Designing Bézier surfaces minimizing the \(L^2\)-norm of the Gaussian curvature

DOI10.1631/jzus.2007.A0142zbMath1117.65030OpenAlexW1996515194MaRDI QIDQ886406

Minghua Wu, Guoliang Mo

Publication date: 27 June 2007

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.2007.a0142

zbMATH Keywords

nonlinear optimizationtexture mappingdevelopable surfaces\(L^2\)-integral normgraphical exampletensor product polynomial surfacestrust-region form method

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Surface fairing and featuring by mean curvature motions.
• Approximation algorithms for developable surfaces
• Bézier surfaces of minimal area: the Dirichlet approach
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• Shape modification of Bézier curves by constrained optimization