Journal article
Studies on Palamodov's algorithm for cone-beam CT along a general curve
Inverse Problems, Vol.22(2), pp.447-460
2006
DOI: 10.1088/0266-5611/22/2/004
Abstract
Inspired by Katsevich's exact helical cone-beam formula, Palamodov made the first attempt to perform exact image reconstruction from cone-beam data collected along a general scanning trajectory [1]. In contrast to the well-known general exact cone-beam reconstruction schemes formulated by Tuy, Smith, Grangeat and Katsevich, respectively, Palamodov's algorithm was intended to work with truncated data and without the need to specify any weighting function. In this paper, after reformulating Palamodov's formula and comparing it with Katsevich's helical cone-beam formula, we find that Palamodov's algorithm is not theoretically exact due to an inaccurate estimate. Then, we numerically implement it using a planar detector array and simulate the case of cone-beam CT with a nonstandard saddle curve as the scanning trajectory. The reconstruction results suggest that Palamodov's algorithm is an attractive algorithm for approximate cone-beam reconstruction in the case of general cone-beam scanning.
Details
- Title: Subtitle
- Studies on Palamodov's algorithm for cone-beam CT along a general curve
- Creators
- Hengyong YuYangbo YeGe WangShiying Zhao
- Resource Type
- Journal article
- Publication Details
- Inverse Problems, Vol.22(2), pp.447-460
- DOI
- 10.1088/0266-5611/22/2/004
- ISSN
- 0266-5611
- eISSN
- 1361-6420
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985933002771
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