{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Suporting code \n", "\n", "This little demo, used for the presentation \n", "```\n", "L. Jacques, \"The importance of phase in complex compressive sensing\"\n", "AI for Signal and Image Processing, (virtual) Paris-Saclay, September 10th, 2021\n", "```\n", "mplements the algorithm proposed in: \n", "```\n", "Oppenheim, Alan V., and Jae S. Lim. \"The importance of phase in signals.\" Proceedings of the IEEE 69.5 (1981): 529-541.\n", "```\n", "to recover an image $f$ from it spectral phases $\\mathcal F[f]/|\\mathcal F[f]|$. \n", "\n", "The algorithm is an alternate projection onto convex sets (POCS) and the two convex sets are: \n", "* the set of images defined on the support of $\\Omega$ of $f$, restricted to $\\tilde \\Omega \\supset \\Omega$, for instance $\\tilde \\Omega$ is two times bigger than $\\Omega$ in every direction; \n", "* the set of images whose spectral phase match the one of $f$.\n", "\n", "Dependence(s):\n", "* SciPy\n", "\n", "Last update: 9/9/2021" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy import interpolate\n", "from scipy.sparse.linalg import LinearOperator\n", "from scipy.fftpack import fft2, ifft2\n", "\n", "\n", "#import scikit.image.data.load\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as mcolors\n", "import matplotlib.cm as cm\n", "\n", "#from scipy.sparse.linalg import LinearOperator\n", "#from scipy.sparse import spdiags\n", "import spgl1\n", "\n", "# Initialize random number generators\n", "np.random.seed(43273289)\n", "#%matplotlib inline\n", "\n", "# Directory for saving images\n", "img_dir = './'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's load and display an image." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skimage import data, io, filters\n", "\n", "image = np.double(io.imread('./clown.png',as_gray=True))\n", "nx, ny = image.shape\n", "plt.imshow(image, cmap='gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's extend it, from $\\Omega$ to $\\tilde \\Omega$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "[ny, nx] = image.shape\n", "x = np.pad(image,[(140,140), (167,167)], mode='constant')\n", "plt.imshow(x, cmap='gray')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define some operators" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# numerical error constant: 10*np.finfo(np.float32).eps\n", "epsilon = 100*np.finfo(np.float32).eps \n", "\n", "# complex sign operator, keep the \"phasor\"\n", "signc = lambda x: x / (np.absolute(x) + (x == 0)*epsilon) \n", "\n", "# First the mask of where is the image\n", "Omega = np.pad(np.ones(image.shape),[(140,140), (167,167)], mode='constant') == 1\n", "# Note: \\tilde\\Omega is actually the full domain after padding\n", "\n", "# Second, a projector on image supported on Omega\n", "def proj_supp(im, omg):\n", " return im*omg\n", "\n", "# Third, projection on images having the same spectral phase than z\n", "# Projector on the set of images whose spectral phase matches the one of \"z\" \n", "def proj_consist(im, z):\n", " return ifft2(np.abs(fft2(im))*z) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run the algorithm" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Break at iteration 99, relative error: 0.000705762308090408, snr: 19.571831473954116\n" ] } ], "source": [ "# the observations\n", "z0 = signc(fft2(x))\n", "\n", "# the algorithm\n", "#xk = np.random.randn(x.shape[0],x.shape[1])\n", "x_init = np.ones(x.shape)\n", "\n", "xk = x_init\n", "nb_iter = 100\n", "for k in range(nb_iter):\n", " oxk = xk\n", " xk = proj_supp(xk, Omega)\n", " xk = proj_consist(xk, z0) \n", " rel_err = np.linalg.norm(oxk-xk)/np.linalg.norm(oxk)\n", " if rel_err < 1e-5:\n", " break\n", "\n", "rec_im = np.real(xk[Omega]).reshape(ny,nx) \n", "snr_im = 20*np.log10(1/np.linalg.norm((image/np.linalg.norm(image)) - (rec_im/np.linalg.norm(rec_im))))\n", "print(f\"Break at iteration {k}, relative error: {rel_err}, snr: {snr_im}\")\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Showing the result" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rec_im = np.real(xk[Omega]).reshape(ny,nx) \n", "plt.imshow(rec_im, cmap='gray', vmin = rec_im.min(), vmax=rec_im.max())\n", "plt.axis('off')\n", "plt.savefig(img_dir + f\"rec_img_iter{k}.pdf\", bbox_inches='tight', transparent=True, pad_inches=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A more systematic analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now study the success of the recovery in function of the oversampling ratio, that is, the ration between the true number of phase-only measurements we made about the image (that is the number of samples in the FT of the zero padded image) and the number of pixels of the original image.\n", "\n", "Note: This part can take some time to run ... ☕☕☕" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running padding #0, Oversampling: 1.0, ...\n", "... -> SNR: 2.9865752565077153 dB\n", "Running padding #1, Oversampling: 1.1504509068801296, ...\n", "... -> SNR: 6.102767307080965 dB\n", "Running padding #2, Oversampling: 1.3196879116425169, ...\n", "... -> SNR: 8.139033366061344 dB\n", "Running padding #3, Oversampling: 1.5143783564697537, ...\n", "... -> SNR: 9.272550335469328 dB\n", "Running padding #4, Oversampling: 1.7393251595906374, ...\n", "... -> SNR: 11.31746830386713 dB\n", "Running padding #5, Oversampling: 2.008126456581214, ...\n", "... -> SNR: 20.94194134037883 dB\n", "Running padding #6, Oversampling: 2.3047725200121594, ...\n", "... -> SNR: 29.339205502247662 dB\n", "Running padding #7, Oversampling: 2.6426588306819334, ...\n", "... -> SNR: 34.04335503524952 dB\n", "Running padding #8, Oversampling: 3.035728037288479, ...\n", "... -> SNR: 37.47332724715335 dB\n", "Running padding #9, Oversampling: 3.479927044280069, ...\n", "... -> SNR: 39.84600520762979 dB\n", "Running padding #10, Oversampling: 4.005633802816901, ...\n", "... -> SNR: 41.44322815194716 dB\n", "Running padding #11, Oversampling: 4.595764515148445, ...\n", "... -> SNR: 41.85649687305914 dB\n", "Running padding #12, Oversampling: 5.268720235079542, ...\n", "... -> SNR: 42.21786338896304 dB\n", "Running padding #13, Oversampling: 6.0644442192724695, ...\n", "... -> SNR: 42.689754435191745 dB\n", "Running padding #14, Oversampling: 6.968872226162731, ...\n", "... -> SNR: 42.97147062418916 dB\n", "Running padding #15, Oversampling: 8.004154422940521, ...\n", "... -> SNR: 43.20990197237993 dB\n" ] } ], "source": [ "[ny, nx] = image.shape\n", "\n", "pow_seq = np.linspace(-1,0.5,16)\n", "ny_pad = np.round(ny*(2**pow_seq - 0.5))\n", "nx_pad = np.round(nx*(2**pow_seq - 0.5))\n", "ny_pad = ny_pad.astype(int).copy()\n", "nx_pad = nx_pad.astype(int).copy()\n", "nb_pad = nx_pad.size\n", "nb_pocs_iter = 1000\n", "snr_im = np.zeros(nb_pad)\n", " \n", "for s in range(nb_pad):\n", " print(f\"Running padding #{s}, Oversampling: {(nx+2*nx_pad[s])*(ny+2*ny_pad[s])/(nx*ny)}, ...\")\n", " # padding the image (the oversampling procedure)\n", " x = np.pad(image,[(ny_pad[s],ny_pad[s]), (nx_pad[s],nx_pad[s])], mode='constant')\n", " \n", " # setting the correspoinding mask\n", " Omega = np.pad(np.ones(image.shape),[(ny_pad[s],ny_pad[s]), (nx_pad[s],nx_pad[s])], mode='constant') == 1\n", "\n", " # the observations\n", " z0 = signc(fft2(x))\n", "\n", " # the algorithm\n", " x_init = np.ones(x.shape)\n", "\n", " xk = x_init\n", " for k in range(nb_pocs_iter):\n", " oxk = xk\n", " xk = proj_supp(xk, Omega)\n", " xk = proj_consist(xk, z0) \n", " rel_err = np.linalg.norm(oxk-xk)/np.linalg.norm(oxk)\n", " if rel_err < 1e-5:\n", " break\n", "\n", " rec_im = np.real(xk[Omega]).reshape(ny,nx) \n", " snr_im[s] = 20*np.log10(1/np.linalg.norm((image/np.linalg.norm(image)) - (rec_im/np.linalg.norm(rec_im))))\n", " \n", " print(f\"... -> SNR: {snr_im[s]} dB\")\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's compute an oversampling ration between the true number of measurements (due to the zero padding) and the initial image size\n", "ovs_ratio = (nx+2*nx_pad)*(ny+2*ny_pad)/(nx*ny)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 4))\n", "ax.plot(ovs_ratio, snr_im, 'o-')\n", "ax.set_xlabel('$(N_x N_y)\\,/ |\\Omega|$', fontsize=16)\n", "ax.set_xscale('log')\n", "ax.set_xticks([1, 2, 3, 4, 5, 6,7,8])\n", "ax.set_xticklabels([1, 2, 3, 4, 5, 6,7,8])\n", "ax.set_ylabel('Norm. SNR',fontsize=16)\n", "fig.savefig('OppRecIm_SNR_vs_ovsp.pdf', bbox_inches='tight', pad_inches=0, transparent=True)" ] } ], "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": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 4 }