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arXiv · 1803.10127

Some uniqueness theorems for a conical Radon transform

Sunghwan Moon
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Abstract

The conical Radon transform, which assigns to a given function $f$ on $\mathbb R^3$ its integrals over conical surfaces, arises in several imaging techniques, e.g. in astronomy and homeland security, especially when the so-called Compton cameras are involved. In many practical situations we know this transform only on a subset of its domain. In these situations, it is a natural question what we can say about $f$ from partial information. In this paper, we investigate some uniqueness theorems regarding a conical Radon transform.

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Sunghwan Moon. 2018-03-27. Some uniqueness theorems for a conical Radon transform. https://arxiv.org/abs/1803.10127

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