Generalized discrete Radon transforms and their use in the ridgelet transform

被引：19

作者：

Colonna, F ^{[1
]}

Easley, G

机构：

[1] George Mason Univ, Fairfax, VA 22030 USA

[2] Sys Planning Corp, Arlington, VA USA

来源：

JOURNAL OF MATHEMATICAL IMAGING AND VISION | 2005年 / 23卷 / 02期

关键词：

Radon transform; ridgelet transform; curvelet transform; SAR; speckle reduction;

D O I：

10.1007/s10851-005-6463-0

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We introduce and study anew class of Radon transforms in a discrete setting for the purpose of applying them to the ridgelet and curvelet transforms. We give a detailed analysis of the p-adic case and provide a closed-form formula for an inverse of the p-adic Radon transform. We give conditions for a scaled version of the generalized discrete Radon transform to yield a tight frame, and discuss a direct Radon matrix method for the implementation of a local ridgelet transform. We then study the effectiveness of some types of the generalized Radon transforms in reducing a type of noise known as speckle that is present in synthetic aperture radar (SAR) imagery.

引用

页码：145 / 165

页数：21