Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 109534, 12 pages
http://dx.doi.org/10.1155/2012/109534
Research Article

Compact Support FDK Kernel Reconstruction Model Base on Approximate Inverse

Jun Feng,1,2 Jian-Zhou Zhang,1 and Bin Zhou3

1College of Computer, Sichuan University, Chengdu 610065, China
2College of Management Science, Chengdu University of Technology, Chengdu 610059, China
3College of Science, Xi'an University of Science and Technology, Xi'an 710054, China

Received 31 October 2011; Accepted 22 November 2011

Academic Editor: P. Liatsis

Copyright © 2012 Jun Feng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A novel CT reconstruction model is proposed, and the reconstruction is completed by this kernel-based method. The reconstruction kernel can be obtained by combining the approximate inverse method with the FDK algorithm. The computation of the kernel is moderate, and the reconstruction results can be improved by introducing the compact support version of the kernel. The efficiency and the accuracy are shown in the numerical experiments.