import numpy as np from numpy.testing import assert_almost_equal, assert_equal import skimage.transform as tf from skimage.draw import line, circle_perimeter, ellipse_perimeter def append_desc(func, description): """Append the test function ``func`` and append ``description`` to its name. """ func.description = func.__module__ + '.' + func.__name__ + description return func def test_hough_line(): # Generate a test image img = np.zeros((100, 150), dtype=int) rr, cc = line(60, 130, 80, 10) img[rr, cc] = 1 out, angles, d = tf.hough_line(img) y, x = np.where(out == out.max()) dist = d[y[0]] theta = angles[x[0]] assert_almost_equal(dist, 80.723, 1) assert_almost_equal(theta, 1.41, 1) def test_hough_line_angles(): img = np.zeros((10, 10)) img[0, 0] = 1 out, angles, d = tf.hough_line(img, np.linspace(0, 360, 10)) assert_equal(len(angles), 10) def test_probabilistic_hough(): # Generate a test image img = np.zeros((100, 100), dtype=int) for i in range(25, 75): img[100 - i, i] = 100 img[i, i] = 100 # decrease default theta sampling because similar orientations may confuse # as mentioned in article of Galambos et al theta = np.linspace(0, np.pi, 45) lines = tf.probabilistic_hough_line(img, threshold=10, line_length=10, line_gap=1, theta=theta) # sort the lines according to the x-axis sorted_lines = [] for line in lines: line = list(line) line.sort(key=lambda x: x[0]) sorted_lines.append(line) assert([(25, 75), (74, 26)] in sorted_lines) assert([(25, 25), (74, 74)] in sorted_lines) def test_hough_line_peaks(): img = np.zeros((100, 150), dtype=int) rr, cc = line(60, 130, 80, 10) img[rr, cc] = 1 out, angles, d = tf.hough_line(img) out, theta, dist = tf.hough_line_peaks(out, angles, d) assert_equal(len(dist), 1) assert_almost_equal(dist[0], 80.723, 1) assert_almost_equal(theta[0], 1.41, 1) def test_hough_line_peaks_dist(): img = np.zeros((100, 100), dtype=np.bool_) img[:, 30] = True img[:, 40] = True hspace, angles, dists = tf.hough_line(img) assert len(tf.hough_line_peaks(hspace, angles, dists, min_distance=5)[0]) == 2 assert len(tf.hough_line_peaks(hspace, angles, dists, min_distance=15)[0]) == 1 def test_hough_line_peaks_angle(): img = np.zeros((100, 100), dtype=np.bool_) img[:, 0] = True img[0, :] = True hspace, angles, dists = tf.hough_line(img) assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=45)[0]) == 2 assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=90)[0]) == 1 theta = np.linspace(0, np.pi, 100) hspace, angles, dists = tf.hough_line(img, theta) assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=45)[0]) == 2 assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=90)[0]) == 1 theta = np.linspace(np.pi / 3, 4. / 3 * np.pi, 100) hspace, angles, dists = tf.hough_line(img, theta) assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=45)[0]) == 2 assert len(tf.hough_line_peaks(hspace, angles, dists, min_angle=90)[0]) == 1 def test_hough_line_peaks_num(): img = np.zeros((100, 100), dtype=np.bool_) img[:, 30] = True img[:, 40] = True hspace, angles, dists = tf.hough_line(img) assert len(tf.hough_line_peaks(hspace, angles, dists, min_distance=0, min_angle=0, num_peaks=1)[0]) == 1 def test_hough_circle(): # Prepare picture img = np.zeros((120, 100), dtype=int) radius = 20 x_0, y_0 = (99, 50) y, x = circle_perimeter(y_0, x_0, radius) img[x, y] = 1 out = tf.hough_circle(img, np.array([radius], dtype=np.intp)) x, y = np.where(out[0] == out[0].max()) assert_equal(x[0], x_0) assert_equal(y[0], y_0) def test_hough_circle_extended(): # Prepare picture # The circle center is outside the image img = np.zeros((100, 100), dtype=int) radius = 20 x_0, y_0 = (-5, 50) y, x = circle_perimeter(y_0, x_0, radius) img[x[np.where(x > 0)], y[np.where(x > 0)]] = 1 out = tf.hough_circle(img, np.array([radius], dtype=np.intp), full_output=True) x, y = np.where(out[0] == out[0].max()) # Offset for x_0, y_0 assert_equal(x[0], x_0 + radius) assert_equal(y[0], y_0 + radius) def test_hough_ellipse_zero_angle(): img = np.zeros((25, 25), dtype=int) rx = 6 ry = 8 x0 = 12 y0 = 15 angle = 0 rr, cc = ellipse_perimeter(y0, x0, ry, rx) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=9) best = result[-1] assert_equal(best[1], y0) assert_equal(best[2], x0) assert_almost_equal(best[3], ry, decimal=1) assert_almost_equal(best[4], rx, decimal=1) assert_equal(best[5], angle) # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_posangle1(): # ry > rx, angle in [0:pi/2] img = np.zeros((30, 24), dtype=int) rx = 6 ry = 12 x0 = 10 y0 = 15 angle = np.pi / 1.35 rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] assert_almost_equal(best[1] / 100., y0 / 100., decimal=1) assert_almost_equal(best[2] / 100., x0 / 100., decimal=1) assert_almost_equal(best[3] / 10., ry / 10., decimal=1) assert_almost_equal(best[4] / 100., rx / 100., decimal=1) assert_almost_equal(best[5], angle, decimal=1) # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_posangle2(): # ry < rx, angle in [0:pi/2] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = np.pi / 1.35 rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] assert_almost_equal(best[1] / 100., y0 / 100., decimal=1) assert_almost_equal(best[2] / 100., x0 / 100., decimal=1) assert_almost_equal(best[3] / 10., ry / 10., decimal=1) assert_almost_equal(best[4] / 100., rx / 100., decimal=1) assert_almost_equal(best[5], angle, decimal=1) # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_posangle3(): # ry < rx, angle in [pi/2:pi] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = np.pi / 1.35 + np.pi / 2. rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_posangle4(): # ry < rx, angle in [pi:3pi/4] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = np.pi / 1.35 + np.pi rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_negangle1(): # ry > rx, angle in [0:-pi/2] img = np.zeros((30, 24), dtype=int) rx = 6 ry = 12 x0 = 10 y0 = 15 angle = - np.pi / 1.35 rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_negangle2(): # ry < rx, angle in [0:-pi/2] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = - np.pi / 1.35 rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_negangle3(): # ry < rx, angle in [-pi/2:-pi] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = - np.pi / 1.35 - np.pi / 2. rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) def test_hough_ellipse_non_zero_negangle4(): # ry < rx, angle in [-pi:-3pi/4] img = np.zeros((30, 24), dtype=int) rx = 12 ry = 6 x0 = 10 y0 = 15 angle = - np.pi / 1.35 - np.pi rr, cc = ellipse_perimeter(y0, x0, ry, rx, orientation=angle) img[rr, cc] = 1 result = tf.hough_ellipse(img, threshold=15, accuracy=3) result.sort(order='accumulator') best = result[-1] # Check if I re-draw the ellipse, points are the same! # ie check API compatibility between hough_ellipse and ellipse_perimeter rr2, cc2 = ellipse_perimeter(y0, x0, int(best[3]), int(best[4]), orientation=best[5]) assert_equal(rr, rr2) assert_equal(cc, cc2) if __name__ == "__main__": np.testing.run_module_suite()