Construction of Bézier Surfaces from Prescribed Boundary

DOI10.4208/jcm.2106-m2021-0050OpenAlexW4320516411MaRDI QIDQ5881396

Yong-Xia Hao, Ting Li

Publication date: 10 March 2023

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2106-m2021-0050

zbMATH Keywords

quadratic functionalBézier surfaceboundary control pointstriharmonic equation

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Construction of triharmonic Bézier surfaces from boundary conditions
• Bézier surfaces of minimal area: the Dirichlet approach
• On harmonic and biharmonic Bézier surfaces
• Explicit Bézier control net of a PDE surface
• On the existence of biharmonic tensor-product Bézier surface patches
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• Mathematics of Surfaces
• Mathematics of Surfaces XI

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