Wavelets and Local Tomography
نویسنده
چکیده
In this paper, formulas relating the Radon transform and Radon transform inversion to various wavelet and multiscale transformations, including the continuous wavelet transform, the semi{continuous wavelet transform of Mallat, steerable multiscale lters of Freeman and Adelson, and separable orthogonal and non{orthogonal wavelet bases, are given. The use of wavelets as a valuable tool in the local inversion of the Radon transform in even dimensions is justiied, and explicit estimates on the decay of ramp{ ltered wavelets is given.
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