1 July 1990 Projection and backprojection models, and projection sampling in tomography
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Abstract
In this paper, a continuous / discrete projection / backprojection model is presented, from which the validity of the discrete projection / reconstruction algorithm can be assessed. We mainly focus on projection sampling since angular sampling has been extensively studied previously. For this purpose a pixel intensity distribution model relating continuous and discrete original functions is proposed. Sampling of model projections is then studied, and projection filtering analyzed. Proper implementation of the discrete backprojection operator is derived, such that the resulting reconstructed function can be compared with the original one, and the overall consistency of the aproach proved. Experimental results are presented to demonstrate the validity of the theoritical approach. The consequences of properly sampling projections in practical conditions are fmally discussed.
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Jeanpierre V. Guedon, Jeanpierre V. Guedon, Yves J. Bizais, Yves J. Bizais, } "Projection and backprojection models, and projection sampling in tomography", Proc. SPIE 1231, Medical Imaging IV: Image Formation, (1 July 1990); doi: 10.1117/12.18798; https://doi.org/10.1117/12.18798
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