{ "cells": [ { "cell_type": "markdown", "id": "0a2fcf14-7acd-4964-b113-1a246b4836ed", "metadata": {}, "source": [ "# SCC0251: Processamento de Imagens\n", "\n", "##### Professora Leo Sampaio Ferraz Ribeiro\n", "------\n", "## Transformada de Fourier" ] }, { "cell_type": "code", "execution_count": 3, "id": "23cf3fb7-0ba1-4a49-ab36-04d4bed945b7", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import IPython.display as ipd\n", "import time" ] }, { "cell_type": "markdown", "id": "ab10242e-8e9f-4ad6-aaac-1ae1ae779a34", "metadata": {}, "source": [ "### Representações de Funções" ] }, { "cell_type": "code", "execution_count": 2, "id": "4267d8dd-3c84-420a-a144-6617edad80cc", "metadata": {}, "outputs": [], "source": [ "def f(x, a, b, c):\n", " return c + b*x + a*(x**2)" ] }, { "cell_type": "markdown", "id": "ff4d5150-6110-4963-8971-b482d84bbe45", "metadata": {}, "source": [ "Amostragem da função" ] }, { "cell_type": "code", "execution_count": 3, "id": "81bf04f2-fb82-4b27-8ee1-f192918e74df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([186, 149, 116, 87, 62, 41, 24, 11, 2, -3, -4, -1, 6,\n", " 17, 32, 51, 74, 101, 132, 167])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.arange(-10, 10)\n", "y = f(x, 2, 1, -4)\n", "y" ] }, { "cell_type": "code", "execution_count": 4, "id": "cc9679b3-8d71-4ef5-aa40-17880791a143", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y)" ] }, { "cell_type": "code", "execution_count": null, "id": "7dde18f6-ba2f-46d3-8b51-fa4f4539b0c8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "df10cba8-efd3-4876-af6c-2896a7fcd7d3", "metadata": {}, "source": [ "Construindo o sistema linear" ] }, { "cell_type": "code", "execution_count": 5, "id": "28e697ba-bf11-482b-9574-fdb458527d6e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.],\n", " [0., 0., 0.]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.zeros((20, 3))\n", "A" ] }, { "cell_type": "code", "execution_count": 6, "id": "8d593e24-4cea-43df-a30e-b6bfb494599a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[100., -10., 1.],\n", " [ 81., -9., 1.],\n", " [ 64., -8., 1.],\n", " [ 49., -7., 1.],\n", " [ 36., -6., 1.],\n", " [ 25., -5., 1.],\n", " [ 16., -4., 1.],\n", " [ 9., -3., 1.],\n", " [ 4., -2., 1.],\n", " [ 1., -1., 1.],\n", " [ 0., 0., 1.],\n", " [ 1., 1., 1.],\n", " [ 4., 2., 1.],\n", " [ 9., 3., 1.],\n", " [ 16., 4., 1.],\n", " [ 25., 5., 1.],\n", " [ 36., 6., 1.],\n", " [ 49., 7., 1.],\n", " [ 64., 8., 1.],\n", " [ 81., 9., 1.]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A[:, 0] = x**2\n", "A[:, 1] = x**1\n", "A[:, 2] = x**0\n", "A" ] }, { "cell_type": "code", "execution_count": 7, "id": "57e735d6-3491-4d30-9f79-ccb39b3726b0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([186, 149, 116, 87, 62, 41, 24, 11, 2, -3, -4, -1, 6,\n", " 17, 32, 51, 74, 101, 132, 167])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.transpose()" ] }, { "cell_type": "markdown", "id": "b736773e-d019-4a63-8156-ad205564003a", "metadata": {}, "source": [ "Resolvendo o sistema linear" ] }, { "cell_type": "code", "execution_count": 8, "id": "87c05b67-d507-45ff-ad48-9b04fe4a5932", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 5.69605833e-05, 5.69605833e-05, -1.87969925e-03],\n", " [ 5.69605833e-05, 1.56071998e-03, -1.12781955e-03],\n", " [-1.87969925e-03, -1.12781955e-03, 1.12406015e-01]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy.linalg as linalg\n", "\n", "c_1 = linalg.inv(A.transpose()@A)\n", "c_1" ] }, { "cell_type": "code", "execution_count": 9, "id": "6bd9cd40-9d6e-4ddb-aef0-ce447eb5dbc9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 2., 1., -4.])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C = c_1@(A.transpose()@y)\n", "C" ] }, { "cell_type": "markdown", "id": "11bbaa52-efb2-478f-8a56-1d1f926a679d", "metadata": {}, "source": [ "### Sinusoides e a Exponencial Complexa" ] }, { "cell_type": "markdown", "id": "61f5fccc-cd4e-4a0c-b4c0-f14d20b10dcf", "metadata": {}, "source": [ "Desejamos funções com a propriedade $f(t) = f(t + kT)$" ] }, { "cell_type": "markdown", "id": "2f71f201-efe5-4bdf-9b06-499b5a056d58", "metadata": {}, "source": [ "Podemos observar que senos e cosenos tem essa propriedade" ] }, { "cell_type": "code", "execution_count": 10, "id": "55e6fe23-2629-4f50-84ef-a7fbe1d810ce", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-5, 5, 0.2)\n", "np.sin(x)\n", "plt.scatter(x, np.sin(x+2*np.pi))\n", "plt.scatter(x, np.cos(x+2*np.pi))" ] }, { "cell_type": "markdown", "id": "788184f7-b55a-42c6-9701-ce28754dd32c", "metadata": {}, "source": [ "O objeto periódico mais simples: círculo" ] }, { "cell_type": "code", "execution_count": 11, "id": "245e1e75-38c4-4506-97e4-db81b9eafaef", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "circle = np.concatenate([np.sin(x)[:, None], np.cos(x)[:, None]], axis=1)\n", "plt.figure(figsize=(4, 4))\n", "plt.scatter(circle[:, 0], circle[:, 1])" ] }, { "cell_type": "code", "execution_count": 12, "id": "0a78de96-8e53-4276-bc50-132348bb4e37", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = np.sin(x) + np.cos(x) + 0.2*np.sin(2*x) + 0.2*np.cos(2*x) + 0.05*np.sin(10*x) + 0.05*np.cos(10*x)\n", "plt.scatter(x, a)" ] }, { "cell_type": "markdown", "id": "8be09346-341e-4d23-8e8b-cf71c3b2d6ce", "metadata": {}, "source": [ "Números complexos" ] }, { "cell_type": "code", "execution_count": 13, "id": "8f0bcf4b-00e4-48e0-9376-e6f9cf54be1a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b = 1 + 3j\n", "b.imag" ] }, { "cell_type": "markdown", "id": "e5c5a41d-7928-4446-8baa-86883826086a", "metadata": {}, "source": [ "Fórmula de Euler" ] }, { "cell_type": "code", "execution_count": 14, "id": "1d35b9d3-4cc0-492b-932c-a95c446ce16f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.9950041652780258+0.09983341664682815j)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.exp(0.1j) " ] }, { "cell_type": "markdown", "id": "ac6d231f-8773-4573-8cb0-a5756870007f", "metadata": {}, "source": [ "np.sin(0.1)" ] }, { "cell_type": "code", "execution_count": 15, "id": "12c0a187-af40-420d-944c-3be8a0427191", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9950041652780258" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sin(0.1)\n", "np.cos(0.1)" ] }, { "cell_type": "markdown", "id": "a6d94ef2-d9ab-4090-86c8-415bccec5241", "metadata": {}, "source": [ "### Fundamentos para Transformada de Fourier" ] }, { "cell_type": "markdown", "id": "1a808a3e-8398-48f9-acc4-c239c32f3ac3", "metadata": {}, "source": [ "Vamos observar diferentes sons/frequências e a soma delas" ] }, { "cell_type": "code", "execution_count": 31, "id": "e2b6d706-4395-484f-ab9e-0cf7c5758645", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c4 = 261.00\n", "d4 = 293.00\n", "e4 = 329.00\n", "f4 = 349.00\n", "g4 = 392.00\n", "a4 = 440.00\n", "b4 = 493.00\n", "\n", "def f(freq, rate=44100):\n", " x = np.arange(0, 1, 1/rate)\n", " y = np.cos(2*np.pi*x*freq)\n", " return y\n", "\n", "ipd.Audio(f(c4, rate=4000), rate=4000)" ] }, { "cell_type": "code", "execution_count": 17, "id": "9fffa0dc-9545-4e5e-bbfa-689b8d2b9dca", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(0, 1, 1/44100)\n", "plt.plot(x[:1000], f(c4)[:1000])" ] }, { "cell_type": "code", "execution_count": 18, "id": "0882ec84-be39-4521-9614-c6235ad831de", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(np.concatenate([f(e4), f(g4), f(d4), f(c4), f(d4), f(e4), f(g4), f(d4)]), rate=44100)" ] }, { "cell_type": "code", "execution_count": 40, "id": "5b94eeaf-2666-4cac-aedb-5a2aaf2ca09e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmajor = f(c4) + f(e4) + f(g4)\n", "plt.plot(x[:1000], cmajor[:1000])" ] }, { "cell_type": "markdown", "id": "9962f3d8-167c-489c-b13a-529b0d80169f", "metadata": {}, "source": [ "Gostaríamos de criar um mecanismo para extração de frequências a partir de uma onda que soma diversas frequências" ] }, { "cell_type": "code", "execution_count": 20, "id": "d58393b9-a19c-4499-b3ae-5e6ddad279aa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples = np.arange(0, 1, 1/44100)\n", "x, y = f(4)*np.cos(2*np.pi*0.5*samples), f(4)*np.sin(2*np.pi*0.5*samples)\n", "plt.figure(figsize=(6, 6))\n", "plt.axis([-1, 1, -1, 1])\n", "plt.plot(x, y)" ] }, { "cell_type": "code", "execution_count": 32, "id": "b87ebf18-c14e-4c03-a1b2-a5aa26be79f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freqs = np.arange(0, 8, 0.2)\n", "n_rows = len(freqs)//4\n", "plt.figure(figsize=(10, 25))\n", "signal = f(4) + 2*f(2)\n", "centers_of_mass = []\n", "for i, freq in enumerate(freqs):\n", " x, y = signal*np.cos(2*np.pi*freq*samples), signal*np.sin(2*np.pi*freq*samples)\n", " plt.subplot(n_rows, 4, i+1)\n", " plt.axis([-2, 2, -2, 2])\n", " plt.plot(x, y)\n", " plt.title(f\"freq = {freq:.2}\")\n", " plt.plot(x.mean(), y.mean(), 'ro')\n", " centers_of_mass.append(x.mean())\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 24, "id": "65965722-b7df-4f89-9cda-3022d5b897a5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(freqs, centers_of_mass)" ] }, { "cell_type": "code", "execution_count": 41, "id": "f27bf1ac-4f8a-440b-b1df-51f76dd1fee6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freqs = np.arange(0, 600, 0.1)\n", "signal = cmajor\n", "centers_of_mass = []\n", "for i, freq in enumerate(freqs):\n", " x, y = signal*np.cos(2*np.pi*freq*samples), signal*np.sin(2*np.pi*freq*samples)\n", " centers_of_mass.append([x.mean(), y.mean()])\n", "plt.plot(freqs, centers_of_mass)" ] }, { "cell_type": "code", "execution_count": 42, "id": "75a79726-8a93-460c-8c70-499ef15a004d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6000, 2)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "centers_of_mass = np.array(centers_of_mass)\n", "centers_of_mass.shape" ] }, { "cell_type": "code", "execution_count": 43, "id": "9033a9c9-1341-440e-af68-1324e9f058d6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "signal_reconstructed = np.zeros_like(signal)\n", "for i, freq in enumerate(freqs):\n", " signal_reconstructed += centers_of_mass[i, 0]*np.cos(2*np.pi*freq*samples) + centers_of_mass[i, 1]*np.sin(2*np.pi*freq*samples)\n", "\n", "ipd.Audio(signal_reconstructed, rate=44100)" ] }, { "cell_type": "code", "execution_count": 33, "id": "6a02207c-a36d-42b6-b513-c86548ac0076", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "masked_com = centers_of_mass.copy()\n", "masked_com[3000:6000] = 0\n", "plt.plot(freqs, masked_com)\n", "signal_reconstructed = np.zeros_like(signal)\n", "for i, freq in enumerate(freqs):\n", " signal_reconstructed += masked_com[i, 0]*np.cos(2*np.pi*freq*samples) + masked_com[i, 1]*np.sin(2*np.pi*freq*samples)\n", "\n", "ipd.Audio(signal_reconstructed, rate=44100)" ] }, { "cell_type": "markdown", "id": "b59bdd8d-a81b-4ae6-9d27-3239c50c4fbf", "metadata": {}, "source": [ "$$F(\\omega) = \\sum_{t=0}^{N}f(t)e^{-j2\\pi \\omega}$$" ] }, { "cell_type": "markdown", "id": "bf834f34-476b-4773-9baa-48621d20f124", "metadata": {}, "source": [ "$$f(t) = \\sum_{t=0}^{N}f(\\omega)e^{j2\\pi t}$$" ] }, { "cell_type": "code", "execution_count": 65, "id": "090bd304-4c1a-4754-9fde-5205c414b155", "metadata": {}, "outputs": [], "source": [ "def ft(signal, rate):\n", " n_samples = len(signal)\n", " freqs = np.arange(0, n_samples, 1)\n", " total_time = n_samples // rate\n", " t_samples = np.arange(0, total_time, total_time/n_samples)\n", "\n", " transform = np.zeros_like(signal, dtype=np.complex128)\n", "\n", " for freq in freqs[:rate//2]:\n", " for idx_t, t in enumerate(t_samples):\n", " transform[freq] += signal[idx_t]*np.exp(-1j*2*np.pi*freq*t)\n", " return transform" ] }, { "cell_type": "code", "execution_count": 46, "id": "1a3e786e-a66c-4552-8974-96c21ffc050d", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cmajor = f(c4, 3000) + f(e4, 3000) + f(g4, 3000)\n", "ipd.Audio(cmajor, rate=3000)" ] }, { "cell_type": "code", "execution_count": 56, "id": "0d12b984-8728-485b-a71b-a8ed7418ed92", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_cmajor = ft(cmajor)\n", "plt.plot(f_cmajor.imag)\n", "# f_cmajor" ] }, { "cell_type": "code", "execution_count": 59, "id": "236fd405-66f6-4475-b87a-abc258bd94cf", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(f_cmajor.imag)" ] }, { "cell_type": "code", "execution_count": 61, "id": "69615a2b-e6c9-4e18-9473-41f2c92e11e8", "metadata": {}, "outputs": [], "source": [ "lullaby = np.concatenate([f(e4, 3000), f(g4, 3000), f(d4, 3000), f(c4, 3000), f(d4, 3000), f(e4, 3000), f(g4, 3000), f(d4, 3000)])\n", "lullaby2 = np.concatenate([f(d4, 3000), f(g4, 3000), f(e4, 3000), f(c4, 3000), f(d4, 3000), f(e4, 3000), f(g4, 3000), f(d4, 3000)])" ] }, { "cell_type": "code", "execution_count": 66, "id": "1af1aa52-5625-4fc1-8a0b-762583b5b18d", "metadata": {}, "outputs": [], "source": [ "f_lullaby = ft(lullaby, 3000)" ] }, { "cell_type": "code", "execution_count": 75, "id": "248f6035-2122-4d11-9bc4-1bf155ae28ac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot((f_lullaby.imag)[:1000])" ] }, { "cell_type": "code", "execution_count": 71, "id": "0048fc82-d8dd-4dd8-bf0b-90580e7378e6", "metadata": {}, "outputs": [], "source": [ "f_lullaby2 = ft(lullaby2, 3000)" ] }, { "cell_type": "code", "execution_count": 74, "id": "65c00b13-c036-45b8-88e3-f4ae28aabb5e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot((f_lullaby2.imag)[:1000])\n" ] }, { "cell_type": "code", "execution_count": 77, "id": "b5869a9e-ee01-421f-8a81-adb36e88981b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(cmajor+3)" ] }, { "cell_type": "code", "execution_count": 80, "id": "54508a59-4145-409c-a197-860c84d448fd", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/_g/1kfxp0r5767cb_z8zk44fb2m0000gn/T/ipykernel_1696/971870192.py:1: RuntimeWarning: divide by zero encountered in log2\n", " plt.plot(np.log2(np.abs(ft(cmajor+3, 3000))))\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.log2(np.abs(ft(cmajor+3, 3000))))" ] }, { "cell_type": "code", "execution_count": 8, "id": "f9bf5dc0-8e46-4302-af26-852419e76630", "metadata": {}, "outputs": [], "source": [ "def ft2d(img):\n", " H, W = img.shape\n", " freqs_i = np.arange(0, H, 1)\n", " freqs_j = np.arange(0, W, 1)\n", " samples_i = np.arange(0, 1, 1/H)\n", " samples_j = np.arange(0, 1, 1/W)\n", "\n", " transform = np.zeros_like(img, dtype=np.complex128)\n", "\n", " for u in freqs_i:\n", " for v in freqs_j:\n", " for idx_i, i in enumerate(samples_i):\n", " for idx_j, j in enumerate(samples_j):\n", " transform[u, v] += img[idx_i, idx_j]*np.exp(-1j*2*np.pi*(u*i + v*j))\n", " return transform" ] }, { "cell_type": "code", "execution_count": 39, "id": "1089ad15-9a3c-4a54-84e8-d4a9508b5cae", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img = np.zeros((32, 32))\n", "img[10:15, 5:15] = 1\n", "plt.imshow(img, cmap='gray')" ] }, { "cell_type": "code", "execution_count": 40, "id": "e00a483f-6de0-41d1-a214-56a531add50f", "metadata": {}, "outputs": [], "source": [ "f_img = ft2d(img)" ] }, { "cell_type": "code", "execution_count": 50, "id": "938bd11f-d40b-4b0d-a88a-aa1f28e03217", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.fft.fftshift(np.log(np.abs(np.fft.fft2(img))+1)), cmap='gray')" ] }, { "cell_type": "code", "execution_count": 103, "id": "a9906de5-e760-4baf-97bc-7ad5e41e62e0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def inv_scale_matrix(si, sj):\n", " return np.array([[1.0 / si, 0, 0],\n", " [0, 1.0 / sj, 0],\n", " [0, 0, 1]] )\n", "\n", "def inv_translation_matrix(ti, tj):\n", " return np.array([[1, 0, -ti],\n", " [0, 1, -tj],\n", " [0, 0, 1]])\n", "\n", "def inv_rot_matrix(theta):\n", " return np.array([[np.cos(theta), np.sin(theta), 0],\n", " [-np.sin(theta), np.cos(theta), 0],\n", " [0, 0, 1]])\n", " \n", "def transform(img, m):\n", " new_img = np.zeros_like(img)\n", " h, w = img.shape\n", " for i in range(h):\n", " for j in range(w):\n", "\n", " p = np.array([i, j, 1])\n", " pl = mat_inv@p\n", "\n", " i_og = int(np.round(pl[0]))\n", " j_og = int(np.round(pl[1]))\n", "\n", " if not (i_og >= h or j_og >= w or i_og < 0 or j_og < 0):\n", " new_img[i, j] = img[i_og, j_og]\n", " return new_img\n", "\n", "mat_inv = inv_translation_matrix(-32/2.0, -32/2.0)\n", "mat_inv = mat_inv@inv_rot_matrix(np.pi/4)\n", "mat_inv = mat_inv@inv_translation_matrix(32/2.0, 32/2.0)\n", "img = transform(img, mat_inv)\n", "plt.imshow(img, cmap='gray')" ] }, { "cell_type": "code", "execution_count": 45, "id": "f8f70812-0b87-44c6-8e40-ae07bcb08551", "metadata": {}, "outputs": [], "source": [ "f_img = ft2d(img)" ] }, { "cell_type": "code", "execution_count": 48, "id": "fa6eab50-a1fa-4105-a3c0-65383b89825c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.fft.fftshift(np.log(np.abs(f_img))+0.001), cmap='gray')" ] }, { "cell_type": "code", "execution_count": 32, "id": "707f138d-b7d5-4751-88fa-da1a696ae91b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img = np.stack([np.arange(0, 1, 1/64) for _ in range(64)])\n", "img = np.sin(2*np.pi*5*img)\n", "plt.imshow(img, cmap='gray')" ] }, { "cell_type": "code", "execution_count": 38, "id": "a3e8105f-5406-4f16-89af-f939512a5635", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmEgpQI888oiysrKSpqKiInG+r69PkUhERUVFmjBhgmpqahSLxUZ90QCA9JfyO6ArrrhCx48fT8wHH3yQOLdmzRpt375dDQ0Nampq0rFjx7RkyZJRXTAAIDPkpPwJOTkKBoM/Ou55nv785z/rtdde0/XXXy9JevHFF3X55Zdr7969WrBgwSnv19/fr/7+/sTH8Xg81SUBANJQyu+A2traVFJSoosvvli33367Ojo6JEktLS0aHBxUOBxOXFtRUaGysjI1Nzef9n51dXXy+/2JKS0tHcY2AADpJqUAVVVV6aWXXtK7776rLVu2qL29Xddee616enoUjUaVl5enwsLCpM8JBAKKRqOnvWdtba08z0tMZ2fnsDYCAEgvKX0L7sYbb0z89+zZs1VVVaXp06frjTfeUH5+/rAW4PP55PP5hvW5AID0NaLHsAsLC3XppZfq6NGjCgaDGhgYUHd3d9I1sVjslD8zAgCc30YUoO+++05ffvmliouLVVlZqdzcXDU2NibOt7a2qqOjQ6FQaMQLBQBkGJeCBx54wO3Zs8e1t7e7Dz/80IXDYTdlyhTX1dXlnHNu+fLlrqyszO3evdsdOHDAhUIhFwqFUvkSzvM8J4lhGIZJ8/E874yv9yn9DOif//ynfvOb3+jf//63LrroIl1zzTXau3evLrroIknSk08+qezsbNXU1Ki/v1/V1dV65plnUvkSAIDzRJZzzlkv4vvi8bj8fr/1MgAAI+R5ngoKCk57nt8FBwAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYCLlAH399de64447VFRUpPz8fF155ZU6cOBA4rxzTuvXr1dxcbHy8/MVDofV1tY2qosGAKS/lAL07bffauHChcrNzdWOHTt0+PBhPfHEE5o0aVLimscff1ybNm3S1q1btW/fPo0fP17V1dXq6+sb9cUDANKYS8GDDz7orrnmmtOeHxoacsFg0G3cuDFxrLu72/l8Pvf666//pK/heZ6TxDAMw6T5eJ53xtf7lN4Bvf3225o3b55uu+02TZ06VXPnztXzzz+fON/e3q5oNKpwOJw45vf7VVVVpebm5lPes7+/X/F4PGkAAJkvpQB99dVX2rJli2bMmKGdO3dqxYoVuv/++/Xyyy9LkqLRqCQpEAgkfV4gEEic+6G6ujr5/f7ElJaWDmcfAIA0k1KAhoaGdNVVV+mxxx7T3Llzdc899+juu+/W1q1bh72A2tpaeZ6XmM7OzmHfCwCQPlIKUHFxsWbOnJl07PLLL1dHR4ckKRgMSpJisVjSNbFYLHHuh3w+nwoKCpIGAJD5UgrQwoUL1dramnTsiy++0PTp0yVJ5eXlCgaDamxsTJyPx+Pat2+fQqHQKCwXAJAxftrzb//10UcfuZycHPfoo4+6trY29+qrr7px48a5V155JXHNhg0bXGFhoXvrrbfcp59+6hYvXuzKy8vdiRMneAqOYRjmPJqzPQWXUoCcc2779u1u1qxZzufzuYqKCvfcc88lnR8aGnLr1q1zgUDA+Xw+t2jRItfa2vqT70+AGIZhMmPOFqAs55zTGBKPx+X3+62XAQAYIc/zzvhzfX4XHADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgYswFaIz9blQAwDCd7fV8zAWop6fHegkAgFFwttfzMffPMQwNDenYsWOaOHGienp6VFpaqs7Ozoz+p7rj8Tj7zBDnwx4l9plpRnufzjn19PSopKRE2dmnf5+TM+KvNMqys7M1bdo0SVJWVpYkqaCgIKP/8P+HfWaO82GPEvvMNKO5z5/y77qNuW/BAQDODwQIAGBiTAfI5/Pp4Ycfls/ns17KOcU+M8f5sEeJfWYaq32OuYcQAADnhzH9DggAkLkIEADABAECAJggQAAAEwQIAGBiTAdo8+bN+uUvf6kLL7xQVVVV+uijj6yXNCLvv/++br75ZpWUlCgrK0tvvvlm0nnnnNavX6/i4mLl5+crHA6rra3NZrHDVFdXp6uvvloTJ07U1KlTdcstt6i1tTXpmr6+PkUiERUVFWnChAmqqalRLBYzWvHwbNmyRbNnz078zfFQKKQdO3YkzmfCHn9ow4YNysrK0urVqxPHMmGfjzzyiLKyspKmoqIicT4T9vg/X3/9te644w4VFRUpPz9fV155pQ4cOJA4/3O/Bo3ZAP31r3/V2rVr9fDDD+vjjz/WnDlzVF1dra6uLuulDVtvb6/mzJmjzZs3n/L8448/rk2bNmnr1q3at2+fxo8fr+rqavX19f3MKx2+pqYmRSIR7d27V7t27dLg4KBuuOEG9fb2Jq5Zs2aNtm/froaGBjU1NenYsWNasmSJ4apTN23aNG3YsEEtLS06cOCArr/+ei1evFiff/65pMzY4/ft379fzz77rGbPnp10PFP2ecUVV+j48eOJ+eCDDxLnMmWP3377rRYuXKjc3Fzt2LFDhw8f1hNPPKFJkyYlrvnZX4PcGDV//nwXiUQSH588edKVlJS4uro6w1WNHklu27ZtiY+HhoZcMBh0GzduTBzr7u52Pp/Pvf766wYrHB1dXV1OkmtqanLO/XdPubm5rqGhIXHNkSNHnCTX3NxstcxRMWnSJPfCCy9k3B57enrcjBkz3K5du9x1113nVq1a5ZzLnD/Lhx9+2M2ZM+eU5zJlj8459+CDD7prrrnmtOctXoPG5DuggYEBtbS0KBwOJ45lZ2crHA6rubnZcGXnTnt7u6LRaNKe/X6/qqqq0nrPnudJkiZPnixJamlp0eDgYNI+KyoqVFZWlrb7PHnypOrr69Xb26tQKJRxe4xEIrrpppuS9iNl1p9lW1ubSkpKdPHFF+v2229XR0eHpMza49tvv6158+bptttu09SpUzV37lw9//zzifMWr0FjMkDffPONTp48qUAgkHQ8EAgoGo0arerc+t++MmnPQ0NDWr16tRYuXKhZs2ZJ+u8+8/LyVFhYmHRtOu7z0KFDmjBhgnw+n5YvX65t27Zp5syZGbXH+vp6ffzxx6qrq/vRuUzZZ1VVlV566SW9++672rJli9rb23Xttdeqp6cnY/YoSV999ZW2bNmiGTNmaOfOnVqxYoXuv/9+vfzyy5JsXoPG3D/HgMwRiUT02WefJX0/PZNcdtllOnjwoDzP09/+9jctW7ZMTU1N1ssaNZ2dnVq1apV27dqlCy+80Ho558yNN96Y+O/Zs2erqqpK06dP1xtvvKH8/HzDlY2uoaEhzZs3T4899pgkae7cufrss8+0detWLVu2zGRNY/Id0JQpU3TBBRf86EmTWCymYDBotKpz63/7ypQ9r1y5Uu+8847ee++9xL/vJP13nwMDA+ru7k66Ph33mZeXp0suuUSVlZWqq6vTnDlz9NRTT2XMHltaWtTV1aWrrrpKOTk5ysnJUVNTkzZt2qScnBwFAoGM2OcPFRYW6tJLL9XRo0cz5s9SkoqLizVz5sykY5dffnni240Wr0FjMkB5eXmqrKxUY2Nj4tjQ0JAaGxsVCoUMV3bulJeXKxgMJu05Ho9r3759abVn55xWrlypbdu2affu3SovL086X1lZqdzc3KR9tra2qqOjI632eSpDQ0Pq7+/PmD0uWrRIhw4d0sGDBxMzb9483X777Yn/zoR9/tB3332nL7/8UsXFxRnzZylJCxcu/NFfifjiiy80ffp0SUavQefk0YZRUF9f73w+n3vppZfc4cOH3T333OMKCwtdNBq1Xtqw9fT0uE8++cR98sknTpL74x//6D755BP3j3/8wznn3IYNG1xhYaF766233KeffuoWL17sysvL3YkTJ4xX/tOtWLHC+f1+t2fPHnf8+PHE/Oc//0lcs3z5cldWVuZ2797tDhw44EKhkAuFQoarTt1DDz3kmpqaXHt7u/v000/dQw895LKystzf//5351xm7PFUvv8UnHOZsc8HHnjA7dmzx7W3t7sPP/zQhcNhN2XKFNfV1eWcy4w9OufcRx995HJyctyjjz7q2tra3KuvvurGjRvnXnnllcQ1P/dr0JgNkHPOPf30066srMzl5eW5+fPnu71791ovaUTee+89J+lHs2zZMufcfx+DXLdunQsEAs7n87lFixa51tZW20Wn6FT7k+RefPHFxDUnTpxw9957r5s0aZIbN26cu/XWW93x48ftFj0Mv/vd79z06dNdXl6eu+iii9yiRYsS8XEuM/Z4Kj8MUCbsc+nSpa64uNjl5eW5X/ziF27p0qXu6NGjifOZsMf/2b59u5s1a5bz+XyuoqLCPffcc0nnf+7XIP49IACAiTH5MyAAQOYjQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABg4v8AjaPNvvA/zf0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_img = np.fft.fft2(img)\n", "f_img = ft2d(img)\n", "plt.imshow(np.fft.fftshift(np.log2(np.abs(f_img)+1)), cmap='gray')" ] }, { "cell_type": "code", "execution_count": null, "id": "93920270-cba4-4bb1-ba73-e78a3e6ad256", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cdfd566a-9883-40ce-aa22-d8f9ac615c8c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "61956544-a64d-4e1e-9207-6cd4cac13ab5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.1" } }, "nbformat": 4, "nbformat_minor": 5 }