Local reconstruction from the spherical Radon transform in 3D
Rafik Aramyan
TL;DR
This paper introduces a new local iterative inversion formula for the spherical Radon transform in 3D, enhancing practical reconstruction methods in imaging applications like tomography and radar.
Contribution
The paper presents a novel local iterative inversion formula for the 3D spherical Radon transform, improving practical reconstruction capabilities.
Findings
The new inversion formula is local and suitable for practical use.
It enhances the inversion process in thermo- and photo-acoustic tomography.
The method is applicable to radar imaging and similar fields.
Abstract
In this article we study the spherical mean Radon transform in with detectors centered on a plane. We use the consistency method suggested by the author of this article for the inversion of the transform in 3D. A new iterative inversion formula is presented. This formula has the benefit of being local and is suitable for practical reconstructions. The inversion of the spherical mean Radon transform is required in mathematical models in thermo- and photo-acoustic tomography, radar imaging, and others.
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Taxonomy
TopicsMedical Imaging Techniques and Applications · Photoacoustic and Ultrasonic Imaging · Infrared Thermography in Medicine