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International Conference on Computational Science and Its Applications

ICCSA 2003: Computational Science and Its Applications — ICCSA 2003 pp 366–375Cite as

Triangular Bézier Surfaces of Minimal Area

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2669))

Abstract

We study some methods of obtaining approximations to surfaces of minimal area with prescribed border using triangular Bézier patches. Some methods deduced from a variational principle are proposed and compared with some masks.

This work has been partially supported ministry of Sci. and Tech. BFM2002-00770 and Bancaixa-Universitat Jaume I, P1-1A2002-110.

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References

  1. C. Cosín, J. Monterde, Bézier surfaces of minimal area, Proceedings of the Int. Conf. of Computational Science, ICCS’2002, Amsterdam, eds. Sloot, Kenneth Tan, Dongarra, Hoekstra, LNCS 2330, vol II, pages 72–81, Springer-Verlag, (2002).

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  2. G. Farin, D. Hansford, Discrete Coons patches, CAGD 16, 691–700 (1999).

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  3. J. Gallier, Curves and surfaces in Geometric Modeling, Morgan Kaufmann publishers, S.Francisco, California, (2000).

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  4. J. Hoscheck and D. Lasser, Fundamentals of Computer Aided Geometric Design, A.K.Peters, Wellesley, (1993).

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  5. J. Monterde, B’ezier surfaces of minimal area: The Dirichlet approach, preprint.

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  6. R. Veltkamp, W. Wesselink, Variational Modeling of triangular B’ezier Surfaces, pr.

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Author information

Authors and Affiliations

  1. Dep. de Matemàtiques, Universitat Jaume I, Castelló, Spain

    A. Arnal & A. Lluch

  2. Dep. de Geometria i Topologia, Universitat de València, Burjassot (València), Spain

    J. Monterde

Authors
  1. A. Arnal
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  2. A. Lluch
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  3. J. Monterde
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA University of Minessota Department of Computer Science and Engineering, MN, 55455, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. School of Computer Science, The Queen’s University of Belfast, Belfast, BT7 1NN, Northern Ireland UK

    Chih Jeng Kenneth Tan

  5. Département d’informatique et de recherche opérationelle Montréal, Université de Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

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© 2003 Springer-Verlag Berlin Heidelberg

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Cite this paper

Arnal, A., Lluch, A., Monterde, J. (2003). Triangular Bézier Surfaces of Minimal Area. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44842-X_38

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  • DOI: https://doi.org/10.1007/3-540-44842-X_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40156-8

  • Online ISBN: 978-3-540-44842-6

  • eBook Packages: Springer Book Archive

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