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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009 Number 5, Pages 3–6 (Mi vmumm894)

This article is cited in 1 paper

Mathematics

Optimal use of components of a dyadic wavelet representation

A. V. Shokurov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In practice, one may encounter linear transforms the result of which is only important for a certain set of vector components. In particular this relates to vector components restored from its dyadic wavelet representation. In this paper we study the optimization of the index set of the dyadic wavelet representation which can be used to restore the required original vector components.

Key words: wavelet transform, dyadic wavelet representation, linear transform, inverse transform, index set, restoring vector components.

UDC: 512.643

Received: 17.09.2007



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