Cite this article as:

Krasilnikova M. S. Parametrization of Bivariate Nonseparable Haar Wavelets. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2011, vol. 11, iss. 2, pp. 26-32. DOI: https://doi.org/10.18500/1816-9791-2011-11-2-26-32

Language:

Russian

Heading:

Mathematics

UDC:

517.518.36

Parametrization of Bivariate Nonseparable Haar Wavelets

Authors:

Krasilnikova M. S., Voronezh State University, Russia, 394006, Voronezh, Universitetskaya pl., 1 , krasilnikovams@nm.ru

Abstract:

A parametrization of all orthogonal wavelet bases for Haar multiresolution analysis is derived. The bases generated by three piecewise constant wavelets {ηi(x, y)}, i = 1, 2, 3, supported on [0, 1] × [0, 1], with values aij ∈ R, i = 1, 2, 3, j = 1, 2, 3, 4 are considered.

Key words:

orthogonal bases, Haar wavelets, multiresolution analysis..

DOI:

https://doi.org/10.18500/1816-9791-2011-11-2-26-32

References

1. Новиков И.Я., Протасов В.Ю., Скопина М.А. Теория всплесков. М.: Физматлит, 2005. 616 c.

2. Hur Y., Ron A. New constructions of piecewiseconstant wavelets // Electronic Transactions on Numerical Analysys. 2006. Vol. 25. P. 138–157.

Journal issue:

Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2011, vol. 11, iss. 2,

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