# Source code for monai.metrics.surface_distance

```
# Copyright 2020 - 2021 MONAI Consortium
# 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 warnings
from typing import Union
import numpy as np
import torch
from monai.metrics.utils import do_metric_reduction, get_mask_edges, get_surface_distance, ignore_background
from monai.utils import MetricReduction
[docs]class SurfaceDistanceMetric:
"""
Compute Surface Distance between two tensors. It can support both multi-classes and multi-labels tasks.
It supports both symmetric and asymmetric surface distance calculation.
Input `y_pred` (BNHW[D] where N is number of classes) is compared with ground truth `y` (BNHW[D]).
`y_preds` is expected to have binarized predictions and `y` should be in one-hot format.
You can use suitable transforms in ``monai.transforms.post`` first to achieve binarized values.
Args:
include_background: whether to skip distance computation on the first channel of
the predicted output. Defaults to ``False``.
symmetric: whether to calculate the symmetric average surface distance between
`seg_pred` and `seg_gt`. Defaults to ``False``.
distance_metric: : [``"euclidean"``, ``"chessboard"``, ``"taxicab"``]
the metric used to compute surface distance. Defaults to ``"euclidean"``.
reduction: {``"none"``, ``"mean"``, ``"sum"``, ``"mean_batch"``, ``"sum_batch"``,
``"mean_channel"``, ``"sum_channel"``}
Define the mode to reduce computation result of 1 batch data. Defaults to ``"mean"``.
"""
def __init__(
self,
include_background: bool = False,
symmetric: bool = False,
distance_metric: str = "euclidean",
reduction: Union[MetricReduction, str] = MetricReduction.MEAN,
) -> None:
super().__init__()
self.include_background = include_background
self.distance_metric = distance_metric
self.symmetric = symmetric
self.reduction = reduction
def __call__(self, y_pred: torch.Tensor, y: torch.Tensor):
"""
Args:
y_pred: input data to compute, typical segmentation model output.
It must be one-hot format and first dim is batch, example shape: [16, 3, 32, 32]. The values
should be binarized.
y: ground truth to compute the distance. It must be one-hot format and first dim is batch.
The values should be binarized.
Raises:
ValueError: when `y` is not a binarized tensor.
ValueError: when `y_pred` has less than three dimensions.
"""
if not torch.all(y_pred.byte() == y_pred):
warnings.warn("y_pred is not a binarized tensor here!")
if not torch.all(y.byte() == y):
raise ValueError("y should be a binarized tensor.")
dims = y_pred.ndimension()
if dims < 3:
raise ValueError("y_pred should have at least three dimensions.")
# compute (BxC) for each channel for each batch
f = compute_average_surface_distance(
y_pred=y_pred,
y=y,
include_background=self.include_background,
symmetric=self.symmetric,
distance_metric=self.distance_metric,
)
# do metric reduction
f, not_nans = do_metric_reduction(f, self.reduction)
return f, not_nans
[docs]def compute_average_surface_distance(
y_pred: Union[np.ndarray, torch.Tensor],
y: Union[np.ndarray, torch.Tensor],
include_background: bool = False,
symmetric: bool = False,
distance_metric: str = "euclidean",
):
"""
This function is used to compute the Average Surface Distance from `y_pred` to `y`
under the default setting.
In addition, if sets ``symmetric = True``, the average symmetric surface distance between
these two inputs will be returned.
Args:
y_pred: input data to compute, typical segmentation model output.
It must be one-hot format and first dim is batch, example shape: [16, 3, 32, 32]. The values
should be binarized.
y: ground truth to compute mean the distance. It must be one-hot format and first dim is batch.
The values should be binarized.
include_background: whether to skip distance computation on the first channel of
the predicted output. Defaults to ``False``.
symmetric: whether to calculate the symmetric average surface distance between
`seg_pred` and `seg_gt`. Defaults to ``False``.
distance_metric: : [``"euclidean"``, ``"chessboard"``, ``"taxicab"``]
the metric used to compute surface distance. Defaults to ``"euclidean"``.
"""
if not include_background:
y_pred, y = ignore_background(
y_pred=y_pred,
y=y,
)
y = y.float()
y_pred = y_pred.float()
if y.shape != y_pred.shape:
raise ValueError("y_pred and y should have same shapes.")
batch_size, n_class = y_pred.shape[:2]
asd = np.empty((batch_size, n_class))
for b, c in np.ndindex(batch_size, n_class):
(edges_pred, edges_gt) = get_mask_edges(y_pred[b, c], y[b, c])
surface_distance = get_surface_distance(edges_pred, edges_gt, distance_metric=distance_metric)
if surface_distance.shape == (0,):
avg_surface_distance = np.nan
else:
avg_surface_distance = surface_distance.mean()
if not symmetric:
asd[b, c] = avg_surface_distance
else:
surface_distance_2 = get_surface_distance(edges_gt, edges_pred, distance_metric=distance_metric)
if surface_distance_2.shape == (0,):
avg_surface_distance_2 = np.nan
else:
avg_surface_distance_2 = surface_distance_2.mean()
asd[b, c] = np.mean((avg_surface_distance, avg_surface_distance_2))
return torch.from_numpy(asd)
```