class_docstr: Compute the logarithm of the Hausdorff Distance Transform Loss.
  
  This class computes the logarithm of the Hausdorff Distance Transform Loss, which is based on the distance transform.
  The logarithm is computed to potentially stabilize and scale the loss values, especially when the original loss
  values are very small.
  
  The formula for the loss is given by:
      log_loss = log(HausdorffDTLoss + 1)
  
  Inherits from the HausdorffDTLoss class to utilize its distance transform computation.
docstr: Compute the logarithm of the Hausdorff Distance Transform Loss.
  
  Args:
      input (torch.Tensor): The shape should be BNHW[D], where N is the number of classes.
      target (torch.Tensor): The shape should be BNHW[D] or B1HW[D], where N is the number of classes.
  
  Returns:
      torch.Tensor: The computed Log Hausdorff Distance Transform Loss for the given input and target.
  
  Raises:
      Any exceptions raised by the parent class HausdorffDTLoss.
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code: def forward(
      self, input: torch.Tensor, target: torch.Tensor
  ) -> torch.Tensor:
      """
      Compute the logarithm of the Hausdorff Distance Transform Loss.
  
      Args:
          input (torch.Tensor): The shape should be BNHW[D], where N is the number of classes.
          target (torch.Tensor): The shape should be BNHW[D] or B1HW[D], where N is the number of classes.
  
      Returns:
          torch.Tensor: The computed Log Hausdorff Distance Transform Loss for the given input and target.
  
      Raises:
          Any exceptions raised by the parent class HausdorffDTLoss.
      """
      log_loss: torch.Tensor = torch.log(
          super().forward(input, target) + 1
      )
      return log_loss
  
file_path: MONAI/monai/losses/hausdorff_loss.py
imports: from __future__ import annotations
  import warnings
  from typing import Callable
  import torch
  from torch.nn.modules.loss import _Loss
  from monai.networks import one_hot
  from monai.transforms.utils import distance_transform_edt
  from monai.utils import LossReduction
label_desc: Use image node_id 1 for calling the LogHausdorffDTLoss obj's underlying member method code with example usage: obj.forward(input, target) and returns: log_loss