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Multilevel scattered data approximation by adaptive domain decomposition

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Abstract

A new multilevel approximation scheme for scattered data is proposed. The scheme relies on an adaptive domain decomposition strategy using quadtree techniques (and their higher-dimensional generalizations). It is shown in the numerical examples that the new method achieves an improvement on the approximation quality of previous well-established multilevel interpolation schemes.

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Authors and Affiliations

  1. Department of Mathematics, University of Leicester, Leicester, LE1 7RH, UK

    Armin Iske & Jeremy Levesley

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  1. Armin Iske
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  2. Jeremy Levesley
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Correspondence to Armin Iske.

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AMS subject classification

65D15, 65D05, 65D07, 65D17

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Iske, A., Levesley, J. Multilevel scattered data approximation by adaptive domain decomposition. Numer Algor 39, 187–198 (2005). https://doi.org/10.1007/s11075-004-3629-6

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  • DOI: https://doi.org/10.1007/s11075-004-3629-6

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