Error bounds for Loop subdivision surfaces

DOI10.1080/00207160.2013.807917zbMath1302.65050OpenAlexW2047960139MaRDI QIDQ2875306

Xiao-Ming Zeng, Guorong Zhou

Publication date: 14 August 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.807917

zbMATH Keywords

numerical examplerate of convergenceerror bounddistancecontrol meshLoop subdivision surfaces

Mathematics Subject Classification ID

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

Related Items (1)

A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon

Cites Work

• The distance of a subdivision surface to its control polyhedron
• 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

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