The Plateau-Bézier Problem

  • Juan Monterde
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2768)


We study the Plateau problem restricted to polynomial surfaces using techniques coming from the theory of Computer Aided Geometric Design. The results can be used to obtain polynomial approximations to minimal surfaces. The relationship between harmonic Bézier surfaces and minimal surfaces with free boundaries is shown.


Control Point Free Boundary Minimal Surface Minimal Area Bernstein Polynomial 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Juan Monterde
    • 1
  1. 1.Dpt. de Geometria i TopologiaUniversitat de ValènciaBurjassot (València)Spain

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