrX6sg56+Prr79OxYoVqV69Ok8++STx8fGAfYtztmzZtGv54osveqWPwjVWu7eBf9zf5N7mPrm3kX5SOLjj7t27tjJlytiOHTumbYnev3+/T/sUExNj27Fjh81ms9muXr1qK1++vG3//v22UaNG2T755BOf9i2pkiVL2i5cuJDssddff902fvx4m81ms40fP972xhtv+KJrD7h7966tcOHCthMnTvj0Om7YsMG2Y8cOW5UqVbTHUrpmv/32m61Nmza2e/fu2bZs2WJ75JFHfNbHFStW2O7cuWOz2Wy2N954Q+tjVFRUsucJ67Divc1m84/7m9zb3Cf3NptNIllOJK0FljlzZq0WmC8VLVqUWrVqAZAzZ04qVarEmTNnfNonV0VERNCnTx8A+vTp43KFd7OtWbOGsmXLanW8fKVx48bky5cv2WMpXbOIiAh69+5NUFAQ9erVIz4+nrNnz/qkj61atdLKc9SrV4/o6GjT+yE8Y8V7G/jv/U3ubamTe5tMFzrlrBaYlf6DP3HiBLt27dLqOU2ZMoXq1avTr18/n4arAYKCgmjVqhXh4eFaCY/Y2FitHliRIkWIjY31ZRc1c+fO5emnn9b+v5WuY0rXzKqfzRkzZiSrYRcVFUXNmjVp0qQJGzdu9GHPRFJW/fwkZdX7m9zbjJHe7m0yyPIzCQkJdOnShc8//5xcuXIxaNAgjh07xl9//UXRokV57bXXfNq/TZs2sXPnTpYtW8ZXX33F77//nuz3QUFBBAUF+ah3Drdv32bx4sU89dRTAJa7jklZ5ZqlZOzYsQQHB9OrVy/AHpU4deoUu3btYtKkSfTs2ZOrV6/6uJfCH1j5/ib3NuNZ5ZqlxIh7mwyynChevLhWLR0gOjqa4sWL+7BHdnfu3KFLly706tWLzp07A1C4cGEyZsxIhgwZeP7559m+fbtP+6iuU6FChXjyySfZvn07hQsX1sK+Z8+epVChQr7sIgDLli2jVq1aFC5cGLDedUzpmlntszlr1iyWLFnCnDlztJtllixZyJ8/PwDh4eGULVuWI0eO+KyPwsFqn5+krH5/k3ubMdLbvU0GWU7UqVOHo0ePEhUVxe3bt5k7dy4dO3b0aZ9sNhv9+/enUqVKDBs2THs86Zz1woULk+2Q8Lbr169z7do17d8rV66katWqdOzYkdmzZwMwe/ZsOnXq5LM+Kj/++GOycLqVriOQ4jXr2LEj3333HTabja1bt5I7d24t9O5ty5cv5+OPP2bx4sWEhIRoj1+4cIHExEQAjh8/ztGjRylTpoxP+iiSs+K9Dax/f5N7m3HS3b3NmPX5gee3336zlS9f3lamTBnbmDFjfN0d28aNG22ArVq1arYaNWrYatSoYfvtt99szzzzjK1q1aq2atWq2Tp06GCLiYnxWR+PHTtmq169uq169eq2ypUra9ft4sWLtubNm9vKlStna9Gihe3SpUs+66PNZrMlJCTY8uXLZ4uPj9ce8+V17NGjh61IkSK24OBgW/HixW3ffvttitfs3r17tpdeeslWpkwZW9WqVW1//vmnz/pYtmxZW2hoqPZ5fOGFF2w2m802f/58W+XKlW01atSw1axZ07Z48WKv9FG4xmr3NpvN+vc3ubfpI/c2m00yvgshhBBCmECmC4UQQgghTCCDLCGEEEIIE8ggSwghhBDCBDLIEkIIIYQwgQyyhBBCCCFMIIMsIYQQQggTyCBLCCGEEMIEMsgSfuXPP/+kevXq3Lp1i+vXr1OlShX27dvn624JIYRH5N4WmCQZqfA7I0eO5NatW9y8eZPQ0FDeeustX3dJCCE8Jve2wCODLOF3bt++TZ06dciaNSt//PEHGTNm9HWXhBDCY3JvCzwyXSj8zqVLl0hISODatWvcunXL190RQghDyL0t8EgkS/idjh070qNHD6Kiojh79ixTpkzxdZeEEMJjcm8LPMG+7oAQ7vjuu+/IlCkTPXv2JDExkQYNGrB27VqaN2/u664JIYRucm8LTBLJEkIIIYQwgazJEkIIIYQwgQyyhBBCCCFMIIMsIYQQQggTyCBLCCGEEMIEMsgSQgghhDCBDLKEEEIIIUwggywhhBBCCBPIIEsIIYQQwgT/D6+OGsTABlVQAAAAAElFTkSuQmCC' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Layout\n", | |
" .Image.I :Image [x,y] (z)\n", | |
" .Image.II :Image [x,y] (z)" | |
] | |
}, | |
"execution_count": 25, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"timage(I0) + timage(I1)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Plotting functions" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def plot_warp(data, color='lightskyblue', nb_lines=32):\n", | |
" skip = int(np.max([data.shape[1]/nb_lines,1]))\n", | |
"\n", | |
" vert_lines = hv.Points(data[:,::,skip::skip].reshape(2,-1).T)\n", | |
" hor_lines = hv.Points(data[:,skip::skip,::].reshape(2,-1).T)\n", | |
" warp_plot = (vert_lines * hor_lines).opts(hv.opts.Points(color=color))\n", | |
" point_size = {\"bokeh\": {\"size\" : 1, 'alpha':.5}, \"matplotlib\": {\"s\": 3, \"alpha\": .5}}\n", | |
" warp_plot.opts(hv.opts.Points(**point_size[hv.Store.current_backend]))\n", | |
" return warp_plot" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 27, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def plot_all(I0, I_, I1, data):\n", | |
" warp_image = timage(I_).opts(title='Computed') * plot_warp(data)\n", | |
" img = hv.Layout([\n", | |
" timage(I0).opts(title='Template'),\n", | |
" warp_image,\n", | |
" timage(I1).opts(title='Target'),\n", | |
" ]\n", | |
" )\n", | |
" return img" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 28, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def plot_loss(loss):\n", | |
" size = {\"bokeh\": {\"width\" : 500}, \"matplotlib\": {\"fig_size\": 200, \"aspect\":2}}\n", | |
" loss_plot = hv.Curve(10*np.log10(np.array(loss))).opts(hv.opts.Curve(xlabel=\"t\", ylabel=\"loss (dB)\"))\n", | |
" return loss_plot.opts(hv.opts.Curve(**size[hv.Store.current_backend]))\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Optimize on an Orbit" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 29, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.sum_representation import RepresentationProduct\n", | |
"from diffeopt.group.ddmatch.representation import DensityRepresentation\n", | |
"srep = RepresentationProduct(FunctionRepresentation(group), DensityRepresentation(group))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Prepare the ground for the loss function." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.utils import get_volume\n", | |
"vol = torch.ones(group.shape, dtype=torch.float64)/get_volume(group.shape)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from torch.nn import MSELoss\n", | |
"mse = MSELoss()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Instantiate an optimizer:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 32, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.cometric.laplace import get_laplace_cometric" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 33, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"torch.Size([2, 128, 128])" | |
] | |
}, | |
"execution_count": 33, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"(list(srep.parameters())[0]).shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 34, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.cometric.laplace import get_laplace_cometric\n", | |
"from diffeopt.optim import GroupOptimizer\n", | |
"oo = GroupOptimizer(srep.parameters(), lr=1e-1, cometric=get_laplace_cometric(group, s=2))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The following is only useful for restarting the calculation." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 35, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"srep.perturbation.base.reset()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 36, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"orbit_losses = []" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Main optimisation loop:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import tqdm.notebook" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\\\\(I_0\\\\), \\\\(I_1\\\\) are images, \\\\(\\mathrm{vol}\\\\) is the volume \\\\(2\\\\)-form.\n", | |
"\\\\[\n", | |
"D_1(\\varphi \\cdot I_0, I_1) + D_2(\\varphi \\cdot \\mathrm{vol}, \\mathrm{vol})\n", | |
"\\\\]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"'3.25e-04'" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"CPU times: user 4.09 s, sys: 231 ms, total: 4.32 s\n", | |
"Wall time: 4.38 s\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"for i in tqdm.notebook.tqdm(range(2**11)):\n", | |
" oo.zero_grad()\n", | |
" I_, vol_ = srep(I0, vol)\n", | |
" loss = mse(I_, I1) + mse(vol_, vol)\n", | |
" orbit_losses.append(loss.detach().numpy())\n", | |
" if not i % 2**6:\n", | |
" tqdm.notebook.display('{:.2e}'.format(loss), clear=True)\n", | |
" loss.backward()\n", | |
" I_.detach()\n", | |
" vol_.detach()\n", | |
" oo.step()\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 39, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Curve [x] (y)" | |
] | |
}, | |
"execution_count": 39, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"plot_loss(orbit_losses)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 40, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<img 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' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Layout\n", | |
" .Image.I :Image [x,y] (z)\n", | |
" .Overlay.I :Overlay\n", | |
" .Image.I :Image [x,y] (z)\n", | |
" .Points.I :Points [x,y]\n", | |
" .Points.II :Points [x,y]\n", | |
" .Image.II :Image [x,y] (z)" | |
] | |
}, | |
"execution_count": 40, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"data = srep.perturbation.base.deformation.backward\n", | |
"plot_all(I0, I_, I1, data)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Large Deformation Framework" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 41, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import torch.nn" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Create a network of small deformation:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 42, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"DEPTH = 16" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 43, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"application/vnd.jupyter.widget-view+json": { | |
"model_id": "387290c3697146e0ac2e9fdfde49edbc", | |
"version_major": 2, | |
"version_minor": 0 | |
}, | |
"text/plain": [ | |
" 0%| | 0/16 [00:00<?, ?it/s]" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"CPU times: user 16.1 s, sys: 686 ms, total: 16.8 s\n", | |
"Wall time: 17.7 s\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"seq = torch.nn.Sequential(*[FunctionRepresentation(group) for i in tqdm.notebook.tqdm(range(DEPTH))])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 44, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"ldf_losses = []" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 45, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from diffeopt.optim import VelocityOptimizer\n", | |
"do = VelocityOptimizer(seq.parameters(), cometric=get_laplace_cometric(group, s=2), lr=.1, weight_decay=1e-2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 46, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"'2.33e-02'" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"for i in tqdm.notebook.tqdm(range(2**8)):\n", | |
" do.zero_grad()\n", | |
" I_ = seq(I0)\n", | |
" loss = mse(I_, I1)\n", | |
" ldf_losses.append(loss.detach().numpy())\n", | |
" if not i % 2**3:\n", | |
" tqdm.notebook.display('{:.2e}'.format(loss), clear=True)\n", | |
" loss.backward()\n", | |
" do.step()\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 47, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Curve [x] (y)" | |
] | |
}, | |
"execution_count": 47, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"plot_loss(ldf_losses)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Integrate the diffeo from the small deformation in each layer." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 48, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"application/vnd.jupyter.widget-view+json": { | |
"model_id": "0fdebb7486dd4b14a3c942f0e24a5d83", | |
"version_major": 2, | |
"version_minor": 0 | |
}, | |
"text/plain": [ | |
" 0%| | 0/16 [00:00<?, ?it/s]" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"CPU times: user 96.8 ms, sys: 9.22 ms, total: 106 ms\n", | |
"Wall time: 47.7 ms\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"integ = group.identity()\n", | |
"for p in tqdm.notebook.tqdm(seq.parameters(), total=DEPTH):\n", | |
" integ = integ.compose(p.base.deformation)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 49, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"CPU times: user 1.07 s, sys: 43.8 ms, total: 1.12 s\n", | |
"Wall time: 1.05 s\n" | |
] | |
} | |
], | |
"source": [ | |
"%%time\n", | |
"frep = FunctionRepresentation(group, requires_grad=False)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 50, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"frep.perturbation.base.deformation = integ" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 51, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"I__ = frep(I0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 52, | |
"metadata": { | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
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' style='max-width:100%; margin: auto; display: block; '/>" | |
], | |
"text/plain": [ | |
":Layout\n", | |
" .Image.I :Image [x,y] (z)\n", | |
" .Overlay.I :Overlay\n", | |
" .Image.I :Image [x,y] (z)\n", | |
" .Points.I :Points [x,y]\n", | |
" .Points.II :Points [x,y]\n", | |
" .Image.II :Image [x,y] (z)" | |
] | |
}, | |
"execution_count": 52, | |
"metadata": { | |
"application/vnd.holoviews_exec.v0+json": {} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"plot_all(I0, I__, I1, integ.backward)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.12.6" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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