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# Copyright 2021 Huawei Technologies Co., Ltd |
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# |
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# Licensed under the Apache License, Version 2.0 (the "License"); |
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# you may not use this file except in compliance with the License. |
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# You may obtain a copy of the License at |
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# |
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# http://www.apache.org/licenses/LICENSE-2.0 |
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# |
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# Unless required by applicable law or agreed to in writing, software |
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# distributed under the License is distributed on an "AS IS" BASIS, |
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
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# See the License for the specific language governing permissions and |
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# limitations under the License. |
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# ============================================================================ |
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"""Dice""" |
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import numpy as np |
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from mindspore._checkparam import Validator as validator |
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from .metric import Metric |
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class Dice(Metric): |
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r""" |
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The Dice coefficient is a set similarity metric. It is used to calculate the similarity between two samples. The |
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value of the Dice coefficient is 1 when the segmentation result is the best and 0 when the segmentation result |
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is the worst. The Dice coefficient indicates the ratio of the area between two objects to the total area. |
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The function is shown as follows: |
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.. math:: |
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\text{dice} = \frac{2 * (\text{pred} \bigcap \text{true})}{\text{pred} \bigcup \text{true}} |
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Args: |
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smooth (float): A term added to the denominator to improve numerical stability. Should be greater than 0. |
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Default: 1e-5. |
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threshold (float): A threshold, which is used to compare with the input tensor. Default: 0.5. |
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Examples: |
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>>> x = Tensor(np.array([[0.2, 0.5], [0.3, 0.1], [0.9, 0.6]])) |
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>>> y = Tensor(np.array([[0, 1], [1, 0], [0, 1]])) |
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>>> metric = Dice(smooth=1e-5, threshold=0.5) |
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>>> metric.clear() |
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>>> metric.update(x, y) |
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>>> dice = metric.eval() |
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0.22222926 |
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""" |
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def __init__(self, smooth=1e-5, threshold=0.5): |
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super(Dice, self).__init__() |
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self.smooth = validator.check_positive_float(smooth, "smooth") |
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self.threshold = validator.check_value_type("threshold", threshold, [float]) |
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self.clear() |
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def clear(self): |
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"""Clears the internal evaluation result.""" |
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self._dim = 0 |
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self.intersection = 0 |
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self.unionset = 0 |
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def update(self, *inputs): |
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""" |
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Updates the internal evaluation result :math:`y_{pred}` and :math:`y`. |
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Args: |
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inputs: Input `y_pred` and `y`. `y_pred` and `y` are Tensor, list or numpy.ndarray. `y_pred` is the |
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predicted value, `y` is the true value. The shape of `y_pred` and `y` are both :math:`(N, C)`. |
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Raises: |
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ValueError: If the number of the inputs is not 2. |
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""" |
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if len(inputs) != 2: |
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raise ValueError('Dice need 2 inputs (y_pred, y), but got {}'.format(len(inputs))) |
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y_pred = self._convert_data(inputs[0]) |
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y = self._convert_data(inputs[1]) |
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if y_pred.shape != y.shape: |
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raise RuntimeError('y_pred and y should have same the dimension, but the shape of y_pred is{}, ' |
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'the shape of y is {}.'.format(y_pred.shape, y.shape)) |
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y_pred = (y_pred > self.threshold).astype(int) |
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self._dim = y.shape |
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pred_flat = np.reshape(y_pred, (self._dim[0], -1)) |
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true_flat = np.reshape(y, (self._dim[0], -1)) |
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self.intersection = np.sum((pred_flat * true_flat), axis=1) |
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self.unionset = np.sum(pred_flat, axis=1) + np.sum(true_flat, axis=1) |
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def eval(self): |
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r""" |
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Computes the Dice. |
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Returns: |
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Float, the computed result. |
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Raises: |
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RuntimeError: If the sample size is 0. |
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""" |
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if self._dim[0] == 0: |
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raise RuntimeError('Dice can not be calculated, because the number of samples is 0.') |
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dice = (2 * self.intersection + self.smooth) / (self.unionset + self.smooth) |
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return np.sum(dice) / self._dim[0] |