Open Source Computer Vision Library https://opencv.org/
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#!/usr/bin/env python
'''
Test for disctrete fourier transform (dft)
'''
# Python 2/3 compatibility
from __future__ import print_function
import cv2
import numpy as np
import sys
from tests_common import NewOpenCVTests
class dft_test(NewOpenCVTests):
def test_dft(self):
img = self.get_sample('samples/data/rubberwhale1.png', 0)
eps = 0.001
#test direct transform
refDft = np.fft.fft2(img)
refDftShift = np.fft.fftshift(refDft)
refMagnitide = np.log(1.0 + np.abs(refDftShift))
testDft = cv2.dft(np.float32(img),flags = cv2.DFT_COMPLEX_OUTPUT)
testDftShift = np.fft.fftshift(testDft)
testMagnitude = np.log(1.0 + cv2.magnitude(testDftShift[:,:,0], testDftShift[:,:,1]))
refMagnitide = cv2.normalize(refMagnitide, 0.0, 1.0, cv2.NORM_MINMAX)
testMagnitude = cv2.normalize(testMagnitude, 0.0, 1.0, cv2.NORM_MINMAX)
self.assertLess(cv2.norm(refMagnitide - testMagnitude), eps)
#test inverse transform
img_back = np.fft.ifft2(refDft)
img_back = np.abs(img_back)
img_backTest = cv2.idft(testDft)
img_backTest = cv2.magnitude(img_backTest[:,:,0], img_backTest[:,:,1])
img_backTest = cv2.normalize(img_backTest, 0.0, 1.0, cv2.NORM_MINMAX)
img_back = cv2.normalize(img_back, 0.0, 1.0, cv2.NORM_MINMAX)
self.assertLess(cv2.norm(img_back - img_backTest), eps)