Shape control of Bézier surfaces with iso-parametric monotone curvature constraints

DOI10.1016/S0167-8396(03)00080-3zbMath1069.65537MaRDI QIDQ2388520

Luzou Zhang, Bingyan Zhao, Shuchun Wang, Yu-Lin Wang

Publication date: 14 September 2005

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

shape controlBézier surfacemonotone iso-parametric curvature variation

Mathematics Subject Classification ID

Nonlinear programming (90C30) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Class A Bézier curves

Cites Work

• Smoothing surfaces using reflection lines for families of splines
• Automatic construction of surfaces with prescribed shape
• Surface shape control using constrained optimization on the B-spline representation
• Controlling the curvature of a quadratic Bézier curve
• A shape controled fitting method for Bézier curves
• An SQP method for general nonlinear programs using only equality constrained subproblems
• A new technique for inconsistent QP problems in the SQP method
• Surfaces with prescribed curvature. I
• Direct highlight line modification on NURBS surfaces
• Removing local irregularities of NURBS surfaces by modifying highlight lines.
• Designing Bézier conic segments with monotone curvature

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