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scikit-image/skimage/measure/tests/test_regionprops.py
T
2012-10-10 09:09:52 +02:00

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Python

from numpy.testing import assert_array_equal, assert_almost_equal, \
assert_array_almost_equal, assert_raises
import numpy as np
import math
from skimage.measure._regionprops import regionprops, PROPS, perimeter
SAMPLE = np.array(
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0],
[0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1],
[0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]]
)
INTENSITY_SAMPLE = SAMPLE.copy()
INTENSITY_SAMPLE[1, 9:11] = 2
def test_unsupported_dtype():
assert_raises(TypeError, regionprops, np.zeros((10, 10), dtype=np.double))
def test_all_props():
props = regionprops(SAMPLE, 'all', INTENSITY_SAMPLE)[0]
for prop in PROPS:
assert prop in props
def test_area():
area = regionprops(SAMPLE, ['Area'])[0]['Area']
assert area == np.sum(SAMPLE)
def test_bbox():
bbox = regionprops(SAMPLE, ['BoundingBox'])[0]['BoundingBox']
assert_array_almost_equal(bbox, (0, 0, SAMPLE.shape[0], SAMPLE.shape[1]))
SAMPLE_mod = SAMPLE.copy()
SAMPLE_mod[:, -1] = 0
bbox = regionprops(SAMPLE_mod, ['BoundingBox'])[0]['BoundingBox']
assert_array_almost_equal(bbox, (0, 0, SAMPLE.shape[0], SAMPLE.shape[1]-1))
def test_central_moments():
mu = regionprops(SAMPLE, ['CentralMoments'])[0]['CentralMoments']
#: determined with OpenCV
assert_almost_equal(mu[0,2], 436.00000000000045)
# different from OpenCV results, bug in OpenCV
assert_almost_equal(mu[0,3], -737.333333333333)
assert_almost_equal(mu[1,1], -87.33333333333303)
assert_almost_equal(mu[1,2], -127.5555555555593)
assert_almost_equal(mu[2,0], 1259.7777777777774)
assert_almost_equal(mu[2,1], 2000.296296296291)
assert_almost_equal(mu[3,0], -760.0246913580195)
def test_centroid():
centroid = regionprops(SAMPLE, ['Centroid'])[0]['Centroid']
# determined with MATLAB
assert_array_almost_equal(centroid, (5.66666666666666, 9.444444444444444))
def test_convex_area():
area = regionprops(SAMPLE, ['ConvexArea'])[0]['ConvexArea']
# determined with MATLAB
assert area == 124
def test_convex_image():
img = regionprops(SAMPLE, ['ConvexImage'])[0]['ConvexImage']
# determined with MATLAB
ref = np.array(
[[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
)
assert_array_equal(img, ref)
def test_coordinates():
sample = np.zeros((10, 10), dtype=np.int8)
coords = np.array([[3, 2], [3, 3], [3, 4]])
sample[coords[:, 0], coords[:, 1]] = 1
prop_coords = regionprops(sample, ['Coordinates'])[0]['Coordinates']
assert_array_equal(prop_coords, coords)
def test_eccentricity():
eps = regionprops(SAMPLE, ['Eccentricity'])[0]['Eccentricity']
assert_almost_equal(eps, 0.814629313427)
img = np.zeros((5, 5), dtype=np.int)
img[2, 2] = 1
eps = regionprops(img, ['Eccentricity'])[0]['Eccentricity']
assert_almost_equal(eps, 0)
def test_equiv_diameter():
diameter = regionprops(SAMPLE, ['EquivDiameter'])[0]['EquivDiameter']
# determined with MATLAB
assert_almost_equal(diameter, 9.57461472963)
def test_euler_number():
en = regionprops(SAMPLE, ['EulerNumber'])[0]['EulerNumber']
assert en == 0
SAMPLE_mod = SAMPLE.copy()
SAMPLE_mod[7, -3] = 0
en = regionprops(SAMPLE_mod, ['EulerNumber'])[0]['EulerNumber']
assert en == -1
def test_extent():
extent = regionprops(SAMPLE, ['Extent'])[0]['Extent']
assert_almost_equal(extent, 0.4)
def test_hu_moments():
hu = regionprops(SAMPLE, ['HuMoments'])[0]['HuMoments']
ref = np.array([
3.27117627e-01,
2.63869194e-02,
2.35390060e-02,
1.23151193e-03,
1.38882330e-06,
-2.72586158e-05,
6.48350653e-06
])
# bug in OpenCV caused in Central Moments calculation?
assert_array_almost_equal(hu, ref)
def test_image():
img = regionprops(SAMPLE, ['Image'])[0]['Image']
assert_array_equal(img, SAMPLE)
def test_filled_area():
area = regionprops(SAMPLE, ['FilledArea'])[0]['FilledArea']
assert area == np.sum(SAMPLE)
SAMPLE_mod = SAMPLE.copy()
SAMPLE_mod[7, -3] = 0
area = regionprops(SAMPLE_mod, ['FilledArea'])[0]['FilledArea']
assert area == np.sum(SAMPLE)
def test_filled_image():
img = regionprops(SAMPLE, ['FilledImage'])[0]['FilledImage']
assert_array_equal(img, SAMPLE)
def test_major_axis_length():
length = regionprops(SAMPLE, ['MajorAxisLength'])[0]['MajorAxisLength']
# MATLAB has different interpretation of ellipse than found in literature,
# here implemented as found in literature
assert_almost_equal(length, 16.7924234999)
def test_max_intensity():
intensity = regionprops(SAMPLE, ['MaxIntensity'], INTENSITY_SAMPLE
)[0]['MaxIntensity']
assert_almost_equal(intensity, 2)
def test_mean_intensity():
intensity = regionprops(SAMPLE, ['MeanIntensity'], INTENSITY_SAMPLE
)[0]['MeanIntensity']
assert_almost_equal(intensity, 1.02777777777777)
def test_min_intensity():
intensity = regionprops(SAMPLE, ['MinIntensity'], INTENSITY_SAMPLE
)[0]['MinIntensity']
assert_almost_equal(intensity, 1)
def test_minor_axis_length():
length = regionprops(SAMPLE, ['MinorAxisLength'])[0]['MinorAxisLength']
# MATLAB has different interpretation of ellipse than found in literature,
# here implemented as found in literature
assert_almost_equal(length, 9.739302807263)
def test_moments():
m = regionprops(SAMPLE, ['Moments'])[0]['Moments']
#: determined with OpenCV
assert_almost_equal(m[0,0], 72.0)
assert_almost_equal(m[0,1], 408.0)
assert_almost_equal(m[0,2], 2748.0)
assert_almost_equal(m[0,3], 19776.0)
assert_almost_equal(m[1,0], 680.0)
assert_almost_equal(m[1,1], 3766.0)
assert_almost_equal(m[1,2], 24836.0)
assert_almost_equal(m[2,0], 7682.0)
assert_almost_equal(m[2,1], 43882.0)
assert_almost_equal(m[3,0], 95588.0)
def test_normalized_moments():
nu = regionprops(SAMPLE, ['NormalizedMoments'])[0]['NormalizedMoments']
#: determined with OpenCV
assert_almost_equal(nu[0,2], 0.08410493827160502)
assert_almost_equal(nu[1,1], -0.016846707818929982)
assert_almost_equal(nu[1,2], -0.002899800614433943)
assert_almost_equal(nu[2,0], 0.24301268861454037)
assert_almost_equal(nu[2,1], 0.045473992910668816)
assert_almost_equal(nu[3,0], -0.017278118992041805)
def test_orientation():
orientation = regionprops(SAMPLE, ['Orientation'])[0]['Orientation']
# determined with MATLAB
assert_almost_equal(orientation, 0.10446844651921)
# test correct quadrant determination
orientation2 = regionprops(SAMPLE.T, ['Orientation'])[0]['Orientation']
assert_almost_equal(orientation2, math.pi / 2 - orientation)
# test diagonal regions
diag = np.eye(10, dtype=int)
orientation_diag = regionprops(diag, ['Orientation'])[0]['Orientation']
assert_almost_equal(orientation_diag, -math.pi / 4)
orientation_diag = regionprops(np.flipud(diag), ['Orientation']
)[0]['Orientation']
assert_almost_equal(orientation_diag, math.pi / 4)
orientation_diag = regionprops(np.fliplr(diag), ['Orientation']
)[0]['Orientation']
assert_almost_equal(orientation_diag, math.pi / 4)
orientation_diag = regionprops(np.fliplr(np.flipud(diag)), ['Orientation']
)[0]['Orientation']
assert_almost_equal(orientation_diag, -math.pi / 4)
def test_perimeter():
per = regionprops(SAMPLE, ['Perimeter'])[0]['Perimeter']
assert_almost_equal(per, 59.2132034355964)
per = perimeter(SAMPLE.astype('double'), neighbourhood=8)
assert_almost_equal(per, 43.1213203436)
def test_solidity():
solidity = regionprops(SAMPLE, ['Solidity'])[0]['Solidity']
# determined with MATLAB
assert_almost_equal(solidity, 0.580645161290323)
def test_weighted_central_moments():
wmu = regionprops(SAMPLE, ['WeightedCentralMoments'], INTENSITY_SAMPLE
)[0]['WeightedCentralMoments']
ref = np.array(
[[ 7.4000000000e+01, -2.1316282073e-13, 4.7837837838e+02,
-7.5943608473e+02],
[ 3.7303493627e-14, -8.7837837838e+01, -1.4801314828e+02,
-1.2714707125e+03],
[ 1.2602837838e+03, 2.1571526662e+03, 6.6989799420e+03,
1.5304076361e+04],
[ -7.6561796932e+02, -4.2385971907e+03, -9.9501164076e+03,
-3.3156729271e+04]]
)
np.set_printoptions(precision=10)
assert_array_almost_equal(wmu, ref)
def test_weighted_centroid():
centroid = regionprops(SAMPLE, ['WeightedCentroid'], INTENSITY_SAMPLE
)[0]['WeightedCentroid']
assert_array_almost_equal(centroid, (5.540540540540, 9.445945945945))
def test_weighted_hu_moments():
whu = regionprops(SAMPLE, ['WeightedHuMoments'], INTENSITY_SAMPLE
)[0]['WeightedHuMoments']
ref = np.array([
3.1750587329e-01,
2.1417517159e-02,
2.3609322038e-02,
1.2565683360e-03,
8.3014209421e-07,
-3.5073773473e-05,
6.7936409056e-06
])
assert_array_almost_equal(whu, ref)
def test_weighted_moments():
wm = regionprops(SAMPLE, ['WeightedMoments'], INTENSITY_SAMPLE
)[0]['WeightedMoments']
ref = np.array(
[[ 7.4000000000e+01, 4.1000000000e+02, 2.7500000000e+03,
1.9778000000e+04],
[ 6.9900000000e+02, 3.7850000000e+03, 2.4855000000e+04,
1.7500100000e+05],
[ 7.8630000000e+03, 4.4063000000e+04, 2.9347700000e+05,
2.0810510000e+06],
[ 9.7317000000e+04, 5.7256700000e+05, 3.9007170000e+06,
2.8078871000e+07]]
)
assert_array_almost_equal(wm, ref)
def test_weighted_normalized_moments():
wnu = regionprops(SAMPLE, ['WeightedNormalizedMoments'], INTENSITY_SAMPLE
)[0]['WeightedNormalizedMoments']
ref = np.array(
[[ np.nan, np.nan, 0.0873590903, -0.0161217406],
[ np.nan, -0.0160405109, -0.0031421072, -0.0031376984],
[ 0.230146783, 0.0457932622, 0.0165315478, 0.0043903193],
[-0.0162529732, -0.0104598869, -0.0028544152, -0.0011057191]]
)
assert_array_almost_equal(wnu, ref)
if __name__ == "__main__":
from numpy.testing import run_module_suite
run_module_suite()