6533b829fe1ef96bd128ab6d

RESEARCH PRODUCT

Triangular Bézier Approximations to Constant Mean Curvature Surfaces

Juan MonterdeA. LluchAna Arnal

subject

PolynomialMean curvaturePolynomial approximationsMathematical analysisTangent spaceBoundary (topology)TangentBézier curveMathematics::Differential GeometryConstant (mathematics)Mathematics

description

We give a method to generate polynomial approximations to constant mean curvature surfaces with prescribed boundary. We address this problem by finding triangular Bezier extremals of the CMC-functional among all polynomial surfaces with a prescribed boundary. Moreover, we analyze the $\mathcal{C}^1$ problem, we give a procedure to obtain solutions once the tangent planes for the boundary curves are also given.

yearjournalcountryeditionlanguage
2008-01-01
https://doi.org/10.1007/978-3-540-69387-1_11