Created
July 29, 2020 14:07
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 43, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x11d26e790>" | |
] | |
}, | |
"execution_count": 43, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x216 with 3 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%matplotlib inline\n", | |
"\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"\n", | |
"f = np.zeros((100,100))\n", | |
"\n", | |
"f[45:55,30:40] = 15\n", | |
"f[55:75,50:60] = 25\n", | |
"f[25:40,45:55] = 10\n", | |
"\n", | |
"\n", | |
"f1 = f[:-20,:-20]\n", | |
"f2 = f[1:-19,1:-19]\n", | |
"f3 = f[15:-5,10:-10]\n", | |
"\n", | |
"fig, axs = plt.subplots(1, 3, figsize=(10, 3))\n", | |
"\n", | |
"axs[0].imshow(f1)\n", | |
"axs[1].imshow(f2)\n", | |
"axs[2].imshow(f3)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 44, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0.017938144817631722\n", | |
"0.008810615966286763\n", | |
"-0.00046541707477506855\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"H1 = np.fft.fftshift(np.fft.fft2(f1))\n", | |
"H2 = np.fft.fftshift(np.fft.fft2(f2))\n", | |
"H3 = np.fft.fftshift(np.fft.fft2(f3))\n", | |
"\n", | |
"H1 = np.fft.fft2(f1)\n", | |
"H2 = np.fft.fft2(f2)\n", | |
"H3 = np.fft.fft2(f3)\n", | |
"\n", | |
"plt.figure()\n", | |
"#plt.imshow(H1.real)\n", | |
"plt.imshow(np.arctan2(H1.imag, H1.real))\n", | |
"print(np.mean(np.arctan2(H1.imag, H1.real)))\n", | |
"plt.figure()\n", | |
"#plt.imshow(H2.real)\n", | |
"plt.imshow(np.arctan2(H2.imag, H2.real))\n", | |
"print(np.mean(np.arctan2(H2.imag, H2.real)))\n", | |
"plt.figure()\n", | |
"#plt.imshow(H3.real)\n", | |
"plt.imshow(np.arctan2(H3.imag, H3.real))\n", | |
"print(np.mean(np.arctan2(H3.imag, H3.real)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 45, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<BarContainer object of 3 artists>" | |
] | |
}, | |
"execution_count": 45, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Diff Freq domain\n", | |
"plt.bar(['1-1','2-1','3-1'],[np.mean(np.square(np.abs(H1)-np.abs(H1))),np.mean(np.square(np.abs(H1)-np.abs(H2))),np.mean(np.square(np.abs(H1)-np.abs(H3)))])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 46, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<BarContainer object of 3 artists>" | |
] | |
}, | |
"execution_count": 46, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Diff Phase domain\n", | |
"plt.bar(['1-1','2-1','3-1'],[np.mean(np.square(np.arctan2(H1.imag, H1.real)-np.arctan2(H1.imag, H1.real))),np.mean(np.square(np.arctan2(H1.imag, H1.real)-np.arctan2(H2.imag, H2.real))),np.mean(np.square(np.arctan2(H1.imag, H1.real)-np.arctan2(H3.imag, H3.real)))])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 68, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"complex128\n", | |
"complex128\n", | |
"True\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"18.027756377319946" | |
] | |
}, | |
"execution_count": 68, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"conj_b = np.ma.conjugate(H3)\n", | |
"\n", | |
"print(conj_b.dtype)\n", | |
"print(np.conj(H3).dtype)\n", | |
"print(np.all(np.conj(H3)==conj_b))\n", | |
"R = H1*np.ma.conjugate(H3)\n", | |
"R /= np.abs(R)\n", | |
"r = np.fft.ifft2(R).real\n", | |
"\n", | |
"#wkw = np.fft.ifft2((H1*np.conj(H3))/np.abs(H1*np.conj(H3)))\n", | |
"\n", | |
"plt.imshow(r)\n", | |
"\n", | |
"np.argmax(r)\n", | |
"np.sqrt(np.sum(np.square(np.unravel_index(r.argmax(), r.shape))))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.7.6" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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