Source code for embodichain.compute.geometry.transforms

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"""Batched affine bounding-box transforms implemented with Torch tensors."""

from __future__ import annotations

import torch

from .aabb import _bounds_tensor, _float_tensor, _same_type, _valid_bounds

__all__ = ["transform_aabbs"]


[docs] def transform_aabbs(bounds: torch.Tensor, transforms: torch.Tensor) -> torch.Tensor: """Compute exact axis-aligned bounds of affine-transformed input boxes. Args: bounds: Minimum/maximum corners, shaped ``(..., 2, 3)``. transforms: Broadcastable affine transforms, shaped ``(..., 4, 4)``. Rotation, nonuniform scale, shear and reflection are supported. Returns: Transformed minimum/maximum corners in the broadcast batch shape, preserving input dtype and device. Nonfinite/reversed boxes, nonfinite transforms, non-affine last rows and unrepresentable results produce all-NaN boxes using device-side masks. No rigid-transform policy is applied, and no tensor value is copied to the host. """ _bounds_tensor(bounds, "bounds") _float_tensor(transforms, "transforms") _same_type(bounds, transforms) if bounds.shape[-1] != 3 or transforms.ndim < 2 or transforms.shape[-2:] != (4, 4): raise ValueError("Expected bounds (..., 2, 3) and transforms (..., 4, 4)") torch.broadcast_shapes(bounds.shape[:-2], transforms.shape[:-2]) # Halve first to avoid overflow when same-sign endpoints are near dtype max. center = bounds[..., 0, :] * 0.5 + bounds[..., 1, :] * 0.5 half = bounds[..., 1, :] * 0.5 - bounds[..., 0, :] * 0.5 linear = transforms[..., :3, :3] new_center = (linear @ center[..., None]).squeeze(-1) + transforms[..., :3, 3] new_half = (linear.abs() @ half[..., None]).squeeze(-1) result = torch.stack((new_center - new_half, new_center + new_half), dim=-2) valid = _valid_bounds(bounds) & torch.isfinite(transforms).all(dim=(-2, -1)) valid = ( valid & (transforms[..., 3, :3] == 0).all(dim=-1) & (transforms[..., 3, 3] == 1) ) valid = valid & torch.isfinite(result).all(dim=(-2, -1)) return torch.where(valid[..., None, None], result, float("nan"))