pytomography.projectors.shared.kem_system_matrix
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Module Contents#
Classes#
Given a KEM transform \(K\) and a system matrix \(H\), implements the transform \(HK\) (and backward transform \(K^T H^T\)) |
- class pytomography.projectors.shared.kem_system_matrix.KEMSystemMatrix(system_matrix, kem_transform)[source]#
Bases:
pytomography.projectors.system_matrix.SystemMatrix
Given a KEM transform \(K\) and a system matrix \(H\), implements the transform \(HK\) (and backward transform \(K^T H^T\))
- Parameters:
system_matrix (SystemMatrix) – System matrix corresponding to a particular imaging system
kem_transform (KEMTransform) – Transform used to go from coefficient image to real image of predicted counts.
- forward(object, angle_subset=None)[source]#
Forward transform \(HK\)
- Parameters:
object (torch.tensor) – Object to be forward projected
angle_subset (Sequence, optional) – Angles to forward projected; if none, project to all angles. Defaults to None.
- Returns:
Corresponding projections generated from forward projection
- Return type:
torch.tensor
- backward(proj, angle_subset=None, return_norm_constant=False)[source]#
Backward transform \(K^T H^T\)
- Parameters:
proj (torch.tensor) – Projection data to be back projected
angle_subset (Sequence, optional) – Angles corresponding to projections; if none, then all projections from
self.proj_meta
are contained. Defaults to None.return_norm_constant (bool, optional) – Additionally returns \(K^T H^T 1\) if true; defaults to False.
- Returns:
Corresponding object generated from back projection.
- Return type:
torch.tensor