Work

Operator identities relating sonar and Radon transforms in Euclidean space

Year: 2006
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W1908872022
Cites: 6
Cited by: 2
Related to: 10