Modulated Luminescent Tomography
Plamen Stefanov, Wenxiang Cong, Ge Wang
TL;DR
This paper introduces a mathematical model for Modulated Luminescent Tomography, demonstrating its relation to weighted X-ray transform inversion and providing explicit solutions for specific excitation scenarios.
Contribution
It presents a novel mathematical framework linking luminescent tomography to X-ray transform inversion and derives explicit inversion formulas for dual cone X-ray excitation.
Findings
Established the connection between luminescent tomography and weighted X-ray transforms.
Derived explicit inversion formulas for dual cone X-ray excitation.
Analyzed the mathematical properties of the proposed model.
Abstract
We propose and analyze a mathematical model of Modulated Luminescent Tomography. We show that when single X-rays or focused X-rays are used as an excitation, the problem is similar to the inversion of weighted X-ray transforms. In particular, we give an explicit inversion in the case of Dual Cone X-ray excitation.
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Taxonomy
TopicsOptical Imaging and Spectroscopy Techniques · Photoacoustic and Ultrasonic Imaging · Medical Imaging Techniques and Applications