This article is cited in 10 papers

The use of discrete dyadic wavelets in image processing

Yu. A. Farkov, S. A. Stroganov

Chair of Higher Mathematics and Mathematical Modeling, Russian State Geological Prospecting University, Moscow, Russia

Abstract: In this paper, using the discrete Walsh transform, we construct orthogonal and biorthogonal wavelets for complex periodic sequences similar to those studied earlier for the Cantor group. Results of numerical experiments demonstrate the effectiveness of image processing methods based on the constructed discrete wavelets.

Keywords: dyadic wavelets, spaces of periodic sequences, Walsh functions, discrete Walsh transform, image processing.

UDC: 519.677

Received: 23.03.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:7, 47–55

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