Abstract
We give a method to generate polynomial approximations to constant mean curvature surfaces with prescribed boundary. We address this problem by finding triangular Bézier extremals of the CMC-functional among all polynomial surfaces with a prescribed boundary. Moreover, we analyze the problem, we give a procedure to obtain solutions once the tangent planes for the boundary curves are also given. © 2008 Springer-Verlag Berlin Heidelberg.
Cite
CITATION STYLE
Arnal, A., Lluch, A., & Monterde, J. (2008). Triangular Bézier approximations to constant mean curvature surfaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5102 LNCS, pp. 96–105). https://doi.org/10.1007/978-3-540-69387-1_11
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