A singular value decomposition for the radon transform inn-dimensional euclidean space
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 3 (3) , 321-340
- https://doi.org/10.1080/01630568108816093
Abstract
We construct the singular value decomposition of the Radon transform when the Radon transform is restricted to functions which are either square integrable on the unit disc in IR n with respect to one of the weights (1-r 2)n/2-λ: or square integrable on IR n with respect to exp(r 2). An application to calculating mollifiers for approximate inversion of the sampled Radon transform is discussed.Keywords
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