code: def convert_affinematrix_to_homography3d(A: Tensor) -> Tensor:
      r"""Function that converts batch of 3d affine matrices.
  
      Args:
          A: the affine matrix with shape :math:`(B,3,4)`.
  
      Returns:
           the homography matrix with shape of :math:`(B,4,4)`.
  
      Examples:
          >>> A = tensor([[[1., 0., 0., 0.],
          ...                    [0., 1., 0., 0.],
          ...                    [0., 0., 1., 0.]]])
          >>> convert_affinematrix_to_homography3d(A)
          tensor([[[1., 0., 0., 0.],
                   [0., 1., 0., 0.],
                   [0., 0., 1., 0.],
                   [0., 0., 0., 1.]]])
      """
      if not isinstance(A, Tensor):
          raise TypeError(f"Input type is not a Tensor. Got {type(A)}")
  
      if not (len(A.shape) == 3 and A.shape[-2:] == (3, 4)):
          raise ValueError(
              f"Input matrix must be a Bx3x4 tensor. Got {A.shape}"
          )
  
      return _convert_affinematrix_to_homography_impl(A)
  
imports: from __future__ import annotations
  from typing import Optional
  import torch
  import torch.nn.functional
  from kornia.constants import pi
  from kornia.core import Tensor, concatenate, cos, pad, sin, stack, tensor, where, zeros_like
  from kornia.core.check import KORNIA_CHECK, KORNIA_CHECK_SHAPE
  from kornia.utils import deprecated
  from kornia.utils.helpers import _torch_inverse_cast
label_desc: Use image node_id 9 for calling a global function with example usage: convert_affinematrix_to_homography3d(A) and returns: _convert_affinematrix_to_homography_impl