Multivariate compactly supported biorthogonal spline wavelets |
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| Authors: | Maura Salvatori Paolo M Soardi |
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| Institution: | (1) Dipartimento di Matematica dell’Università di Milano, via Saldini 50, 20133 Milano, Italy, e-mail: maura.salvatori@mat.unimi.it, IT;(2) Dipartimento di Matematica e Applicazioni, Università di Milano–Bicocca, viale Sarca 202, 20126 Milano, Italy, e-mail: soardi@matapp.unimib.it, IT |
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| Abstract: | We study biorthogonal bases of compactly supported wavelets constructed from box splines in ℝ
N
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).
Received: August 23, 2000; in final form: March 10, 2001?Published online: May 29, 2002 |
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| Keywords: | Mathematics Subject Classification (2000) 42C15 42C40 |
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