AUTHORS: Abdessalem Benammar, Aicha Allag, Redouane Drai
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ABSTRACT: Computed tomography (CT) has great impact in many fields such as medical applications, industrial inspection, etc... Low dose constraints and Limited projection are common problems in a variety of tomographic reconstruction examples which lead to wrong data. In this work, we propose a method of CT reconstruction based on the simultaneous iterative reconstruction techniques SIRT improved by imposing positivity constraint in the total variation (TVcim-p). We test our method with on Shepp-Logan phantom and different reconstruction methods. The results show that the proposed algorithm can gives images with quality comparable to other algorithms
KEYWORDS: Image Reconstruction; Total Variation Minimization; SIRT, Cimmino method
REFERENCES:
[1] Kim, D., Park, S.J., Jo, B., Kim H., & Kim, H.J., Investigation of sparse-angle view in cone beam computed tomography (CBCT) reconstruction algorithm using a sinogram interpolation method, World Congress on Medical Physics and Biomedical Engineering, June 7-12, 2015, Toronto, Canada.
[2] Hong Shangguan, Quan Zhang, Yi Liu, Xueying Cui,Yunjiao Bai, Zhiguo Gui, Low-dose CT statistical iterative reconstruction viamodified MRF regularization, Computer methods and programs in biomedicine 123 (2016) 129–141.
[3] Fang Xu, Wei Xu, Klaus Mueller, Mel Jones, Bettina Keszthelyi, John Sedat, and David Agard, On the Efficiency of Iterative Ordered Subset Reconstruction Algorithms for Acceleration on GPUs, Comput Methods Programs Biomed. 2010 June ; 98(3): 261–270.
[4] Nargol Rezvani, Iterative Reconstruction Algorithms for Polyenergetic X-Ray Computerized Tomography, thesis University of Toronto 2012.
[5] Johann Radon. Uber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten. Ber. Ver. Sachs. Akad. Wiss. Leipzig, Math-Phys. Kl, 69 :262– 277, April 1917. In German. An english translation can be found in S. R. Deans : The Radon Transform and Some of Its Applications.
[6] Benoît Recur, Precision and Quality in Computerized Tomography : Algorithms and Applications, thesis UNIVERSITE BORDEAUX I, 2010.
[7] Peter Toft. The Radon Transform : Theory and Implementation. PhD thesis, Department of Mathematical Modelling, Section for Digital Signal Processing, Technical University of Denmark, 1996.
[8] Per Christian Hansen, Maria Saxild-Hansen, AIR Tools — A MATLAB package of algebraic iterative reconstruction methods, Journal of Computational and Applied Mathematics, V236, Issue 8, February 2012, Pages 2167-2178.
[9] Rudin L. I. Osher S. Fatemi E. Nonlinear total variation based noise removal algorithms, Physica D60, 259-268, 1992.
