{ "metadata": { "name": "", "signature": "sha256:8c1f9e90024213bf2dd85b12ffc6934d47a84153db9b9646196bccc5ec60e79a" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import cv2\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from skimage import io\n", "from numpy import fft\n", "\n", "from IPython.html import widgets\n", "\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Image Processing in OpenCV\n", "- [resource](http://docs.opencv.org/trunk/doc/py_tutorials/py_imgproc/py_table_of_contents_imgproc/py_table_of_contents_imgproc.html#py-table-of-content-imgproc)\n", "\n", "## Topic: FFT\n", "- cv2.dft() and cv2.idft()\n", "- their applications\n", "- it works mostly with a single channel or gray-scale\n", "\n", "Intuitively we can say, edges and noises are high frequency contents in an image. If there is no much changes in amplitude, it is a low frequency component. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### the way in numpy\n", "- use `np.fft.fft2()` to get the spectrum, which is a complex matrix (that is what we need for manipulation)\n", "- use `np.abs` to get the magnitude spectrum, and take the `np.log()` to make them visible\n", "- use `np.fft.fftshift()` to make the DC component (low freq) move from top-left to center\n", "- do analysis or manipulation, e.g. High/Low pass filtering to the fft-matrix\n", "- use `np.fft.ifftshift()` (no fft.fftishift) to shift back to top-left centered DC\n", "- use `np.ifft2()` to get the image domain matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rose = cv2.imread(\"public-images/blue_rose.jpg\", cv2.IMREAD_GRAYSCALE)\n", "rose_fft = fft.fftshift(fft.fft2(rose))\n", "\n", "plt.imshow(np.log(np.abs(rose_fft)), cmap = plt.cm.gray)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "" ] }, 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bKIqsZJJ0pMtDx+mlPf55MEgcxjeEKEM9HUCgBSmC3PhutLCUiAQhngntKtIs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U5HIpzr3t5enYJJ78rpmiKlit03Kn6qc1QM2+c7YVOqKkVh7IaRDAaDkhLhRZ1xhVPjJKUw0iQb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\n1uv1kOGRy+X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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "hp_rose_fft = rose_fft.copy()\n", "cr, cc = rose.shape[0] / 2, rose.shape[1] / 2\n", "hp_rose_fft[cr-30:cr+30, cc-30:cc+30] = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "hp_rose = fft.ifft2(fft.ifftshift(hp_rose_fft))\n", "hp_rose = np.abs(hp_rose)\n", "plt.imshow(hp_rose, cmap = plt.cm.gray)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0duKgg0L43mX/GwKDlTk78Wu5BsG5oseumE+KZ8uldIbaWQx/czBE0VmYDtKe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\nhhs7NzcXYOHBAMprUQwAGdwj1rs30CgWi2o2m+p0OhoOR4Ebmpzg3jv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cm//Z7GTTX7dK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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## why some filters are hp and some are lp\n", "\n", "this is determined by the effect of the kernel used in that filer. convolution in time domain is equivalent to mulitplication in frequence domain." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mean_filter = np.ones((3, 3))\n", "gaussian_filter = cv2.getGaussianKernel(5, 10) * cv2.getGaussianKernel(5, 10).T\n", "laplacian = np.array([[0, 1, 0],\n", " [1, -4, 1],\n", " [0, 1, 0]])\n", "\n", "fig, axes = plt.subplots(1, 3, figsize = (3 * 4, 4))\n", "\n", "filters = zip([\"mean_filter\", \"gaussian_filter\", \"laplacian\"], \n", " [mean_filter, gaussian_filter, laplacian])\n", "for i, (filter_name, filter_kernel) in enumerate(filters):\n", " specterum = fft.fftshift(fft.fft2(filter_kernel))\n", " specterum = np.log(np.abs(specterum) + 1)\n", " axes[i].imshow(specterum, cmap = plt.cm.gray)\n", " axes[i].set_title(filter_name)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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E5VA6VWu4cOHCAYm19lmtwckOWgtyQdah5Fvb9epZE3tCNPJmzGrbQ8d9l9VS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\nyXEk2l7ZJZyLfaE0B1jRJUuWZWOwRLmkyQsDcFC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