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November 28, 2018 13:16
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FFT study
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# DEMO abount FFT conv" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 48, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from PIL import Image, ImageDraw\n", | |
"import requests" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 51, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"url = 'https://i.chzbgr.com/full/5536320768/h88BAB406/'\n", | |
"image = Image.open(requests.get(url, stream=True).raw)\n", | |
"image = np.array(face_raw).astype(np.uint8)/255\n", | |
"image = image.transpose(2, 0, 1)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"In here we will get how does the convolution works via FFT transformations. This is the image we will be working with" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Some resources I found usefull to prepare this demo\n", | |
"\n", | |
"* http://www.dspguide.com/CH24.PDF gives basic intuition behind\n", | |
"* https://arxiv.org/abs/1412.7580 a performance study\n", | |
"* about FFT https://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/positive-definite-matrices-and-applications/complex-matrices-fast-fourier-transform-fft/MIT18_06SCF11_Ses3.2sum.pdf\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## The core math behind\n", | |
"\n", | |
"As I learned from the book (chapter 24 above), discrete fuirier transform for image is computed first row wise, then column wise with the following transformation matrix\n", | |
"\n", | |
"$$\n", | |
"F = \\frac{1}{\\sqrt{N}}\\begin{bmatrix}\n", | |
"1 & w^1 & w^2 &\\dots w^{n-1}\\\\\n", | |
"1 & w^2 & w^{2\\cdot2} &\\dots w^{2 \\cdot (n-1)}\\\\\n", | |
"\\vdots & \\vdots & & \\vdots\\\\\n", | |
"1 & w^{n-1} & w^{2\\cdot(n-1)} &\\dots w^{(n-1)\\cdot(n-1)}\\\\\n", | |
"\\end{bmatrix}\\quad w=e^{i\\pi/N}\n", | |
"$$\n", | |
"This forms basis in time frequence domain\n", | |
"\n", | |
"One can show that $F^*F=I$ what prooves this matrix is unitary.\n", | |
"\n", | |
"The key feature of Fourier tranformation is that convolution operation in spatial domain is just multiplicatoin in time-frequency domain. \n", | |
"$$\n", | |
"F( X \\star K) = F(K)\\cdot F(X)\n", | |
"$$\n", | |
"So what we do to efficiently convolve an image $X$ with a given filter $K$ is\n", | |
"$$\n", | |
"X\\star K = F^* (F(K)\\odot F(X))\n", | |
"$$\n", | |
"Let's see it in more detail\n", | |
"\n", | |
"## Key Questions\n", | |
"\n", | |
"* How do we get $F(X)$?\n", | |
"* How do we get $F(K)$, kernel size is much smaller than the size of X? " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### $F(X)$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"As I mentioned above we first do fft row by row and then columnwise. Let's verify the claim" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 52, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7f0676f28f28>" | |
] | |
}, | |
"execution_count": 52, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(image.transpose(1, 2, 0))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_image = np.fft.fft2(image)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 71, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_row_image = np.fft.fft(image, axis=-1)\n", | |
"fft_row_col_image = np.fft.fft(fft_row_image, axis=-2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 72, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"((3, 385, 498), (3, 385, 498))" | |
] | |
}, | |
"execution_count": 72, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fft_image.shape, fft_row_col_image.shape" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"**Note that FFT is done channel by channel independenly**,\n", | |
"`np.fft.fftn` will perform FFT for n dimensions in the same manner" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 73, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 73, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.allclose(fft_image, fft_row_col_image)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Gotcha! We managed to transform an image essentially via 2 matmul operations" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### $F(K)$\n", | |
"\n", | |
"To perform $X\\star K = F^* (F(K)\\cdot F(X))$ we need $F(K)$ to be the same size as $F(X)$ (or fow do we do this elementwise multiplication?)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Here is one of the most used filters: \"Shift and subtract\" filter" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 74, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"filt = np.array([\n", | |
" [0, 0, 0],\n", | |
" [0, 1, 0],\n", | |
" [0, 0, -1],\n", | |
"]) * np.ones((3, 1, 1))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 75, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_filt = np.fft.fft2(filt)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 76, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(3, 3, 3)" | |
] | |
}, | |
"execution_count": 76, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fft_filt.shape" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Something went wrong, we can't apply this for elementwise mult, what to do?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 77, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"correct_fft_filt = np.fft.fft2(filt, s=(385, 498))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 78, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 78, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"correct_fft_filt.shape == fft_image.shape" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"That's gonna be fine, let's check how it works" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 79, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"conved = np.fft.ifft2(correct_fft_filt * fft_image)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 80, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"8.068640115518381e-14" | |
] | |
}, | |
"execution_count": 80, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.linalg.norm(conved.imag)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 84, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7f0676e4c9b0>" | |
] | |
}, | |
"execution_count": 84, | |
"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.imshow(np.clip((conved.real.transpose(1, 2, 0)+.5)/2, 0, 1))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"How do we get this filter? What magic happens in `np.fft.fft2(filt, s=(385, 498))`?\n", | |
"\n", | |
"Answer: no magic. To get the fft for filter we right pad it with zeros and apply regular fft" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 85, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"manual_fft_filter = np.fft.fft2(np.pad(filt, ((0, 0), (0, 385-3),(0, 498-3)), 'constant'))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 89, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 89, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"manual_fft_filter.shape == correct_fft_filt.shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 90, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 90, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.allclose(manual_fft_filter, correct_fft_filt)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Gotcha, we now know, what is going under the hood" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Insights" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"If we want convolution to be orthogonal, we should require $F(K)=\\bar{F(K)}$ , that is not always the case.. Even if we have unitary $K$ s.t. $K^*K=I$ we do not expect $F(K)=F(K)^*$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 101, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"Q, R = np.linalg.qr(np.random.randn(3, 3))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 102, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 102, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.allclose(Q.T @ Q, np.eye(3))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 103, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_Q = np.fft.fft2(Q, (32, 32))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 104, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"False" | |
] | |
}, | |
"execution_count": 104, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.allclose(fft_Q, fft_Q.conj())" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Same holds for the inverse. $F(K)=\\bar{F(K)}$ does not imply $K^*K=I$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 106, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_K = np.random.randn(32, 32) + np.random.randn(32, 32) * 1j" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 109, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(32, 32)" | |
] | |
}, | |
"execution_count": 109, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fft_K.shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 111, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_K /= np.sqrt(fft_K * fft_K.conj())" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 113, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[-0.75066353-0.66068469j, -0.77551973-0.63132333j,\n", | |
" -0.97030458+0.24188637j, ..., 0.06937598-0.99759058j,\n", | |
" -0.30802951+0.9513768j , 0.61503117+0.7885028j ],\n", | |
" [ 0.99867759-0.05141079j, 0.71768179-0.6963712j ,\n", | |
" 0.37154274-0.92841585j, ..., 0.92058507-0.39054209j,\n", | |
" -0.13098639+0.99138417j, 0.87258056-0.48847023j],\n", | |
" [-0.83296529+0.55332525j, 0.91870485+0.3949448j ,\n", | |
" -0.92382279+0.38282039j, ..., -0.20750243+0.9782345j ,\n", | |
" 0.93021173-0.36702335j, -0.27300987-0.96201123j],\n", | |
" ...,\n", | |
" [-0.79257922-0.60976896j, -0.9996037 -0.02815033j,\n", | |
" -0.85721783-0.51495398j, ..., 0.9131422 -0.40764116j,\n", | |
" 0.68835373+0.72537517j, -0.99600309+0.08931878j],\n", | |
" [ 0.95427662-0.29892495j, -0.05447741+0.998515j ,\n", | |
" 0.85068505-0.52567571j, ..., -0.99927788+0.03799622j,\n", | |
" -0.33263547-0.94305548j, 0.88580605-0.46405565j],\n", | |
" [-0.61977728+0.78477776j, -0.94284266+0.33323823j,\n", | |
" 0.87265044-0.48834538j, ..., 0.69614952+0.71789682j,\n", | |
" 0.94188799+0.33592711j, -0.97965662+0.20068109j]])" | |
] | |
}, | |
"execution_count": 113, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fft_K" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 114, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"True" | |
] | |
}, | |
"execution_count": 114, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.allclose(fft_K * fft_K.conj(), np.ones_like(fft_K))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 115, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"Kj = np.fft.ifft2(fft_K)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 116, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[-0.03931602+0.00547544j, -0.04213761+0.00280036j,\n", | |
" -0.00236581-0.00196271j, ..., -0.01062315+0.03180063j,\n", | |
" 0.03304191+0.004933j , -0.00938919+0.01646966j],\n", | |
" [ 0.02215811-0.00688618j, 0.00395781-0.01039932j,\n", | |
" 0.01860064+0.0006978j , ..., 0.01829065+0.00982656j,\n", | |
" -0.01182947+0.02265183j, 0.0327496 -0.00662561j],\n", | |
" [-0.02099375+0.00191418j, -0.01899204+0.02730373j,\n", | |
" 0.01284675-0.02669123j, ..., -0.04791149-0.0196713j ,\n", | |
" -0.00162255+0.02115566j, -0.01830665-0.02636613j],\n", | |
" ...,\n", | |
" [ 0.02033059-0.00382771j, 0.00023892-0.02999214j,\n", | |
" 0.01577057-0.05110227j, ..., 0.04411097-0.01518981j,\n", | |
" 0.00808287-0.00163392j, 0.00027262+0.00097367j],\n", | |
" [-0.00460259+0.00562749j, 0.02653024+0.00358324j,\n", | |
" -0.02123331+0.01923844j, ..., -0.01340232+0.03064815j,\n", | |
" -0.00288226-0.0029399j , 0.02729195-0.01374647j],\n", | |
" [ 0.01462054-0.02053936j, -0.03015018+0.02018559j,\n", | |
" 0.02747275+0.01082975j, ..., 0.03225731+0.00030867j,\n", | |
" -0.02841764+0.02627983j, 0.00035272-0.02331426j]])" | |
] | |
}, | |
"execution_count": 116, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"Kj" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We even have some complex numbers here, that's bad" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### BTW, what does this kernel do?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 117, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fft_K = np.random.randn(*fft_image.shape) + np.random.randn(*fft_image.shape) * 1j\n", | |
"fft_K /= np.sqrt(fft_K * fft_K.conj())" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 118, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"conved2 = np.fft.ifft2(fft_K * fft_image)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 120, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[ 0.01684179+0.68249987j, 0.03275204+0.67154415j,\n", | |
" -0.09737737+0.78231277j, ..., -0.22265157+0.89163246j,\n", | |
" -0.04664221+0.78798394j, -0.05654847+0.69403072j],\n", | |
" [ 0.04070914+0.69845769j, 0.01104082+0.75906242j,\n", | |
" -0.08817025+0.79335579j, ..., -0.16858511+0.85180085j,\n", | |
" -0.00080067+0.75500206j, 0.03389154+0.75934475j],\n", | |
" [-0.00325819+0.59635923j, -0.07241331+0.66496261j,\n", | |
" -0.02892112+0.75506168j, ..., -0.21648589+0.67955405j,\n", | |
" -0.07028945+0.58488834j, 0.03116057+0.60691837j],\n", | |
" ...,\n", | |
" [-0.44934848+1.08708904j, -0.48053345+1.13372793j,\n", | |
" -0.51559852+1.0873311j , ..., -0.42668578+1.00199732j,\n", | |
" -0.35534603+1.01277313j, -0.45115114+1.02138703j],\n", | |
" [-0.28881032+0.93813241j, -0.29330488+1.0010145j ,\n", | |
" -0.36040218+0.99799414j, ..., -0.37206313+0.9258706j ,\n", | |
" -0.31268591+0.93363437j, -0.3910858 +0.91878904j],\n", | |
" [-0.12108757+0.72047079j, -0.05062463+0.73220891j,\n", | |
" -0.15002905+0.78799815j, ..., -0.34793024+0.88976594j,\n", | |
" -0.19400915+0.80142244j, -0.22927875+0.73080912j]])" | |
] | |
}, | |
"execution_count": 120, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"conved2[0]" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The pitfall is that this image is now complex valued, what is expected behaviour" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 124, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"-1.6810100523777043" | |
] | |
}, | |
"execution_count": 124, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"conved2.real.transpose(1, 2, 0).min()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 125, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.579999031966517" | |
] | |
}, | |
"execution_count": 125, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"conved2.real.transpose(1, 2, 0).max()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 127, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7f0676bfb240>" | |
] | |
}, | |
"execution_count": 127, | |
"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.imshow(np.clip(conved2.real.transpose(1, 2, 0), 0, 1))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The convoluton does nonsence now. Unfortunately we can't reexpress this transform as a real valued convolution. It is also unclear how to create such a convolution that is both real valued and orthogonal in time-frequency domain" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 131, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"image_after_inv_fft_K = np.fft.ifft2(fft_K.conj() * np.fft.fft2(conved2))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 134, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7f0676bd6710>" | |
] | |
}, | |
"execution_count": 134, | |
"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.imshow(np.clip(image_after_inv_fft_K.real.transpose(1, 2, 0), 0, 1))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"However we can create such a convolution, it is easy" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 129, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"iK = np.ones((3, 1, 1))\n", | |
"fft_iK = np.fft.fft2(iK, fft_image.shape[1:])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 130, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[[1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" ...,\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j]],\n", | |
"\n", | |
" [[1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" ...,\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j]],\n", | |
"\n", | |
" [[1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" ...,\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j],\n", | |
" [1.+0.j, 1.+0.j, 1.+0.j, ..., 1.+0.j, 1.+0.j, 1.+0.j]]])" | |
] | |
}, | |
"execution_count": 130, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fft_iK" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This is very trivial, just identity transform." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Does such a transform ever exist??\n", | |
"\n", | |
"$$\n", | |
"K = \\begin{bmatrix}\n", | |
"a & b & c\\\\\n", | |
"d & e & f\\\\\n", | |
"g& h& i\n", | |
"\\end{bmatrix}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"A_K = \\begin{bmatrix}\n", | |
"a& b& c&\\dots &0 & d & e& f& 0& \\dots &0& g& h& i& 0& \\dots&&\\\\\n", | |
"0& a& b& c&\\dots &0 & d & e& f& 0& \\dots &0& g& h& i& 0& \\dots&\\\\\n", | |
"0&0&a& b& c&\\dots &0 & d & e& f& 0& \\dots &0& g& h& i& 0& \\dots\\\\\n", | |
"\\vdots&&&& && & & & & & && & & & & \\\\\n", | |
"\\end{bmatrix}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"What about its orthogonality?" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"we have interesing scalar products for rows.\n", | |
"\n", | |
"$$\n", | |
"({A_{K}}_{1},{A_{K}}_{1}) = ba+cb+ed+fe+hg+ih\n", | |
"$$\n", | |
"That is exactly the overlap when we move filer one step right. If we now think about orthogonality constraints, they imply\n", | |
"\n", | |
"$$\n", | |
"\\|K\\|_{F}=1\n", | |
"$$\n", | |
"and all overlaps have zero scalar product\n", | |
"\n", | |
"$$\n", | |
"(K, K_{+i,+j}) =0\n", | |
"$$\n", | |
"\n", | |
"It can be shown that the only such filter looks like\n", | |
"\n", | |
"$$\n", | |
"K^\\star=\\begin{bmatrix}\n", | |
"0 & 0& 0\\\\\n", | |
"0& 1& 0&\\\\\n", | |
"0& 0& 0&\\\\\n", | |
"\\end{bmatrix}\n", | |
"$$\n", | |
"and invariant up to change of position for $1$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Conclusions? \n", | |
"\n", | |
"It seems not a good idea to find orthogonal convolution" | |
] | |
} | |
], | |
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