Abstract
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.
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© 2003 Springer-Verlag Berlin Heidelberg
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Monterde, J. (2003). The Plateau-Bézier Problem. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_18
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DOI: https://doi.org/10.1007/978-3-540-39422-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20053-6
Online ISBN: 978-3-540-39422-8
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