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Adaptive weights smoothing with applications to image restoration
Author(s) -
Polzehl J.,
Spokoiny V. G.
Publication year - 2000
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/1467-9868.00235
Subject(s) - smoothing , nonparametric statistics , bivariate analysis , univariate , computer science , constant (computer programming) , image (mathematics) , algorithm , artificial intelligence , mathematics , computer vision , multivariate statistics , statistics , machine learning , programming language
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.