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from __future__ import annotations |
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import torch |
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import torch.nn.functional as F |
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from torch.nn.modules.loss import _Loss |
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def soft_erode(img: torch.Tensor) -> torch.Tensor: |
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""" |
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Perform soft erosion on the input image |
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Args: |
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img: the shape should be BCH(WD) |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/soft_skeleton.py#L6 |
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""" |
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if len(img.shape) == 4: |
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p1 = -(F.max_pool2d(-img, (3, 1), (1, 1), (1, 0))) |
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p2 = -(F.max_pool2d(-img, (1, 3), (1, 1), (0, 1))) |
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return torch.min(p1, p2) |
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elif len(img.shape) == 5: |
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p1 = -(F.max_pool3d(-img, (3, 1, 1), (1, 1, 1), (1, 0, 0))) |
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p2 = -(F.max_pool3d(-img, (1, 3, 1), (1, 1, 1), (0, 1, 0))) |
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p3 = -(F.max_pool3d(-img, (1, 1, 3), (1, 1, 1), (0, 0, 1))) |
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return torch.min(torch.min(p1, p2), p3) |
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def soft_dilate(img: torch.Tensor) -> torch.Tensor: |
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""" |
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Perform soft dilation on the input image |
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Args: |
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img: the shape should be BCH(WD) |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/soft_skeleton.py#L18 |
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""" |
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if len(img.shape) == 4: |
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return F.max_pool2d(img, (3, 3), (1, 1), (1, 1)) |
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elif len(img.shape) == 5: |
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return F.max_pool3d(img, (3, 3, 3), (1, 1, 1), (1, 1, 1)) |
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def soft_open(img: torch.Tensor) -> torch.Tensor: |
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""" |
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Wrapper function to perform soft opening on the input image |
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Args: |
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img: the shape should be BCH(WD) |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/soft_skeleton.py#L25 |
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""" |
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eroded_image = soft_erode(img) |
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dilated_image = soft_dilate(eroded_image) |
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return dilated_image |
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def soft_skel(img: torch.Tensor, iter_: int) -> torch.Tensor: |
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""" |
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Perform soft skeletonization on the input image |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/soft_skeleton.py#L29 |
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Args: |
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img: the shape should be BCH(WD) |
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iter_: number of iterations for skeletonization |
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Returns: |
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skeletonized image |
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""" |
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img1 = soft_open(img) |
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skel = F.relu(img - img1) |
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for _ in range(iter_): |
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img = soft_erode(img) |
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img1 = soft_open(img) |
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delta = F.relu(img - img1) |
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skel = skel + F.relu(delta - skel * delta) |
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return skel |
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def soft_dice(y_true: torch.Tensor, y_pred: torch.Tensor, smooth: float = 1.0) -> torch.Tensor: |
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""" |
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Function to compute soft dice loss |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/cldice.py#L22 |
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Args: |
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y_true: the shape should be BCH(WD) |
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y_pred: the shape should be BCH(WD) |
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Returns: |
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dice loss |
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""" |
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intersection = torch.sum((y_true * y_pred)[:, 1:, ...]) |
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coeff = (2.0 * intersection + smooth) / (torch.sum(y_true[:, 1:, ...]) + torch.sum(y_pred[:, 1:, ...]) + smooth) |
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soft_dice: torch.Tensor = 1.0 - coeff |
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return soft_dice |
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class SoftclDiceLoss(_Loss): |
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""" |
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Compute the Soft clDice loss defined in: |
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Shit et al. (2021) clDice -- A Novel Topology-Preserving Loss Function |
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for Tubular Structure Segmentation. (https://arxiv.org/abs/2003.07311) |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/cldice.py#L7 |
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""" |
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def __init__(self, iter_: int = 3, smooth: float = 1.0) -> None: |
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""" |
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Args: |
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iter_: Number of iterations for skeletonization |
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smooth: Smoothing parameter |
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""" |
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super().__init__() |
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self.iter = iter_ |
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self.smooth = smooth |
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def forward(self, y_true: torch.Tensor, y_pred: torch.Tensor) -> torch.Tensor: |
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skel_pred = soft_skel(y_pred, self.iter) |
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skel_true = soft_skel(y_true, self.iter) |
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tprec = (torch.sum(torch.multiply(skel_pred, y_true)[:, 1:, ...]) + self.smooth) / ( |
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torch.sum(skel_pred[:, 1:, ...]) + self.smooth |
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) |
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tsens = (torch.sum(torch.multiply(skel_true, y_pred)[:, 1:, ...]) + self.smooth) / ( |
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torch.sum(skel_true[:, 1:, ...]) + self.smooth |
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) |
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cl_dice: torch.Tensor = 1.0 - 2.0 * (tprec * tsens) / (tprec + tsens) |
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return cl_dice |
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class SoftDiceclDiceLoss(_Loss): |
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""" |
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Compute the Soft clDice loss defined in: |
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Shit et al. (2021) clDice -- A Novel Topology-Preserving Loss Function |
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for Tubular Structure Segmentation. (https://arxiv.org/abs/2003.07311) |
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Adapted from: |
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https://github.com/jocpae/clDice/blob/master/cldice_loss/pytorch/cldice.py#L38 |
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""" |
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def __init__(self, iter_: int = 3, alpha: float = 0.5, smooth: float = 1.0) -> None: |
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""" |
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Args: |
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iter_: Number of iterations for skeletonization |
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smooth: Smoothing parameter |
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alpha: Weighing factor for cldice |
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""" |
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super().__init__() |
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self.iter = iter_ |
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self.smooth = smooth |
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self.alpha = alpha |
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def forward(self, y_true: torch.Tensor, y_pred: torch.Tensor) -> torch.Tensor: |
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dice = soft_dice(y_true, y_pred, self.smooth) |
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skel_pred = soft_skel(y_pred, self.iter) |
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skel_true = soft_skel(y_true, self.iter) |
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tprec = (torch.sum(torch.multiply(skel_pred, y_true)[:, 1:, ...]) + self.smooth) / ( |
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torch.sum(skel_pred[:, 1:, ...]) + self.smooth |
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) |
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tsens = (torch.sum(torch.multiply(skel_true, y_pred)[:, 1:, ...]) + self.smooth) / ( |
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torch.sum(skel_true[:, 1:, ...]) + self.smooth |
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) |
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cl_dice = 1.0 - 2.0 * (tprec * tsens) / (tprec + tsens) |
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total_loss: torch.Tensor = (1.0 - self.alpha) * dice + self.alpha * cl_dice |
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return total_loss |
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