作者
Luke Lozenski, Refik Mert Cam, Mark A Anastasio, Umberto Villa
发表日期
2024/2/23
期刊
arXiv preprint arXiv:2402.15641
简介
The spherical Radon transform (SRT) is an integral transform that maps a function to its integrals over concentric spherical shells centered at specified sensor locations. It has several imaging applications, including synthetic aperture radar and photoacoustic computed tomography. However, computation of the SRT can be expensive. Efficient implementation of SRT on general purpose graphic processing units (GPGPUs) often utilizes non-matched implementation of the adjoint operator, leading to inconsistent gradients in optimization-based image reconstruction methods. This work details an efficient implementation of the SRT and its adjoint for the case of a cylindrical measurement aperture. Exploiting symmetry of the cylindrical geometry, the SRT can then be expressed as the composition of two circular Radon transforms (CRT). Utilizing this formulation then allows for an efficient implementation of the SRT as a discrete-to-discrete operator utilizing sparse matrix representation.
学术搜索中的文章
L Lozenski, RM Cam, MA Anastasio, U Villa - arXiv preprint arXiv:2402.15641, 2024