We study biorthogonal bases of compactly supported wavelets constructed from box splines in ÂN with any integer dilation factor. For a suitable class of box splines we write explicitly dual low-pass filters of arbitrarily high regularity and indicate how to construct the corresponding high-pass filters (primal and dual).
Multivariate compactly supported biorthogonal spline wavelets / M.E. Salvatori, P.M. Soardi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 181:2(2002), pp. 161-179. [10.1007/s102310100033]
Multivariate compactly supported biorthogonal spline wavelets
M.E. SalvatoriPrimo
;
2002
Abstract
We study biorthogonal bases of compactly supported wavelets constructed from box splines in ÂN with any integer dilation factor. For a suitable class of box splines we write explicitly dual low-pass filters of arbitrarily high regularity and indicate how to construct the corresponding high-pass filters (primal and dual).
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