Adaptive weights smoothing with applications to image restoration

被引：139

作者：

Polzehl, J ^{[1
]}

Spokoiny, VG ^{[1
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY | 2000年 / 62卷

关键词：

adaptive smoothing; changepoint and edge estimation; image restoration; magnetic resonance imaging; satellite imaging;

D O I：

10.1111/1467-9868.00235

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We propose a new method of nonparametric estimation which is based on locally constant smoothing with an adaptive choice of weights for every pair of data points. Some theoretical properties of the procedure are investigated. Then we demonstrate the performance of the method on some simulated univariate and bivariate examples and compare it with other nonparametric methods. Finally we discuss applications of this procedure to magnetic resonance and satellite imaging.

引用

页码：335 / 354

页数：20

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