# Copyright 2020 Division of Medical Image Computing, German Cancer Research Center (DKFZ), Heidelberg, Germany # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. import numpy as np from medpy.metric.binary import __surface_distances def normalized_surface_dice(a: np.ndarray, b: np.ndarray, threshold: float, spacing: tuple = None, connectivity=1): """ This implementation differs from the official surface dice implementation! These two are not comparable!!!!! The normalized surface dice is symmetric, so it should not matter whether a or b is the reference image This implementation natively supports 2D and 3D images. Whether other dimensions are supported depends on the __surface_distances implementation in medpy :param a: image 1, must have the same shape as b :param b: image 2, must have the same shape as a :param threshold: distances below this threshold will be counted as true positives. Threshold is in mm, not voxels! (if spacing = (1, 1(, 1)) then one voxel=1mm so the threshold is effectively in voxels) must be a tuple of len dimension(a) :param spacing: how many mm is one voxel in reality? Can be left at None, we then assume an isotropic spacing of 1mm :param connectivity: see scipy.ndimage.generate_binary_structure for more information. I suggest you leave that one alone :return: """ assert all([i == j for i, j in zip(a.shape, b.shape)]), "a and b must have the same shape. a.shape= %s, " \ "b.shape= %s" % (str(a.shape), str(b.shape)) if spacing is None: spacing = tuple([1 for _ in range(len(a.shape))]) a_to_b = __surface_distances(a, b, spacing, connectivity) b_to_a = __surface_distances(b, a, spacing, connectivity) numel_a = len(a_to_b) numel_b = len(b_to_a) tp_a = np.sum(a_to_b <= threshold) / numel_a tp_b = np.sum(b_to_a <= threshold) / numel_b fp = np.sum(a_to_b > threshold) / numel_a fn = np.sum(b_to_a > threshold) / numel_b dc = (tp_a + tp_b) / (tp_a + tp_b + fp + fn + 1e-8) # 1e-8 just so that we don't get div by 0 return dc