Wavelet localization of the Radon transform in even dimensions

2 January 2003

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 137-140
https://doi.org/10.1109/tftsa.1992.274217

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.

Keywords

WAVELET TRANSFORMS
FOURIER TRANSFORMS
BIOMEDICAL IMAGING
X-RAYS
IMAGE RECONSTRUCTION
MATHEMATICS
COMPUTER SCIENCE
EDUCATIONAL INSTITUTIONS
TOMOGRAPHY
DENSITY FUNCTIONAL THEORY

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