Adaptive weights smoothing with applications to image restoration

Jörg Polzehl, Vladimir G. Spokoiny

Research output: Contribution to journalArticlepeer-review

138 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)335-354
Number of pages20
JournalJournal of the Royal Statistical Society. Series B: Statistical Methodology
Issue number2
Publication statusPublished - 2000
Externally publishedYes


  • Adaptive smoothing
  • Changepoint and edge estimation
  • Image restoration
  • Magnetic resonance imaging
  • Satellite imaging


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