from numpy.testing import (assert_array_almost_equal, run_module_suite, assert_array_equal, assert_raises) 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 np.random.seed(0) 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) def test_invalid(): assert_raises(ValueError, warp, np.ones((4, )), SimilarityTransform()) assert_raises(ValueError, warp, np.ones((4, 3, 3, 3)), SimilarityTransform()) def test_inverse(): tform = SimilarityTransform(scale=0.5, rotation=0.1) inverse_tform = SimilarityTransform(matrix=np.linalg.inv(tform.params)) image = np.arange(10 * 10).reshape(10, 10).astype(np.double) assert_array_equal(warp(image, inverse_tform), warp(image, tform.inverse)) def test_slow_warp_nonint_oshape(): image = np.random.rand(5, 5) assert_raises(ValueError, warp, image, lambda xy: xy, output_shape=(13.1, 19.5)) warp(image, lambda xy: xy, output_shape=(13.0001, 19.9999)) if __name__ == "__main__": run_module_suite()