Fan-beam and cone-beam image reconstruction via filtering the backprojection image of differentiated projection data

In this paper, a new image reconstruction scheme is presented based on Tuy's cone-beam inversion scheme and its fan-beam counterpart. It is demonstrated that Tuy's inversion scheme may be used to derive a new framework for fanbeam and cone-beam image reconstruction. In this new framework,...

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Bibliographic Details
Published in:Physics in medicine & biology 2004-12, Vol.49 (24), p.5489-5503
Main Authors: Zhuang, Tingliang, Leng, Shuai, Nett, Brian E, Chen, Guang-Hong
Format: Article
Language:English
Subjects:
Algorithms
Artificial Intelligence
Brain - diagnostic imaging
Computer Simulation
Humans
Imaging, Three-Dimensional - methods
Information Storage and Retrieval - methods
Models, Biological
Phantoms, Imaging
Radiographic Image Enhancement - methods
Radiographic Image Interpretation, Computer-Assisted - methods
Reproducibility of Results
Sensitivity and Specificity
Tomography, Spiral Computed - methods
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Summary:In this paper, a new image reconstruction scheme is presented based on Tuy's cone-beam inversion scheme and its fan-beam counterpart. It is demonstrated that Tuy's inversion scheme may be used to derive a new framework for fanbeam and cone-beam image reconstruction. In this new framework, images are reconstructed via filtering the backprojection image of differentiated projection data. The new framework is mathematically exact and is applicable to a general source trajectory provided the Tuy data sufficiency condition is satisfied. By choosing a piece-wise constant function for one of the components in the factorized weighting function, the filtering kernel is one dimensional, viz. the filtering process is along a straight line. Thus, the derived image reconstruction algorithm is mathematically exact and efficient. In the cone-beam case, the derived reconstruction algorithm is applicable to a large class of source trajectories where the pi-lines or the generalized pi-lines exist. In addition, the new reconstruction scheme survives the super-short scan mode in both the fan-beam and cone-beam cases provided the data are not transversely truncated. Numerical simulations were conducted to validate the new reconstruction scheme for the fan-beam case.
ISSN:0031-9155
1361-6560
DOI:10.1088/0031-9155/49/24/007