Application　of　the　Regularization　Method　to　the　Numberical　Inversion　of　a　Class　of　Generalized　Radon　Transform  

作　　者：蒋慧琴 

出　　处：《Chinese Quarterly Journal of Mathematics》1995年第3期52-58,共7页数学季刊（英文版）

摘　　要：In the research of bistatic tomography imaging of translating object, we get a class of generalized Radon transformation. In this paper, first we prove the existence and uniguenness of its solution in theory and point out this problem is ill-posed with an especial example.Secondly by means of multiplicative interpolation functions to approximate models, we constracted regularizing functional. Finally we simplify calculation by Fourier transformation,get regularizing solutions that converge to accurate solution.

关 键 词：generalized Radon transformation fourier transformation multiplicative  interpolation functions regularizing functional regularizillg solution 

分 类 号：O174.22[理学—数学]