A discrete universal denoiser and its application to binary images

Erik Ordentlich, Gadiel Seroussi, Sergio Verdu, Marcelo Weinberger, Tsachy Weissman

Research output: Contribution to conferencePaper

38 Scopus citations

Abstract

In a recent work, the authors introduced a discrete universal denoiser (DUDE) for recovering a signal with finite-valued components corrupted by finite-valued, uncorrelated noise. The DUDE is asymptotically optimal and universal, in the sense of asymptotically achieving, without access to any information on the statistics of the clean signal, the same performance as the best denoiser that does have access to such information. It is also practical, and can be implemented in low complexity. In this work, we extend the definition of the DUDE to two-dimensionally indexed data, and present results of an implementation of the scheme for binary images. Section 2 presents the problem setting, definitions, and notation used throughout the paper. Section 3 describes the DUDE for two-dimensional data (this description readily extends to higher dimensions). Section 4 presents theoretical performance guarantees establishing the DUDE's asymptotic optimality. The denoiser assumes a particularly simple form for binary alphabets, which is presented in Section 5. Practical considerations in the implementation of the binary scheme are presented in Section 6, while experimental results of its application to noisy binary images are presented in Section 7, In the examples considered we find that the DUDE outperforms current popular schemes for binary image denosing. Finally, in Section 8 we discuss conclusions and directions for ongoing and future research.

Original languageEnglish (US)
Pages117-120
Number of pages4
StatePublished - Dec 16 2003
EventProceedings: 2003 International Conference on Image Processing, ICIP-2003 - Barcelona, Spain
Duration: Sep 14 2003Sep 17 2003

Other

OtherProceedings: 2003 International Conference on Image Processing, ICIP-2003
CountrySpain
CityBarcelona
Period9/14/039/17/03

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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