A singular value decomposition for the radon transform in n-dimensional euclidean space |
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| Authors: | M E Davison |
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| Institution: | Ames Laboratory, USDOE and Department of Mathematics , Iowa State University , Ames, Iowa, 50011 |
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| 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. |
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| Keywords: | Discrete penalized conditional descent method Discretization Midpoint scheme Optimal control Relaxed controls |
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