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Abstract: We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths and degrees . We apply our results to derive spline-convolution-based algorithms for two closely related problems: the computation of the Radon transform and of its inverse. First, we present an efficient discrete implementation of the Radon transform that is optimal in the least-squares sense. We then consider the reverse problem and introduce a new... (Update)
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BibTeX entry: (Update)
@misc{ horbelt-discretization,
author = "Stefan Horbelt and Michael Liebling and Michael Unser",
title = "Discretization of the Radon Transform and of its Inverse by Spline Convolutions",
url = "citeseer.ist.psu.edu/horbelt02discretization.html" }
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