Local Inversion of the Radon
نویسندگان
چکیده
We use the theory of the continuous wavelet transform to derive inversion formulas for the Radon transform on L 1 \L 2 (R d). These inversion formulas turn out to be local in even dimensions in the following sense. In order to recover a function f from its Radon transform in a ball of radius R > 0 about a point x to within error , we can nd () > 0 such that this can be accomplished by knowing the projections of f only on lines passing through a ball of radius R + () about x. We give explicit a priori estimates on the error in the L 2 and L 1 norms.
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