Katsevich-type algorithims for variable radius spiral cone-beam CT

Hengyong Yu; Yangbo Ye; Ge Wang

doi:10.1117/12.559300

26 October 2004 Katsevich-type algorithms for variable radius spiral cone-beam CT

Hengyong Yu, Yangbo Ye, Ge Wang

Proceedings Volume 5535, Developments in X-Ray Tomography IV; (2004) https://doi.org/10.1117/12.559300
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

To solve the long object problem, an exact and efficient algorithm has been recently developed by Katsevich. While the Katsevich algorithm only works with standard helical cone-beam scanning, there is an important need for nonstandard spiral cone-beam scanning. Specifically, we need a scanning spiral of variable radius for our newly proposed electron-beam CT/micro-CT prototype. In this paper, for variable radius spiral cone-beam CT we construct two Katsevich-type cone-beam reconstruction algorithms in the filtered backprojection (FBP) and backprojected filtration (BPF) formats, respectively. The FBP algorithm is developed based on the standard Katsevich algorithm, and consists of four steps: data differentiation, PI-line determination, slant filtration and weighted backprojection. The BPF algorithm is designed based on the scheme by Zou and Pan, and also consists four steps: data differentiation, PI-line determination, weighted backprojection and inverse Hilbert transform. Numerical experiments are conducted with mathematical phantoms.

Citation Download Citation

Hengyong Yu, Yangbo Ye, and Ge Wang "Katsevich-type algorithms for variable radius spiral cone-beam CT", Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); https://doi.org/10.1117/12.559300

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