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International Conference on Mathematical Methods for Curves and Surfaces

MMCS 2008: Mathematical Methods for Curves and Surfaces pp 93–110Cite as

Compactly Supported Splines with Tension Properties on a Three-Direction Mesh

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5862))

Abstract

In this paper we show that for a regular triangulation it is possible to construct composite triangular C 1 functions with local tension properties which are non-negative and compactly supported. Moreover, they form a partition of unity and reproduce first degree polynomials.

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Author information

Authors and Affiliations

  1. Dip. di Scienze Matematiche ed Informatiche, Università di Siena, Pian dei Mantellini 44, Siena, Italy

    Paolo Costantini & Maria Lucia Sampoli

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, Roma, Italy

    Francesca Pelosi

Authors
  1. Paolo Costantini
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  2. Francesca Pelosi
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  3. Maria Lucia Sampoli
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Editor information

Editors and Affiliations

  1. Department of Informatics, University of Oslo, Norway

    Morten Dæhlen  & Tom Lyche  & 

  2. Department of Informatics and Centre of Mathematics for Applications, University of Oslo, Norway

    Michael Floater

  3. INSA de Rennes, Rennes, France

    Jean-Louis Merrien

  4. Department of Informatics and Centre of Mathematics for Applications, University of Oslo, Oslo, Norway

    Knut Mørken

  5. Department of Mathematics, Vanderbilt University, 37240, Nashville, TN, USA

    Larry L. Schumaker

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Costantini, P., Pelosi, F., Sampoli, M.L. (2010). Compactly Supported Splines with Tension Properties on a Three-Direction Mesh. In: Dæhlen, M., Floater, M., Lyche, T., Merrien, JL., Mørken, K., Schumaker, L.L. (eds) Mathematical Methods for Curves and Surfaces. MMCS 2008. Lecture Notes in Computer Science, vol 5862. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11620-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-11620-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11619-3

  • Online ISBN: 978-3-642-11620-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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