Generalized attenuated ray transforms and their integral angular moments

作者：

Highlights：

• New generalization of attenuated ray transforms and their integral angular moments are investigated.

• Uniqueness theorems for the corresponding boundary-value and initial boundary-value problems are proved.

• Tensor tomography problems are treated as parameter identification problems of the associated transport equations.

摘要

•New generalization of attenuated ray transforms and their integral angular moments are investigated.•Uniqueness theorems for the corresponding boundary-value and initial boundary-value problems are proved.•Tensor tomography problems are treated as parameter identification problems of the associated transport equations.

论文关键词：Tomography,Attenuated ray transform,Transport equation,Boundary-value problem,Uniqueness theorem,Integral angular moment

论文评审过程：Received 19 December 2019, Revised 31 May 2020, Accepted 28 June 2020, Available online 7 July 2020, Version of Record 11 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125494