Estimating error bounds for tensor product binary subdivision volumetric model

DOI10.1080/00207160601117263zbMath1153.65318OpenAlexW2066467508MaRDI QIDQ3438785

Ghulam Mustafa, Sadiq Hashmi, Nusrat Anjum Noshi

Publication date: 29 May 2007

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

Full work available at URL: https://doi.org/10.1080/00207160601117263

zbMATH Keywords

error boundcontrol polyhedronvolumetric subdivision

Mathematics Subject Classification ID

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

Related Items (3)

A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon ⋮ Subdivision depth computation for tensor product \(n\)-ary volumetric models ⋮ Estimating error bounds for quaternary subdivision schemes

Cites Work

• Using parameters to increase smoothness of curves and surfaces generated by subdivision
• A 4-point interpolatory subdivision scheme for curve design
• 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
• Bounding the distance between 2D parametric Bézier curves and their control polygon
• Estimating error bounds for binary subdivision curves/surfaces
• Computational formula of depth for Catmull-Clark subdivision surfaces
• Analysis of uniform binary subdivision schemes for curve design
• Estimating subdivision depths for rational curves and surfaces

This page was built for publication: Estimating error bounds for tensor product binary subdivision volumetric model