加权锥形拉顿变换分析

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY

Journal of Physics Communications Pub Date : 2024-03-27 DOI:10.1088/2399-6528/ad2b8d

Nguyen Ngoc Duy

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引用次数: 0

摘要

在这篇文章中，我们考虑了加权锥形拉顿变换--康普顿相机成像和光学层析成像都是采用这种变换的原因。我们的贡献在于为加权锥形拉顿变换引入了新的反演公式，包括与卷积帧相关的明确公式和属性。此外，我们还提出了在二维空间中求解各种加权参数的重建公式。

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Analysis of the weighted conical Radon transform

In this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties associated with convolution frames. Furthermore, we propose reconstruction formulas that solve for variety weighted parameters in the two-dimensional space.

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