Shearlet approximations to the inverse of a family of linear operators

被引：2

作者：

Hu, Lin ^{[1
,2
]}

Liu, Youming ^{[1
]}

机构：

[1] Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

[2] Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

inverse problems; shearlets; approximation; Radon transform; noise; REPRESENTATIONS;

D O I：

10.1186/1029-242X-2013-11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Radon transform plays an important role in applied mathematics. It is a fundamental problem to reconstruct images from noisy observations of Radon data. Compared with traditional methods, Colona, Easley and etc. apply shearlets to deal with the inverse problem of the Radon transform and receive more effective reconstruction. This paper extends their work to a class of linear operators, which contains Radon, Bessel and Riesz fractional integration transforms as special examples.

引用

页数：10