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44e325c42b
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from scipy import fftpack
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import numpy as np
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import imageio
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from PIL import Image, ImageDraw
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import matplotlib.pyplot as plt
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image = imageio.imread('image.jpg', mode = 'L')
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#plt.imshow(image, cmap = 'grey')
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#plt.show()
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# convert image to numpy array
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imageNp = np.array(image)
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# fft of image
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fft1 = fftpack.fftshift(fftpack.fft2(imageNp))
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# create a low pass filter image
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x, y = imageNp.shape
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# size of circle
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CIRCLE_RADIUS = 50
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eX, eY = CIRCLE_RADIUS, CIRCLE_RADIUS
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# create a box
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middleX, middleY = x / 2, y / 2
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bbox = (middleX - eX, middleY - eY, middleX + eX, middleY + eY)
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lowPass = Image.new('L', imageNp.shape, color = 0)
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draw = ImageDraw.Draw(lowPass)
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draw.ellipse(bbox, fill = 1)
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lowPassNp = np.array(lowPass)
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# multiply both the images
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filtered = np.multiply(fft1, lowPassNp.T)
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# inverse fft
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ifft2 = np.real(fftpack.ifft2(fftpack.ifftshift(filtered)))
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ifft2 = np.maximum(0, np.minimum(ifft2, 255))
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# save the image
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imageio.imsave('fft-then-ifft.png', ifft2.astype(np.uint8))
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