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Morphological component analysis for tomography reconstruction

Wang Liyan1,2,Wei Zhihui2,Li Xingxiu2 1.Mathematics Department,Southeast University,Nanjing 211189,China; 2.Computer Science Department,Nanjing University of Science & Technology,Nanjing 210094,China  
Recently a number of algorithms have been proposed to overcome the data insufficiency for certain compressible signals.Most of the existing methods are appropriate for piecewise smooth objects,but do not behave very well on texture-rich object.In this paper,a new optimization model for tomography reconstruction for texture-rich object is proposed based on morphological components analysis,in which compound regularizations are exploited.Furthermore,an alternating iterative algorithm is presented to solve the relevant optimization problem.We compare its numerical performance with two recent algorithms,which demonstrate that the proposed method is highly efficient especially in preserving texture features.
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