Local energy-optimizing subdivision algorithms

DOI10.1016/j.cagd.2007.08.003zbMath1172.65326OpenAlexW2162882118MaRDI QIDQ735458

I. Ginkel, Georg Umlauf

Publication date: 22 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.08.003

zbMATH Keywords

constrained optimizationeigenvaluessubdivision algorithmsalgorithm of catmull-clarkalgorithm of loopthin-plate energy

Mathematics Subject Classification ID

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

Related Items (1)

Multiresolution Analysis for Minimal Energy C r -Surfaces on Powell-Sabin Type Meshes

Uses Software

• OPT++

Cites Work

• A variational approach to subdivision
• A unified approach to subdivision algorithms near extraordinary vertices
• Ternary subdivision for quadrilateral meshes
• Symmetry of shape charts
• Analyzing a generalized Loop subdivision scheme
• Smoothness of subdivision surfaces at extraordinary points
• Subdivision scheme tuning around extraordinary vertices
• Shape characterization of subdivision surfaces -- basic principles
• Shape characterization of subdivision surfaces --- case studies
• Tuning Subdivision Algorithms Using Constrained Energy Optimization
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