For citation:
Krasilnikova M. S. Parametrization of Bivariate Nonseparable Haar Wavelets. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 2, pp. 26-32. DOI: 10.18500/1816-9791-2011-11-2-26-32
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
25.04.2011
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Language:
Russian
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UDC:
517.518.36
Parametrization of Bivariate Nonseparable Haar Wavelets
Autors:
Krasilnikova M. S., Voronezh State University
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.
References:
- Новиков И.Я., Протасов В.Ю., Скопина М.А. Теория всплесков. М.: Физматлит, 2005. 616 c.
- Hur Y., Ron A. New constructions of piecewiseconstant wavelets // Electronic Transactions on Numerical Analysys. 2006. Vol. 25. P. 138–157.
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