Abstract
In a dynamic CT, the acquired projections are corrupted due to strong dynamic nature of the object, for example: lungs, heart etc. In this paper, we present fan-beam reconstruction algorithm without position-dependent backprojection weight which compensates for the time-dependent translational, uniform scaling and rotational deformations occurring in the object of interest during the data acquisition process. We shall also compare the computational cost of the proposed reconstruction algorithm with the existing one which has position-dependent weight. To accomplish the objective listed above, we first formulate admissibility conditions on deformations that is required to exactly reconstruct the object from acquired sequential deformed projections and then derive the reconstruction algorithm to compensate the above listed deformations satisfying the admissibility conditions. For this, 2-D time-dependent deformation model is incorporated in the fan-beam FBP reconstruction algorithm with no backprojection weight, assuming the motion parameters being known. Finally the proposed reconstruction algorithm is evaluated with the motion corrupted projection data simulated on the computer.
Highlights
The object of interest being imaged may be dynamic in nature, it is very important to develop algorithms and techniques to compensate the motion artefacts in tomographic imaging
We reduce the computational cost of the fan-beam FBP reconstruction formula for a 2-D dynamic CT proposed by Roux. et al, by eliminating the position-dependent back-projection weight, by choosing the weighting function similar to the one proposed in [13] for compensating time-dependent rotational, uniform scaling and translational deformations
Since the static formula is convoyed with a position dependent back-projection weight, the affine deformation compensation formula for dynamic CT is computationally expensive due to the back-brojection weight inhereted from formula given in [11]
Summary
The object of interest being imaged may be dynamic in nature, it is very important to develop algorithms and techniques to compensate the motion artefacts in tomographic imaging. Formed projections; involving parameters of the virtual acquisition geometry but the aforementioned reconstruction formula is convoyed with a position-dependent backprojection weight. Since large amount of data needs be processed in dynamic studies, the implementation of the FBP formula for dynamic CT proposed by Roux et al [10] will consume more time than it’s counterpart (static case). The solution to eliminate the position-dependent back-projection weight in the fan-beam FBP formula, proposed by Noo. et al [11] inspired by [12] in a static 2-D CT was given in [13]. We reduce the computational cost of the fan-beam FBP reconstruction formula for a 2-D dynamic CT proposed by Roux. Et al, by eliminating the position-dependent back-projection weight, by choosing the weighting function similar to the one proposed in [13] for compensating time-dependent rotational, uniform scaling and translational deformations.
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