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68
src/experiments/algorithms/fft.py
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68
src/experiments/algorithms/fft.py
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from __future__ import print_function
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import sys
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import cv2 as cv
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import matplotlib.pyplot as plt
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import numpy as np
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def print_help():
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print('''
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This program demonstrated the use of the discrete Fourier transform (DFT).
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The dft of an image is taken and it's power spectrum is displayed.
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Usage:
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discrete_fourier_transform.py [image_name -- default lena.jpg]''')
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def main(argv):
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print_help()
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filename = argv[0] if len(argv) > 0 else 'lena.jpg'
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I = cv.imread(cv.samples.findFile(filename), cv.IMREAD_GRAYSCALE)
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if I is None:
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print('Error opening image')
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return -1
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I = cv.resize(I, (0,0), None, fx=1, fy=1)
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rows, cols = I.shape
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m = cv.getOptimalDFTSize( rows )
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n = cv.getOptimalDFTSize( cols )
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padded = cv.copyMakeBorder(I, 0, m - rows, 0, n - cols, cv.BORDER_CONSTANT, value=[0, 0, 0])
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planes = [np.float32(padded), np.zeros(padded.shape, np.float32)]
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complexI = cv.merge(planes) # Add to the expanded another plane with zeros
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cv.dft(complexI, complexI) # this way the result may fit in the source matrix
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cv.split(complexI, planes) # planes[0] = Re(DFT(I), planes[1] = Im(DFT(I))
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cv.magnitude(planes[0], planes[1], planes[0])# planes[0] = magnitude
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magI = planes[0]
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matOfOnes = np.ones(magI.shape, dtype=magI.dtype)
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cv.add(matOfOnes, magI, magI) # switch to logarithmic scale
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cv.log(magI, magI)
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magI_rows, magI_cols = magI.shape
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# crop the spectrum, if it has an odd number of rows or columns
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magI = magI[0:(magI_rows & -2), 0:(magI_cols & -2)]
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cx = int(magI_rows/2)
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cy = int(magI_cols/2)
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q0 = magI[0:cx, 0:cy] # Top-Left - Create a ROI per quadrant
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q1 = magI[cx:cx+cx, 0:cy] # Top-Right
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q2 = magI[0:cx, cy:cy+cy] # Bottom-Left
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q3 = magI[cx:cx+cx, cy:cy+cy] # Bottom-Right
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tmp = np.copy(q0) # swap quadrants (Top-Left with Bottom-Right)
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magI[0:cx, 0:cy] = q3
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magI[cx:cx + cx, cy:cy + cy] = tmp
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tmp = np.copy(q1) # swap quadrant (Top-Right with Bottom-Left)
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magI[cx:cx + cx, 0:cy] = q2
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magI[0:cx, cy:cy + cy] = tmp
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cv.normalize(magI, magI, 0, 1, cv.NORM_MINMAX) # Transform the matrix with float values into a
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cv.imshow("Input Image" , I ) # Show the result
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cv.imshow("spectrum magnitude", magI)
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cv.imwrite("src\\experiments\\algorithms\\image\\fft.jpg", magI)
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cv.waitKey()
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x = cv.calcHist([I], [0], None, [256], [0, 256])
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plt.plot(x)
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plt.show()
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if __name__ == "__main__":
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main(sys.argv[1:])
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