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A new approach to the reconstruction of images from Radon projections
Authors:Yuan Xu
Institution:Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA
Abstract:A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the computed tomography. The convergence of the algorithm is established under mild assumptions.
Keywords:Reconstruction of images  Radon projections  Polynomials of two variables  Algorithms
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