Some uniqueness theorems for a conical Radon transform

2018/03/27 by Sung‐Hwan Moon, Moon, Sunghwan
Computer Science · Engineering · Medicine · #44A12 #65R1 #92C55 #Advanced Image Fusion Techniques #FOS: Physical sciences #Mathematical Physics (math-ph) #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.1803.10127

openalex publication_date 2018/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The conical Radon transform, which assigns to a given function f on \mathbb R³ 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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