Second-Order Total Variation and Primal-Dual Algorithm for CT Image Reconstruction

Second-Order Total Variation and Primal-Dual Algorithm for CT Image Reconstruction

Year:    2017

International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 1 : pp. 76–87

Abstract

In this paper, we proposed a regularization model based on second-order total variation for CT image reconstruction, which could eliminate the 'staircase' caused by total variation (TV) minimization. Moreover, some properties of second-order total variation were investigated, and a primal-dual algorithm for the proposed model was presented. Some numerical experiments for various projection data were conducted to demonstrate the efficiency of the proposed model and algorithm.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-IJNAM-411

International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 1 : pp. 76–87

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    CT image reconstruction regularization method second-order total variation primal-dual algorithm.