Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments

Authors:
X. B. Dai;H. Z. Shu;L. M. Luo;G. N. Han;J. L. Coatrieux
Affiliations:
Laboratory of Image Science and Technology, School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China and Centre de Recherche en Information Biomédicale Sino-Fra ...;Laboratory of Image Science and Technology, School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China and Centre de Recherche en Information Biomédicale Sino-Fra ...;Laboratory of Image Science and Technology, School of Computer Science and Engineering, Southeast University, 210096 Nanjing, China and Centre de Recherche en Information Biomédicale Sino-Fra ...;IRMA, Université Louis Pasteur et C.N.R.S., 7, rue René-Descartes F, 67084 Strasbourg, France;INSERM, U642, Rennes, F-35000, France and Université de Rennes 1, LTSI, Rennes, F-35000, France and Centre de Recherche en Information Biomédicale Sino-Français (CRIBs), France
Venue:
Pattern Recognition
Year:
2010

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Abstract

This paper presents an image reconstruction method for X-ray tomography from limited range projections. It makes use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to define the projection moments and the image moments. By establishing the relationship between these two sets of moments, we show how to estimate the unknown projections from known projections in order to improve the image reconstruction. Simulation results are provided in order to validate the method and to compare its performance with some existing algorithms.