We study biorthogonal bases of compactly supported wavelets constructed from box splines in ℝN 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).
Salvatori, M., Soardi, P. (2002). Multivariate compactly supported biorthogonal spline wavelets. ANNALI DI MATEMATICA PURA ED APPLICATA, 181(2), 161-179 [10.1007/s102310100033].
Multivariate compactly supported biorthogonal spline wavelets
SOARDI, PAOLO MAURIZIO
2002
Abstract
We study biorthogonal bases of compactly supported wavelets constructed from box splines in ℝN 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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