Geodesic
Parametrization of bivariate nonseparable Haar wavelets
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 26-32.

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A parametrization of all orthogonal wavelet bases for Haar multiresolution analysis is derived. The bases generated by three piecewise constant wavelets $\{\eta_i(x,y)\}$, $i=1,2,3$, supported on $[0,1]\times[0,1]$, with values $a_{ij}\in\mathbb R$, $i=1,2,3$, $j=1,2,3,4$, are considered. 
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     title = {Parametrization of bivariate nonseparable {Haar} wavelets},
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M. S. Krasilnikova. Parametrization of bivariate nonseparable Haar wavelets. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 26-32. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a3/

[1] Novikov I. Ya., Protasov V. Yu., Skopina M. A., Teoriya vspleskov, Fizmatlit, M., 2005, 616 pp. | MR

[2] Hur Y., Ron A., “New constructions of piecewise-constant wavelets”, Electronic Transactions on Numerical Analysys, 25 (2006), 138–157 | MR | Zbl