Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type

DOI10.1016/j.cagd.2012.08.001zbMath1280.65023OpenAlexW2045600219MaRDI QIDQ691784

Lucia Romani, N. Richter-Dyn, Constanza Conti

Publication date: 4 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2012.08.001

zbMATH Keywords

controllabilityconvergencenumerical examplessmoothnessproximityblendingDubuc-Deslauriers interpolatory subdivisioninterpolatory net subdivisionZ-splines

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (4)

On the norms of the Dubuc-Deslauriers subdivision schemes ⋮ Analysis of subdivision schemes for nets of functions by proximity and controllability ⋮ Convergence analysis of corner cutting algorithms refining nets of functions ⋮ A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc–Deslauriers subdivision scheme

Cites Work

• Unnamed Item
• Blending based corner cutting subdivision scheme for nets of curves
• Analysis of subdivision schemes for nets of functions by proximity and controllability
• Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines
• Symmetric iterative interpolation processes
• New spline basis functions for sampling approximations
• Simple Regularity Criteria for Subdivision Schemes
• Dubuc--Deslauriers Subdivision for Finite Sequences and Interpolation Wavelets on an Interval

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