A bound on the approximation of a Catmull-Clark subdivision surface by its limit mesh

DOI10.1016/j.cagd.2008.05.002zbMath1172.65329OpenAlexW2154696114MaRDI QIDQ735491

Jiansong Deng, Guo-Ping Wang, Zhang-Jin Huang

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.2008.05.002

zbMATH Keywords

Catmull-Clark subdivision surfacesdistance boundlimit meshsubdivision depth

Mathematics Subject Classification ID

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

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A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon ⋮ Isogeometric analysis of minimal surfaces on the basis of extended Catmull-Clark subdivision ⋮ Subdivision depth computation for tensor product \(n\)-ary volumetric models ⋮ Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods ⋮ Estimating error bounds for quaternary subdivision schemes ⋮ Topology optimization of multimaterial distribution based on isogeometric boundary element and piecewise constant level set method

Cites Work

• Unnamed Item
• Best bounds on the approximation of polynomials and splines by their control structure
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• Estimating error bounds for binary subdivision curves/surfaces
• Matrix Based Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision Surface Patches
• Tight linear envelopes for splines

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