Abstract:  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.Fially we simplify calculation by Fourier transformation, get regularizing solutions that converge to accurate solution.

Key words:  , generalized Radon transformation, fourier transformation, multiplicative interp- lation functions, regularizing functional, regularizing solution