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Operator identities relating sonar and Radon transforms in Euclidean space

Aleksei Beltukov·David Feldman
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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.

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Aleksei Beltukov, David Feldman. 2006-07-18. Operator identities relating sonar and Radon transforms in Euclidean space. https://arxiv.org/abs/math/0607437

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