Local Inversion of the Radon Transform in Even Dimensions Using Wavelets
Local Inversion of the Radon Transform in Even Dimensions Using Wavelets
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Date
1993
Authors
Berenstein, Carlos A.
Walnut, D.
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Abstract
We use the theory of the continuous wavelet transform to derive inversion formulas for the Radon transform. These formulas are almost local for even dimensions in the sense that for a given mean square error we can decide which lines near a point must be used to approximate the function at the point within the given error.