A novel kernel-based limited-view computerized tomography reconstruction via anisotropic diffusion

Authors:
Jun Feng;Jian-Zhou Zhang;Bin Zhou
Affiliations:
College of Computer, Sichuan University, Chengdu 610065, PR China and Geomathematics Key Lab of Sichuan Province, Chengdu University of Technology, Chengdu 610059, PR China;College of Computer, Sichuan University, Chengdu 610065, PR China;College of Science, Xi'an University of Science and Technology, Xi'an 710054, PR China
Venue:
Computers and Electrical Engineering
Year:
2013

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Abstract

In this paper, a novel kernel-based limited-view computed tomography (CT) reconstruction model is proposed. First based on the classical Feldkamp-Davis-Kress (FDK) algorithm, the reconstruction kernel is derived. Then according to the improved approximate inverse for limited view reconstruction, the FDK kernel is truncated to be compact, after which the ring artifacts is reduced. Finally an anisotropic diffusion governed by the Chambolle-Lions equation is introduced to suppress the other artifacts and noise. In the Chambolle-Lions equation, a threshold function is proposed to separate the regions with high or few features adaptively. The efficiency and accuracy of the method are shown in several numerical experiments.