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scikit-image/skimage/measure/tests/test_moments.py
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2013-08-17 18:04:35 +02:00

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Python

from numpy.testing import assert_equal, assert_almost_equal
import numpy as np
from skimage.measure import (moments, moments_central, moments_normalized,
moments_hu)
def test_moments():
image = np.zeros((20, 20), dtype=np.double)
image[14, 14] = 1
image[15, 15] = 1
image[14, 15] = 0.5
image[15, 14] = 0.5
m = moments(image)
assert_equal(m[0, 0], 3)
assert_almost_equal(m[0, 1] / m[0, 0], 14.5)
assert_almost_equal(m[1, 0] / m[0, 0], 14.5)
def test_moments_central():
image = np.zeros((20, 20), dtype=np.double)
image[14, 14] = 1
image[15, 15] = 1
image[14, 15] = 0.5
image[15, 14] = 0.5
mu = moments_central(image, 14.5, 14.5)
# shift image by dx=2, dy=2
image2 = np.zeros((20, 20), dtype=np.double)
image2[16, 16] = 1
image2[17, 17] = 1
image2[16, 17] = 0.5
image2[17, 16] = 0.5
mu2 = moments_central(image2, 14.5 + 2, 14.5 + 2)
# central moments must be translation invariant
assert_equal(mu, mu2)
def test_moments_normalized():
image = np.zeros((20, 20), dtype=np.double)
image[13:17, 13:17] = 1
mu = moments_central(image, 14.5, 14.5)
nu = moments_normalized(mu)
# shift image by dx=-3, dy=-3 and scale by 0.5
image2 = np.zeros((20, 20), dtype=np.double)
image2[11:13, 11:13] = 1
mu2 = moments_central(image2, 11.5, 11.5)
nu2 = moments_normalized(mu2)
# central moments must be translation and scale invariant
assert_almost_equal(nu, nu2, decimal=1)
def test_moments_hu():
image = np.zeros((20, 20), dtype=np.double)
image[13:15, 13:17] = 1
mu = moments_central(image, 13.5, 14.5)
nu = moments_normalized(mu)
hu = moments_hu(nu)
# shift image by dx=2, dy=3, scale by 0.5 and rotate by 90deg
image2 = np.zeros((20, 20), dtype=np.double)
image2[11, 11:13] = 1
image2 = image2.T
mu2 = moments_central(image2, 11.5, 11)
nu2 = moments_normalized(mu2)
hu2 = moments_hu(nu2)
# central moments must be translation and scale invariant
assert_almost_equal(hu, hu2, decimal=1)
if __name__ == "__main__":
from numpy.testing import run_module_suite
run_module_suite()