Methods of Signal Processing

Optimal Estimation Accuracy of Nonsmooth Images

A. B. Tsybakov


Abstract: We consider the estimation of nonsmooth $N$-dimensional images in the presence of noise. The image is a nonstochastic function which is smooth everywhere except on a certain number of discontinuity surfaces (lines). Order-unimprovable estimation accuracy is established for such images and an estimator is proposed on which this accuracy is attained.

UDC: 621.391.1:51

Received: 15.12.1987

 English version: Problems of Information Transmission, 1989, 25:3, 180–191

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