Analysis of the weighted conical Radon transform

Abstract

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.

Keywords

• tomography
• weighted conical Radon transform
• v-line Radon transform
• integral geometry
• medical image
• convolution frame