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Wachspress and Mean Value Coordinates

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Approximation Theory XIV: San Antonio 2013

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 83))

Abstract

This paper gives a brief survey of two kinds of generalized barycentric coordinates, Wachspress and mean value coordinates, and their applications. Applications include surface parameterization in geometric modeling, curve and surface deformation in computer graphics, and their use as nodal shape functions for polygonal and polyhedral finite element methods.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Oslo, Blindern, Moltke Moes vei 35, PO Box 1053, 0316, Oslo, Norway

    Michael S. Floater

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  1. Michael S. Floater
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Correspondence to Michael S. Floater .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois, USA

    Gregory E. Fasshauer

  2. Department of Mathematics, Vanderbilt University, Nashville, Tennessee, USA

    Larry L. Schumaker

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Floater, M.S. (2014). Wachspress and Mean Value Coordinates. In: Fasshauer, G., Schumaker, L. (eds) Approximation Theory XIV: San Antonio 2013. Springer Proceedings in Mathematics & Statistics, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-319-06404-8_6

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