Wavelet localization of the Radon transform in even dimensions

Abstract

One of the phenomena associated with the Radon transform is the following: in odd dimensions, local values of a function f:R/sup n/ to R can be determined by local measurements of the integrals of f over (n-1)-dimensional hyperplanes; in even dimensions, local values are globally dependent on the integrals over hyperplanes. The wavelet transform is used to essentially localize the Radon transform in even dimensions. It is believed that this will be significant in the field of medical imaging.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>