# coding: utf-8 # /*########################################################################## # Copyright (C) 2016 European Synchrotron Radiation Facility # # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal # in the Software without restriction, including without limitation the rights # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell # copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included in # all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN # THE SOFTWARE. # # ############################################################################*/ """Tests of the marchingcubes module""" from __future__ import division __authors__ = ["T. Vincent"] __license__ = "MIT" __date__ = "17/01/2018" import unittest import numpy from silx.utils.testutils import ParametricTestCase from silx.math import marchingcubes class TestMarchingCubes(ParametricTestCase): """Tests of marching cubes""" def assertAllClose(self, array1, array2, msg=None, rtol=1e-05, atol=1e-08): """Assert that the 2 numpy.ndarrays are almost equal. :param str msg: Message to provide when assert fails :param float rtol: Relative tolerance, see :func:`numpy.allclose` :param float atol: Absolute tolerance, see :func:`numpy.allclose` """ if not numpy.allclose(array1, array2, rtol, atol): raise self.failureException(msg) def test_cube(self): """Unit tests with a single cube""" # No isosurface cube_zero = numpy.zeros((2, 2, 2), dtype=numpy.float32) result = marchingcubes.MarchingCubes(cube_zero, 1.) self.assertEqual(result.shape, cube_zero.shape) self.assertEqual(result.isolevel, 1.) self.assertEqual(result.invert_normals, True) vertices, normals, indices = result self.assertEqual(len(vertices), 0) self.assertEqual(len(normals), 0) self.assertEqual(len(indices), 0) # Cube array dimensions: shape = (dim 0, dim 1, dim2) # # dim 0 (Z) # ^ # | # 4 +------+ 5 # /| /| # / | / | # 6 +------+ 7| # | | | | # |0 +---|--+ 1 -> dim 2 (X) # | / | / # |/ |/ # 2 +------+ 3 # / # dim 1 (Y) # isosurface perpendicular to dim 0 (Z) cube = numpy.array( (((0., 0.), (0., 0.)), ((1., 1.), (1., 1.))), dtype=numpy.float32) level = 0.5 vertices, normals, indices = marchingcubes.MarchingCubes( cube, level, invert_normals=False) self.assertAllClose(vertices[:, 0], level) self.assertAllClose(normals, (1., 0., 0.)) self.assertEqual(len(indices), 2) # isosurface perpendicular to dim 1 (Y) cube = numpy.array( (((0., 0.), (1., 1.)), ((0., 0.), (1., 1.))), dtype=numpy.float32) level = 0.2 vertices, normals, indices = marchingcubes.MarchingCubes(cube, level) self.assertAllClose(vertices[:, 1], level) self.assertAllClose(normals, (0., -1., 0.)) self.assertEqual(len(indices), 2) # isosurface perpendicular to dim 2 (X) cube = numpy.array( (((0., 1.), (0., 1.)), ((0., 1.), (0., 1.))), dtype=numpy.float32) level = 0.9 vertices, normals, indices = marchingcubes.MarchingCubes( cube, level, invert_normals=False) self.assertAllClose(vertices[:, 2], level) self.assertAllClose(normals, (0., 0., 1.)) self.assertEqual(len(indices), 2) # isosurface normal in dim1, dim 0 (Y, Z) plane cube = numpy.array( (((0., 0.), (0., 0.)), ((0., 0.), (1., 1.))), dtype=numpy.float32) level = 0.5 vertices, normals, indices = marchingcubes.MarchingCubes(cube, level) self.assertAllClose(normals[:, 2], 0.) self.assertEqual(len(indices), 2) def test_sampling(self): """Test different sampling, comparing to reference without sampling""" isolevel = 0.5 size = 9 chessboard = numpy.zeros((size, size, size), dtype=numpy.float32) chessboard.reshape(-1)[::2] = 1 # OK as long as dimensions are odd ref_result = marchingcubes.MarchingCubes(chessboard, isolevel) samplings = [ (2, 1, 1), (1, 2, 1), (1, 1, 2), (2, 2, 2), (3, 3, 3), (1, 3, 1), (1, 1, 3), ] for sampling in samplings: with self.subTest(sampling=sampling): sampling = numpy.array(sampling) data = 1e6 * numpy.ones( sampling * size, dtype=numpy.float32) # Copy ref chessboard in data according to sampling data[::sampling[0], ::sampling[1], ::sampling[2]] = chessboard result = marchingcubes.MarchingCubes(data, isolevel, sampling=sampling) # Compare vertices normalized with shape self.assertAllClose( ref_result.get_vertices() / ref_result.shape, result.get_vertices() / result.shape, atol=0., rtol=0.) # Compare normals # This comparison only works for normals aligned with axes # otherwise non uniform sampling would make different normals self.assertAllClose(ref_result.get_normals(), result.get_normals(), atol=0., rtol=0.) self.assertAllClose(ref_result.get_indices(), result.get_indices(), atol=0., rtol=0.) test_cases = (TestMarchingCubes,) def suite(): test_suite = unittest.TestSuite() for test_class in test_cases: test_suite.addTests( unittest.defaultTestLoader.loadTestsFromTestCase(test_class)) return test_suite if __name__ == '__main__': unittest.main(defaultTest="suite")