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@jorisvandenbossche
Created November 22, 2024 22:54
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{
"cells": [
{
"cell_type": "markdown",
"id": "660390c5-b6ac-45b1-ae2a-e21434fb2427",
"metadata": {},
"source": [
"# Plotting with spherely"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "978cfb0f-8e5e-4900-a547-6feb7f6a1c94",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running cmake --build & --install in /home/joris/scipy/repos/spherely/build/skbuild2\n"
]
}
],
"source": [
"import geodatasets\n",
"import geopandas\n",
"import pyarrow as pa\n",
"import shapely\n",
"import spherely\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from shapely.plotting import plot_line, plot_polygon, plot_points"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c8a51142-a664-4541-8eb2-365a9543dcb2",
"metadata": {},
"outputs": [],
"source": [
"land = geopandas.read_file(geodatasets.get_path(\"naturalearth.land\"))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e4d68714-0143-4c09-8498-a17d62f9d17f",
"metadata": {},
"outputs": [],
"source": [
"line = shapely.LineString([(2.3514, 48.8575), (-74.0060, 40.7128)])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "a07dff25-e776-4196-821f-b6529acec95b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"land.plot(ax=ax)\n",
"plot_line(line, color=\"C2\");"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "f5962fd7-1909-44fa-af0f-03f3f03914b6",
"metadata": {},
"outputs": [],
"source": [
"import pyarrow as pa\n",
"import geoarrow.pyarrow as ga\n",
"\n",
"def reproject_to_shapely(geog, projection=spherely.Projection.lnglat(), planar=True, tessellate_tolerance: float = 100.0):\n",
" if isinstance(geog, spherely.Geography):\n",
" wkb_arrow = spherely.to_geoarrow(\n",
" np.array([geog]), output_schema=ga.wkb(), projection=projection, \n",
" planar=planar, tessellate_tolerance=tessellate_tolerance\n",
" )\n",
" wkb = pa.array(wkb_arrow)[0].as_py()\n",
" else:\n",
" wkb_arrow = spherely.to_geoarrow(\n",
" geog, output_schema=ga.wkb(), projection=projection,\n",
" planar=planar, tessellate_tolerance=tessellate_tolerance\n",
" )\n",
" wkb = np.array(pa.array(wkb_arrow))\n",
" return shapely.from_wkb(wkb)"
]
},
{
"cell_type": "markdown",
"id": "b83a5163-38ca-44f3-bda0-5d1b8cd7d205",
"metadata": {},
"source": [
"## With Mercator projection"
]
},
{
"cell_type": "markdown",
"id": "52830b8c-a86c-4814-9e6d-a23ac6f33ddc",
"metadata": {},
"source": [
"Reproject land:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "4d49d677-e3a8-45c3-9276-0cf7949d8727",
"metadata": {},
"outputs": [],
"source": [
"# remove antarctica \n",
"land_geom = land.drop(index=[7]).geometry"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "8102218c-a1d2-466e-9540-5a35a2d869f5",
"metadata": {},
"outputs": [],
"source": [
"land_wkb = shapely.to_wkb(shapely.set_precision(shapely.remove_repeated_points(land_geom.array), 0.0001))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "cfb440ce-6db2-4c2b-9ba0-bb2d2dc08506",
"metadata": {},
"outputs": [],
"source": [
"land_geog = spherely.from_geoarrow(pa.array(land_wkb), geometry_encoding=\"WKB\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b3a4894d-5a0c-4dc9-989d-f4d7dc41611d",
"metadata": {},
"outputs": [],
"source": [
"land_geog_shapely = reproject_to_shapely(land_geog, projection=spherely.Projection.pseudo_mercator())"
]
},
{
"cell_type": "markdown",
"id": "66010e3a-b60e-4ba0-801a-ec226ceb5507",
"metadata": {},
"source": [
"Reproject planar and spherical line:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "f4d6cbc6-7267-4688-96e3-f8617d312cb4",
"metadata": {},
"outputs": [],
"source": [
"line_geog = spherely.from_wkt(line.wkt)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "792d1a74-15b1-4553-930c-e53b829e8fc2",
"metadata": {},
"outputs": [],
"source": [
"line_geog_shapely = reproject_to_shapely(line_geog, projection=spherely.Projection.pseudo_mercator())"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "4f15f8b7-3cd4-4ac8-b7aa-7bfd091c8504",
"metadata": {},
"outputs": [],
"source": [
"line_3857 = geopandas.GeoSeries(line, crs=4326).to_crs(3857).item()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "9cefd556-df70-499b-a36b-3e1dbb644756",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from shapely.plotting import plot_line, plot_polygon\n",
"\n",
"fig, ax = plt.subplots()\n",
"for geom in land_geog_shapely:\n",
" plot_polygon(geom, ax=ax, add_points=False, facecolor=\"none\", edgecolor=\"k\")\n",
"plot_line(line_3857, ax=ax)\n",
"plot_line(line_geog_shapely, ax=ax, add_points=False, color=\"C2\")\n",
"ax.set_aspect(\"equal\")\n",
"ax.set_ylim(-10e6, 20037508)\n",
"# Turn off tick labels\n",
"ax.set_yticklabels([]); ax.set_xticklabels([])\n",
"ax.set_xticks([]); ax.set_yticks([]);"
]
},
{
"cell_type": "markdown",
"id": "c8e67e0d-b397-4db1-bb76-767c69ebec7c",
"metadata": {},
"source": [
"## Plotting with orthographic projection"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d77fda48-b94b-42aa-a636-5981048ec0ff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'POINT (-35.8273 44.78515)'"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"shapely.centroid(line).wkt"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "4b515985-33f7-4f86-8ee2-6519fcc483d3",
"metadata": {},
"outputs": [],
"source": [
"center = -35.8273, 44.78515"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "a0f982b1-30b3-4096-b4a7-d18745df5c3f",
"metadata": {},
"outputs": [],
"source": [
"land = geopandas.read_file(geodatasets.get_path(\"naturalearth.land\"))\n",
"land_wkb = shapely.to_wkb(shapely.set_precision(shapely.remove_repeated_points(land.geometry.array), 0.0001))\n",
"land_geog = spherely.from_geoarrow(pa.array(land_wkb), geometry_encoding=\"WKB\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "6e46c37b-1378-4b9d-9422-fc65c9284392",
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"\n",
"def hemisphere_bounds_polygon(lon, lat):\n",
" radius_rad = (math.pi / 2) - 1e-5\n",
" rad_proj = math.sin(radius_rad)\n",
" points = shapely.points([0, rad_proj, 0, -rad_proj, 0], [rad_proj, 0, -rad_proj, 0, rad_proj])\n",
" points_s2 = spherely.from_geoarrow(ga.array(shapely.to_wkb(points)), projection=spherely.Projection.orthographic(lon, lat))\n",
" return spherely.polygon(points_s2)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "3aac2282-43c1-421f-94f9-f552d57132dc",
"metadata": {},
"outputs": [],
"source": [
"hemi = hemisphere_bounds_polygon(*center)"
]
},
{
"cell_type": "markdown",
"id": "ec1fcc1c-65e8-4a61-b9a9-b6006b5ce04a",
"metadata": {},
"source": [
"Limit the land polygons to the visible hemisphere (otherwise the projection will error, and the plot would get messy):"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "d1a384da-b99a-4617-b927-fa155c2abb12",
"metadata": {},
"outputs": [],
"source": [
"land_geog_hemi = spherely.intersection(land_geog, hemi)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "b59a4feb-d159-4161-8096-58ad81b1584d",
"metadata": {},
"outputs": [],
"source": [
"# TODO need to add is_empty function\n",
"land_geog_hemi = land_geog_hemi[spherely.to_wkt(land_geog_hemi) != 'GEOMETRYCOLLECTION EMPTY']"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "c3dc4e1e-960c-4df7-a470-437c32257576",
"metadata": {},
"outputs": [],
"source": [
"land_geog_shapely = reproject_to_shapely(land_geog_hemi, projection=spherely.Projection.orthographic(*center), tessellate_tolerance=10000)"
]
},
{
"cell_type": "markdown",
"id": "350ee05f-f691-4984-b309-7878245779b7",
"metadata": {},
"source": [
"Reproject planar and spherical line:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "f03eb103-e32d-4054-8d70-2ba50b114f79",
"metadata": {},
"outputs": [],
"source": [
"line_geog = spherely.from_wkt(line.wkt)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "a461ae53-cfb5-4ce1-9d4e-f13adb3ae294",
"metadata": {},
"outputs": [],
"source": [
"line_geog_shapely = reproject_to_shapely(line_geog, projection=spherely.Projection.orthographic(*center))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "82f77b46-df59-450d-ae07-e5a5cc5abc99",
"metadata": {},
"outputs": [],
"source": [
"line_geog_planar = spherely.from_wkt(line.wkt, planar=True)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "3cf567b7-c28e-4c68-89d7-85809ee0e2cd",
"metadata": {},
"outputs": [],
"source": [
"line_geog_planar_shapely = reproject_to_shapely(line_geog_planar, projection=spherely.Projection.orthographic(*center))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "a531fea9-7849-4482-9459-cb4d844cbb8b",
"metadata": {},
"outputs": [],
"source": [
"hemi_shapely = reproject_to_shapely(hemi, projection=spherely.Projection.orthographic(*center), tessellate_tolerance=10000)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "c1a15e64-c6f4-47ed-abe7-88f96cdee633",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from shapely.plotting import plot_line, plot_polygon, plot_points\n",
"\n",
"fig, ax = plt.subplots()\n",
"for geom in land_geog_shapely:\n",
" plot_polygon(geom, ax=ax, add_points=False, facecolor=\"none\", edgecolor=\"k\")\n",
"plot_polygon(hemi_shapely, ax=ax, add_points=False, facecolor=\"none\", edgecolor=\"k\")\n",
"plot_line(line_geog_planar_shapely, add_points=False, ax=ax)\n",
"plot_line(line_geog_shapely, ax=ax, add_points=False, color=\"C2\")\n",
"plot_points(shapely.get_point(line_geog_shapely, 0), ax=ax, color=\"C0\")\n",
"plot_points(shapely.get_point(line_geog_shapely, shapely.get_num_points(line_geog_shapely)-1), ax=ax, color=\"C0\")\n",
"ax.set_aspect(\"equal\")\n",
"ax.axis('off');"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (spherely-dev)",
"language": "python",
"name": "spherely-dev"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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