Triangular Bézier surfaces of minimal area

Authors:
A. Arnal;A. Lluch;J. Monterde
Affiliations:
Dep. de Matemàtiques, Universitat Jaume I, Castelló, Spain;Dep. de Matemàtiques, Universitat Jaume I, Castelló, Spain;Dep. de Geometria i Topologia, Universitat de València, València, Spain
Venue:
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Year:
2003

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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.