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scikit-image/skimage/transform/tests/test_warps.py
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2013-10-02 17:33:17 +02:00

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Python

from numpy.testing import assert_array_almost_equal, run_module_suite, assert_array_equal
import numpy as np
from scipy.ndimage import map_coordinates
from skimage.transform import (warp, warp_coords, rotate, resize, rescale,
AffineTransform,
ProjectiveTransform,
SimilarityTransform,
downscale_local_mean)
from skimage import transform as tf, data, img_as_float
from skimage.color import rgb2gray
def test_warp_tform():
x = np.zeros((5, 5), dtype=np.double)
x[2, 2] = 1
theta = - np.pi / 2
tform = SimilarityTransform(scale=1, rotation=theta, translation=(0, 4))
x90 = warp(x, tform, order=1)
assert_array_almost_equal(x90, np.rot90(x))
x90 = warp(x, tform.inverse, order=1)
assert_array_almost_equal(x90, np.rot90(x))
def test_warp_callable():
x = np.zeros((5, 5), dtype=np.double)
x[2, 2] = 1
refx = np.zeros((5, 5), dtype=np.double)
refx[1, 1] = 1
shift = lambda xy: xy + 1
outx = warp(x, shift, order=1)
assert_array_almost_equal(outx, refx)
def test_warp_matrix():
x = np.zeros((5, 5), dtype=np.double)
x[2, 2] = 1
refx = np.zeros((5, 5), dtype=np.double)
refx[1, 1] = 1
matrix = np.array([[1, 0, 1], [0, 1, 1], [0, 0, 1]])
# _warp_fast
outx = warp(x, matrix, order=1)
assert_array_almost_equal(outx, refx)
# check for ndimage.map_coordinates
outx = warp(x, matrix, order=5)
def test_homography():
x = np.zeros((5, 5), dtype=np.double)
x[1, 1] = 1
theta = -np.pi / 2
M = np.array([[np.cos(theta), - np.sin(theta), 0],
[np.sin(theta), np.cos(theta), 4],
[0, 0, 1]])
x90 = warp(x,
inverse_map=ProjectiveTransform(M).inverse,
order=1)
assert_array_almost_equal(x90, np.rot90(x))
def test_fast_homography():
img = rgb2gray(data.lena()).astype(np.uint8)
img = img[:, :100]
theta = np.deg2rad(30)
scale = 0.5
tx, ty = 50, 50
H = np.eye(3)
S = scale * np.sin(theta)
C = scale * np.cos(theta)
H[:2, :2] = [[C, -S], [S, C]]
H[:2, 2] = [tx, ty]
tform = ProjectiveTransform(H)
coords = warp_coords(tform.inverse, (img.shape[0], img.shape[1]))
for order in range(4):
for mode in ('constant', 'reflect', 'wrap', 'nearest'):
p0 = map_coordinates(img, coords, mode=mode, order=order)
p1 = warp(img, tform, mode=mode, order=order)
# import matplotlib.pyplot as plt
# f, (ax0, ax1, ax2, ax3) = plt.subplots(1, 4)
# ax0.imshow(img)
# ax1.imshow(p0, cmap=plt.cm.gray)
# ax2.imshow(p1, cmap=plt.cm.gray)
# ax3.imshow(np.abs(p0 - p1), cmap=plt.cm.gray)
# plt.show()
d = np.mean(np.abs(p0 - p1))
assert d < 0.001
def test_rotate():
x = np.zeros((5, 5), dtype=np.double)
x[1, 1] = 1
x90 = rotate(x, 90)
assert_array_almost_equal(x90, np.rot90(x))
def test_rotate_resize():
x = np.zeros((10, 10), dtype=np.double)
x45 = rotate(x, 45, resize=False)
assert x45.shape == (10, 10)
x45 = rotate(x, 45, resize=True)
# new dimension should be d = sqrt(2 * (10/2)^2)
assert x45.shape == (14, 14)
def test_rescale():
# same scale factor
x = np.zeros((5, 5), dtype=np.double)
x[1, 1] = 1
scaled = rescale(x, 2, order=0)
ref = np.zeros((10, 10))
ref[2:4, 2:4] = 1
assert_array_almost_equal(scaled, ref)
# different scale factors
x = np.zeros((5, 5), dtype=np.double)
x[1, 1] = 1
scaled = rescale(x, (2, 1), order=0)
ref = np.zeros((10, 5))
ref[2:4, 1] = 1
assert_array_almost_equal(scaled, ref)
def test_resize2d():
x = np.zeros((5, 5), dtype=np.double)
x[1, 1] = 1
resized = resize(x, (10, 10), order=0)
ref = np.zeros((10, 10))
ref[2:4, 2:4] = 1
assert_array_almost_equal(resized, ref)
def test_resize3d_keep():
# keep 3rd dimension
x = np.zeros((5, 5, 3), dtype=np.double)
x[1, 1, :] = 1
resized = resize(x, (10, 10), order=0)
ref = np.zeros((10, 10, 3))
ref[2:4, 2:4, :] = 1
assert_array_almost_equal(resized, ref)
resized = resize(x, (10, 10, 3), order=0)
assert_array_almost_equal(resized, ref)
def test_resize3d_resize():
# resize 3rd dimension
x = np.zeros((5, 5, 3), dtype=np.double)
x[1, 1, :] = 1
resized = resize(x, (10, 10, 1), order=0)
ref = np.zeros((10, 10, 1))
ref[2:4, 2:4] = 1
assert_array_almost_equal(resized, ref)
def test_resize3d_bilinear():
# bilinear 3rd dimension
x = np.zeros((5, 5, 2), dtype=np.double)
x[1, 1, 0] = 0
x[1, 1, 1] = 1
resized = resize(x, (10, 10, 1), order=1)
ref = np.zeros((10, 10, 1))
ref[1:5, 1:5, :] = 0.03125
ref[1:5, 2:4, :] = 0.09375
ref[2:4, 1:5, :] = 0.09375
ref[2:4, 2:4, :] = 0.28125
assert_array_almost_equal(resized, ref)
def test_swirl():
image = img_as_float(data.checkerboard())
swirl_params = {'radius': 80, 'rotation': 0, 'order': 2, 'mode': 'reflect'}
swirled = tf.swirl(image, strength=10, **swirl_params)
unswirled = tf.swirl(swirled, strength=-10, **swirl_params)
assert np.mean(np.abs(image - unswirled)) < 0.01
def test_const_cval_out_of_range():
img = np.random.randn(100, 100)
cval = - 10
warped = warp(img, AffineTransform(translation=(10, 10)), cval=cval)
assert np.sum(warped == cval) == (2 * 100 * 10 - 10 * 10)
def test_warp_identity():
lena = img_as_float(rgb2gray(data.lena()))
assert len(lena.shape) == 2
assert np.allclose(lena, warp(lena, AffineTransform(rotation=0)))
assert not np.allclose(lena, warp(lena, AffineTransform(rotation=0.1)))
rgb_lena = np.transpose(np.asarray([lena, np.zeros_like(lena), lena]),
(1, 2, 0))
warped_rgb_lena = warp(rgb_lena, AffineTransform(rotation=0.1))
assert np.allclose(rgb_lena, warp(rgb_lena, AffineTransform(rotation=0)))
assert not np.allclose(rgb_lena, warped_rgb_lena)
# assert no cross-talk between bands
assert np.all(0 == warped_rgb_lena[:, :, 1])
def test_warp_coords_example():
image = data.lena().astype(np.float32)
assert 3 == image.shape[2]
tform = SimilarityTransform(translation=(0, -10))
coords = warp_coords(tform, (30, 30, 3))
map_coordinates(image[:, :, 0], coords[:2])
def test_downscale_local_mean():
image1 = np.arange(4 * 6).reshape(4, 6)
out1 = downscale_local_mean(image1, (2, 3))
expected1 = np.array([[ 4., 7.],
[ 16., 19.]])
assert_array_equal(expected1, out1)
image2 = np.arange(5 * 8).reshape(5, 8)
out2 = downscale_local_mean(image2, (4, 5))
expected2 = np.array([[ 14. , 10.8],
[ 8.5, 5.7]])
assert_array_equal(expected2, out2)
if __name__ == "__main__":
run_module_suite()