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Piecewise linear prewavelets on arbitrary triangulations

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Abstract.

This paper studies locally supported piecewise linear prewavelets on bounded triangulations of arbitrary topology. It is shown that a concrete choice of prewavelets form a basis of the wavelet space when the degree of the vertices in the triangulation is not too high.

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Authors and Affiliations

  1. SINTEF Applied Mathematics, Post Box 124, Blindern, N-0314 Oslo, Norway; (e-mail: Michael.Floater@math.sintef.no, Ewald.Quak@math.sintef.no) , , , , , , NO

    Michael S. Floater & Ewald G. Quak

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  1. Michael S. Floater
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  2. Ewald G. Quak
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Received December 29, 1997 / Revised version received April 14, 1998

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Floater, M., Quak, E. Piecewise linear prewavelets on arbitrary triangulations. Numer. Math. 82, 221–252 (1999). https://doi.org/10.1007/s002110050418

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  • DOI: https://doi.org/10.1007/s002110050418

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