Created
December 22, 2021 21:58
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SWI - Phase Mask Simulations Exploring Fitted Reciprocal Tetration
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "417b4949-bb1f-4394-bf71-dbc384cbf178", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import cv2\n", | |
"import matplotlib.pyplot as plt\n", | |
"from mpl_toolkits.axes_grid1 import make_axes_locatable" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "e30b3214-a74e-4a06-b2a2-3537aaeb3f27", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def image_show(image, nrows=1, ncols=1, cmap='gray', save=None):\n", | |
" fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(10, 10))\n", | |
" ax.imshow(image, cmap=cmap)\n", | |
" ax.axis('off')\n", | |
" if save is not None:\n", | |
" plt.savefig(fname=save)\n", | |
" return fig, ax" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "eac885c7-7307-4f5c-9913-c1839c4cd686", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def phase_mask(phase, exponent):\n", | |
" mask = phase.copy()\n", | |
" mask[phase <= 0] = 1\n", | |
" mask[phase > 0] = (np.pi - mask[phase > 0]) / np.pi\n", | |
" return mask ** exponent" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "a7c3501e-d791-4635-abb9-cfab92d225e4", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x1248a5fa0>]" | |
] | |
}, | |
"execution_count": 5, | |
"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": [ | |
"plt.plot(phase_mask(np.linspace(-np.pi, np.pi), 5))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "25f306f1-358f-4c1d-ad75-c7d7bddf45a0", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def phase_tetration_mask(phase):\n", | |
" mask = phase.copy()\n", | |
" mask[phase <= 0] = 1\n", | |
" mask[phase > 0] = (np.pi - mask[phase > 0]) / np.pi\n", | |
" # mask[mask != 0] = mask[mask != 0] ** (factor / mask[mask != 0])\n", | |
" return mask ** fit(phase / np.pi)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "ba7771c4-7f59-49b8-89c6-d4a7cf6d5196", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"data = np.array([[1, 1],\n", | |
" [0.8, 2],\n", | |
" [0.5, 4],\n", | |
" [0.3, 5.5],\n", | |
" [0.1, 12]])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "d43963ca-fc76-464d-95a8-1533ac3a28da", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x1249af730>]" | |
] | |
}, | |
"execution_count": 8, | |
"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": [ | |
"x = np.linspace(0, 1)\n", | |
"fit = lambda x: 11/(4 * (x - 0.1) + 1)\n", | |
"plt.plot(data[:, 0], data[:, 1])\n", | |
"plt.plot(x, fit(x))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "99110844-0d43-400c-b571-bc4c742f5118", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"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": [ | |
"colours = [\n", | |
" '#6699FF',\n", | |
" '#5F8EED',\n", | |
" '#5783DB',\n", | |
" '#5078C8',\n", | |
" '#496DB6',\n", | |
" '#4262A4',\n", | |
" '#3A5792',\n", | |
" '#334D7F'\n", | |
"]\n", | |
"\n", | |
"plt.plot(np.linspace(-1, 1), phase_mask(np.linspace(-np.pi, np.pi), 4), label='m=4', color=colours[2]) #'#7aabd4')\n", | |
"plt.plot(np.linspace(-1, 1), phase_mask(np.linspace(-np.pi, np.pi), 6), label='m=6', color=colours[4]) #'#3d84bf')\n", | |
"plt.plot(np.linspace(-1, 1), phase_mask(np.linspace(-np.pi, np.pi), 8), label='m=8', color=colours[6]) #'#295981')\n", | |
"\n", | |
"\n", | |
"\n", | |
"plt.plot(np.linspace(-1, 1), phase_tetration_mask(np.linspace(-np.pi, np.pi)), label='m~1/√∏', color='orange')\n", | |
"plt.xlabel('Normalized Phase ø (π rads)')\n", | |
"plt.ylabel('Final Phase Mask')\n", | |
"plt.title('Phase Mask Comparison')\n", | |
"plt.legend()\n", | |
"plt.savefig('Phase Mask Comparison.png')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "a64ff630-9018-407b-bbce-68b294df68de", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def visibility(phi, m, snr):\n", | |
" cnr = (1 - (1 - phi/np.pi) ** m) / np.sqrt(1 + (m/(2 * np.pi)) ** 2 + (1 - phi/np.pi) ** (2 * m) + (m/np.pi) ** 2 * (1 - phi/np.pi) ** (2 * m - 2))\n", | |
" return snr * 2 * np.sqrt(np.pi) * cnr" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "f9dbbe15-2167-41cf-88d2-04426eb852fb", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"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": [ | |
"m = np.linspace(0, 20)\n", | |
"phi = np.pi * np.arange(0.1, 1, 0.1)\n", | |
"cnr = visibility(phi=phi[:, np.newaxis], m=m, snr=15)\n", | |
"\n", | |
"for channel in cnr:\n", | |
" plt.plot(m, channel)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "1e508b92-56f0-4efb-a1a9-7b39b01c5f5d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"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": [ | |
"m = np.arange(10)\n", | |
"phi = np.pi * np.arange(0.1, 1, 0.1)\n", | |
"cnr = visibility(phi=phi[:, np.newaxis], m=m, snr=15)\n", | |
"\n", | |
"for channel in cnr.T:\n", | |
" plt.plot(phi, channel)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "bdd2b133-9521-4483-8ed6-8b75c259259c", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x576 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m = np.linspace(0, 20, 500)\n", | |
"phi = np.linspace(0, 1, 500, endpoint=False)\n", | |
"cnr = visibility(phi=phi[:, np.newaxis] * np.pi, m=m, snr=15)\n", | |
"\n", | |
"fig, ax = plt.subplots(figsize=(8, 8))\n", | |
"im = plt.imshow(cnr, origin='lower', aspect=\"auto\", extent=[m[0], m[-1], phi[0], phi[-1]])\n", | |
"plt.plot(data[:, 1], data[:, 0], color='firebrick', label='Peak CNR Points')\n", | |
"plt.plot(fit(x), x, color='red', label='Fitted Reciprocal')\n", | |
"plt.ylim(0, 1)\n", | |
"plt.xlabel('Exponent m')\n", | |
"plt.ylabel('Normalized Phase ø (π rads)')\n", | |
"plt.title('CNR Dependence on Phase and Exponent')\n", | |
"plt.legend()\n", | |
"\n", | |
"# create an axes on the right side of ax. The width of cax will be 5%\n", | |
"# of ax and the padding between cax and ax will be fixed at 0.05 inch.\n", | |
"divider = make_axes_locatable(ax)\n", | |
"cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", | |
"plt.colorbar(im, cax=cax, label='2√π CNR')\n", | |
"\n", | |
"plt.savefig('CNR Dependence on Phase and Exponent.png')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "d4a29cc4-2c7e-4ddb-b150-58020b668004", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "154401bb-503d-4d1a-ab99-ca4bc39eefe9", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"N = 512\n", | |
"sigpow = 1500\n", | |
"noisepow = 100\n", | |
"phase_shifts = np.pi * np.array([0.1, 0.3, 0.5, 0.8])\n", | |
"mag = np.zeros((N, N)) + sigpow\n", | |
"final_phase = np.zeros((N, N))\n", | |
"\n", | |
"for index, phase_shift in enumerate(phase_shifts):\n", | |
" offset = index * 100 + 100\n", | |
" \n", | |
" phase = np.zeros((N, N))\n", | |
" phase = cv2.circle(phase, (offset, 100), 3, (1, ) * 3, -1)\n", | |
" phase = cv2.circle(phase, (offset, 200), 6, (1, ) * 3, -1)\n", | |
" phase = cv2.circle(phase, (offset, 300), 12, (1, ) * 3, -1)\n", | |
" phase = cv2.circle(phase, (offset, 400), 24, (1, ) * 3, -1)\n", | |
" phase *= phase_shift\n", | |
" final_phase += phase\n", | |
" \n", | |
"signal = mag * np.exp(1j * final_phase)\n", | |
"signal += np.random.normal(scale=noisepow, size=(N, N)) + 1j * np.random.normal(scale=noisepow, size=(N, N))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "7ea95c26-51d4-4ed5-9786-ddb9fddd0df0", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { |
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