The Plateau-Bézier Problem

6533b836fe1ef96bd12a1b75

RESEARCH PRODUCT

The Plateau-Bézier Problem

subject

Polynomial Geometric design Minimal surface Mathematical analysis Constant-mean-curvature surface Geometry Bézier curve Plateau (mathematics)Plateau's problem Bernstein polynomial Mathematics

description

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 Bezier surfaces and minimal surfaces with free boundaries is shown.

year	journal	country	edition	language
2003-01-01

https://doi.org/10.1007/978-3-540-39422-8_18

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