We give a simple and explicit construction of compactly supported affine tight frames with small number of generators, associated to multivariate box splines (with respect to the dilation matrix 2I). Moreover, the same technique applied to the case of bivariate box splines on the four-directions mesh with dilation matrix gives tight frames with at most five generators.
Multivariate tight affine frames with a small number of generators / M. Salvatori, P.M. Soardi. - In: JOURNAL OF APPROXIMATION THEORY. - ISSN 0021-9045. - 127:1(2004), pp. 61-73. [10.1016/j.jat.2004.01.005]
Multivariate tight affine frames with a small number of generators
M. SalvatoriPrimo
;
2004
Abstract
We give a simple and explicit construction of compactly supported affine tight frames with small number of generators, associated to multivariate box splines (with respect to the dilation matrix 2I). Moreover, the same technique applied to the case of bivariate box splines on the four-directions mesh with dilation matrix gives tight frames with at most five generators.
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