Operator identities relating sonar and Radon transforms in Euclidean space
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We establish new relations which connect Euclidean sonar transforms (integrals taken over spheres with centers in a hyperplane) with classical Radon transforms. The relations, stated as operator identities, allow us to reduce the inversion of sonar transforms to classical Radon inversion.
Keywords
Cite
@article{arxiv.math/0607437,
title = {Operator identities relating sonar and Radon transforms in Euclidean space},
author = {Aleksei Beltukov and David Feldman},
journal= {arXiv preprint arXiv:math/0607437},
year = {2007}
}
Comments
20 pages, 3 figures