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from __future__ import annotations |
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import warnings |
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import numpy as np |
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import torch |
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import monai |
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from monai.config import NdarrayOrTensor |
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from monai.data.utils import AFFINE_TOL |
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from monai.transforms.utils_pytorch_numpy_unification import allclose |
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from monai.utils import LazyAttr, convert_to_numpy, convert_to_tensor, look_up_option |
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__all__ = ["resample", "combine_transforms"] |
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class Affine: |
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"""A class to represent an affine transform matrix.""" |
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__slots__ = ("data",) |
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def __init__(self, data): |
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self.data = data |
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@staticmethod |
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def is_affine_shaped(data): |
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"""Check if the data is an affine matrix.""" |
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if isinstance(data, Affine): |
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return True |
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if isinstance(data, DisplacementField): |
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return False |
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if not hasattr(data, "shape") or len(data.shape) < 2: |
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return False |
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return data.shape[-1] in (3, 4) and data.shape[-1] == data.shape[-2] |
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class DisplacementField: |
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"""A class to represent a dense displacement field.""" |
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__slots__ = ("data",) |
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def __init__(self, data): |
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self.data = data |
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@staticmethod |
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def is_ddf_shaped(data): |
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"""Check if the data is a DDF.""" |
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if isinstance(data, DisplacementField): |
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return True |
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if isinstance(data, Affine): |
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return False |
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if not hasattr(data, "shape") or len(data.shape) < 3: |
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return False |
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return not Affine.is_affine_shaped(data) |
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def combine_transforms(left: torch.Tensor, right: torch.Tensor) -> torch.Tensor: |
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"""Given transforms A and B to be applied to x, return the combined transform (AB), so that A(B(x)) becomes AB(x)""" |
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if Affine.is_affine_shaped(left) and Affine.is_affine_shaped(right): |
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left = convert_to_tensor(left.data if isinstance(left, Affine) else left, wrap_sequence=True) |
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right = convert_to_tensor(right.data if isinstance(right, Affine) else right, wrap_sequence=True) |
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return torch.matmul(left, right) |
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if DisplacementField.is_ddf_shaped(left) and DisplacementField.is_ddf_shaped( |
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right |
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): |
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left = convert_to_tensor(left.data if isinstance(left, DisplacementField) else left, wrap_sequence=True) |
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right = convert_to_tensor(right.data if isinstance(right, DisplacementField) else right, wrap_sequence=True) |
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return left + right |
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raise NotImplementedError |
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def affine_from_pending(pending_item): |
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"""Extract the affine matrix from a pending transform item.""" |
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if isinstance(pending_item, (torch.Tensor, np.ndarray)): |
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return pending_item |
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if isinstance(pending_item, dict): |
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return pending_item[LazyAttr.AFFINE] |
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return pending_item |
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def kwargs_from_pending(pending_item): |
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"""Extract kwargs from a pending transform item.""" |
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if not isinstance(pending_item, dict): |
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return {} |
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ret = { |
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LazyAttr.INTERP_MODE: pending_item.get(LazyAttr.INTERP_MODE, None), |
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LazyAttr.PADDING_MODE: pending_item.get(LazyAttr.PADDING_MODE, None), |
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} |
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if LazyAttr.SHAPE in pending_item: |
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ret[LazyAttr.SHAPE] = pending_item[LazyAttr.SHAPE] |
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if LazyAttr.DTYPE in pending_item: |
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ret[LazyAttr.DTYPE] = pending_item[LazyAttr.DTYPE] |
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return ret |
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def is_compatible_apply_kwargs(kwargs_1, kwargs_2): |
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"""Check if two sets of kwargs are compatible (to be combined in `apply`).""" |
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return True |
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def requires_interp(matrix, atol=AFFINE_TOL): |
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""" |
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Check whether the transformation matrix suggests voxel-wise interpolation. |
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Returns None if the affine matrix suggests interpolation. |
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Otherwise, the matrix suggests that the resampling could be achieved by simple array operations |
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such as flip/permute/pad_nd/slice; in this case this function returns axes information about simple axes |
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operations. |
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Args: |
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matrix: the affine matrix to check. |
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atol: absolute tolerance for checking if the matrix is close to an integer. |
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""" |
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matrix = convert_to_numpy(matrix, wrap_sequence=True) |
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s = matrix[:, -1] |
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if not np.allclose(s, np.round(s), atol=atol): |
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return None |
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ndim = len(matrix) - 1 |
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ox, oy = [], [0] |
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for x, r in enumerate(matrix[:ndim, :ndim]): |
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for y, c in enumerate(r): |
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if np.isclose(c, -1, atol=atol) or np.isclose(c, 1, atol=atol): |
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y_channel = y + 1 |
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if x in ox or y_channel in oy: |
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return None |
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ox.append(x) |
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oy.append(y_channel) |
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elif not np.isclose(c, 0.0, atol=atol): |
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return None |
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return oy |
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__override_lazy_keywords = {*list(LazyAttr), "atol"} |
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def resample(data: torch.Tensor, matrix: NdarrayOrTensor, kwargs: dict | None = None): |
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""" |
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Resample `data` using the affine transformation defined by ``matrix``. |
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Args: |
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data: input data to be resampled. |
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matrix: affine transformation matrix. |
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kwargs: currently supports (see also: ``monai.utils.enums.LazyAttr``) |
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- "lazy_shape" for output spatial shape |
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- "lazy_padding_mode" |
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- "lazy_interpolation_mode" (this option might be ignored when ``mode="auto"``.) |
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- "lazy_align_corners" |
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- "lazy_dtype" (dtype for resampling computation; this might be ignored when ``mode="auto"``.) |
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- "atol" for tolerance for matrix floating point comparison. |
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- "lazy_resample_mode" for resampling backend, default to `"auto"`. Setting to other values will use the |
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`monai.transforms.SpatialResample` for resampling. |
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See Also: |
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:py:class:`monai.transforms.SpatialResample` |
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""" |
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if not Affine.is_affine_shaped(matrix): |
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raise NotImplementedError(f"Calling the dense grid resample API directly not implemented, {matrix.shape}.") |
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if isinstance(data, monai.data.MetaTensor) and data.pending_operations: |
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warnings.warn("data.pending_operations is not empty, the resampling output may be incorrect.") |
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kwargs = kwargs or {} |
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for k in kwargs: |
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look_up_option(k, __override_lazy_keywords) |
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atol = kwargs.get("atol", AFFINE_TOL) |
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mode = kwargs.get(LazyAttr.RESAMPLE_MODE, "auto") |
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init_kwargs = { |
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"dtype": kwargs.get(LazyAttr.DTYPE, data.dtype), |
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"align_corners": kwargs.get(LazyAttr.ALIGN_CORNERS, False), |
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} |
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ndim = len(matrix) - 1 |
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img = convert_to_tensor(data=data, track_meta=monai.data.get_track_meta()) |
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init_affine = monai.data.to_affine_nd(ndim, img.affine) |
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spatial_size = kwargs.get(LazyAttr.SHAPE, None) |
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out_spatial_size = img.peek_pending_shape() if spatial_size is None else spatial_size |
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out_spatial_size = convert_to_numpy(out_spatial_size, wrap_sequence=True) |
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call_kwargs = { |
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"spatial_size": out_spatial_size, |
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"dst_affine": init_affine @ monai.utils.convert_to_dst_type(matrix, init_affine)[0], |
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"mode": kwargs.get(LazyAttr.INTERP_MODE), |
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"padding_mode": kwargs.get(LazyAttr.PADDING_MODE), |
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} |
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axes = requires_interp(matrix, atol=atol) |
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if axes is not None and mode == "auto" and not init_kwargs["align_corners"]: |
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matrix_np = np.round(convert_to_numpy(matrix, wrap_sequence=True)) |
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full_transpose = np.argsort(axes).tolist() |
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if not np.allclose(full_transpose, np.arange(len(full_transpose))): |
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img = img.permute(full_transpose[: len(img.shape)]) |
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in_shape = img.shape[1 : ndim + 1] |
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matrix_np[:ndim] = matrix_np[[x - 1 for x in full_transpose[1:]]] |
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flip = [idx + 1 for idx, val in enumerate(matrix_np[:ndim]) if val[idx] == -1] |
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if flip: |
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img = torch.flip(img, dims=flip) |
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for f in flip: |
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ind_f = f - 1 |
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matrix_np[ind_f, ind_f] = 1 |
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matrix_np[ind_f, -1] = in_shape[ind_f] - 1 - matrix_np[ind_f, -1] |
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if not np.all(out_spatial_size > 0): |
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raise ValueError(f"Resampling out_spatial_size should be positive, got {out_spatial_size}.") |
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if ( |
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allclose(matrix_np, np.eye(len(matrix_np)), atol=atol) |
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and len(in_shape) == len(out_spatial_size) |
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and allclose(convert_to_numpy(in_shape, wrap_sequence=True), out_spatial_size) |
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): |
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img.affine = call_kwargs["dst_affine"] |
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img = img.to(torch.float32) |
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return img |
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img = monai.transforms.crop_or_pad_nd(img, matrix_np, out_spatial_size, mode=call_kwargs["padding_mode"]) |
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img = img.to(torch.float32) |
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img.affine = call_kwargs["dst_affine"] |
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return img |
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resampler = monai.transforms.SpatialResample(**init_kwargs) |
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resampler.lazy = False |
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with resampler.trace_transform(False): |
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return resampler(img=img, **call_kwargs) |
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