Chapter

World Congress on Medical Physics and Biomedical Engineering, September 7 - 12, 2009, Munich, Germany

Volume 25/2 of the series IFMBE Proceedings pp 443-446

Comparison of few-view CT image reconstruction algorithms by constrained total-variation minimization based on different sampling bases

  • Haoyu WangAffiliated withBeijing City Key Lab of Medical Physics and Engineering, Peking University
  • , Yaoqin XieAffiliated withBeijing City Key Lab of Medical Physics and Engineering, Peking University
  • , Shanglian BaoAffiliated withBeijing City Key Lab of Medical Physics and Engineering, Peking University
  • , Lei LiAffiliated withDepartment of Information Research, Institute of Information Engineering, Information Engineering University
  • , Bin YanAffiliated withDepartment of Information Research, Institute of Information Engineering, Information Engineering University

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Abstract

The aim of this paper is to investigate how the choice of the sampling basis affects the reconstruction results of constrained total-variation (TV) minimization algorithms used for few-view computed tomography (CT). The reconstruction results between the algorithm based on frequency samples (AFS) and the algorithm based on projection samples (APS) are compared using numerical simulated data. Under same conditions, AFS exhibits better results compared with APS. These experimental results confirm that provided same conditions, the more incoherence between the basis for sampling Ψ and the basis of the sparse signal Φ, the better reconstruction results of the constrained TV minimization algorithm can be achieved and better algorithms can be developed with the basis pairs (Φ, Ψ).

Keywords

convex optimization total-variation minimization sparsity incoherence orthogonal basis