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• W1878245702 abstract "Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic Bézier approximation. A new energy functional called quasi-harmonic energy functional is proposed as the objective function to obtain the quasi-harmonic Bézier surface from given boundaries. The quasi-harmonic mask is also proposed to generate approximate minimal surfaces by solving a sparse linear system. We propose a framework to construct multi-patch quasi-harmonic Bézier approximation from N-sided boundary curves. The efficiency of the proposed methods is illustrated by several modeling examples." @default.
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• W1878245702 date "2015-12-01" @default.
• W1878245702 modified "2023-10-12" @default.
• W1878245702 title "Quasi-harmonic Bézier approximation of minimal surfaces for finding forms of structural membranes" @default.
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• W1878245702 doi "https://doi.org/10.1016/j.compstruc.2015.09.002" @default.
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