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


	  Radon  Transform

数学季刊 ›› 1995, Vol. 10 ›› Issue (3): 52-58.

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

Zhengzhou Institute of Technology

收稿日期:1994-06-18 出版日期:1995-09-30 发布日期:2025-03-12
基金资助:
The preiect supported by provincial natural science foundation of Henan.

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

Zhengzhou Institute of Technology

Received:1994-06-18 Online:1995-09-30 Published:2025-03-12
Supported by:
The preiect supported by provincial natural science foundation of Henan.

摘要/Abstract

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

关键词: , generalized Radon transformation, fourier transformation, multiplicative interp- lation functions, regularizing functional, regularizing solution

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

中图分类号:

O153

蒋慧琴. Application of the Regularization Method to the Numberical Inversion of a Class of Generalized Radon Transform [J]. 数学季刊, 1995, 10(3): 52-58.

Jiang Huiqin. Application of the Regularization Method to the Numberical Inversion of a Class of Generalized Radon Transform [J]. Chinese Quarterly Journal of Mathematics, 1995, 10(3): 52-58.

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

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

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