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The plateau-Bézier problem. (English) Zbl 1274.65047

Wilson, Michael J. (ed.) et al., Mathematics of surfaces. 10th IMA international conference, Leeds, UK, September 15–17, 2003. Proceedings. Berlin: Springer (ISBN 3-540-20053-3/pbk). Lect. Notes Comput. Sci. 2768, 262-273 (2003).
Summary: 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.
For the entire collection see [Zbl 1027.00027].

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
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