Article ID Journal Published Year Pages File Type
4625174 Advances in Applied Mathematics 2009 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics