Anisotropic total variation minimization method for limited-angle CT reconstruction

Xin Jin; Liang Li; Zhiqiang Chen; Li Zhang; Yuxiang Xing

doi:10.1117/12.930339

17 October 2012 Anisotropic total variation minimization method for limited-angle CT reconstruction

Xin Jin, Liang Li, Zhiqiang Chen, Li Zhang, Yuxiang Xing

Proceedings Volume 8506, Developments in X-Ray Tomography VIII; 85061C (2012) https://doi.org/10.1117/12.930339
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

Abstract

This work gives a new Compressed Sensing (CS) based Computed Tomography (CT) reconstruction method for limited angle problem. Currently CS based reconstruction methods are achieved by a minimizing process on the total variation (TV) of CT image under data consistency constraint. For limited-angle problem due to the missing range of projection views the strength of data consistency constraint becomes direction relevant. In our work a new anisotropic total variation (ATV) minimization method is proposed. Instead of using image TV as the minimization objective, an ATV objective is designed which is combined of multiple 1D directional TV with different weights according to the actual scanned angular range. Experiments with simulated data demonstrate the advantages of our approach relative to the standard CS based reconstruction methods.

Citation Download Citation

Xin Jin, Liang Li, Zhiqiang Chen, Li Zhang, and Yuxiang Xing "Anisotropic total variation minimization method for limited-angle CT reconstruction", Proc. SPIE 8506, Developments in X-Ray Tomography VIII, 85061C (17 October 2012); https://doi.org/10.1117/12.930339

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