Stationary and nonstationary affine combination of subdivision masks

DOI10.1016/j.matcom.2009.11.004zbMath1213.65031OpenAlexW1996732566MaRDI QIDQ622194

Constanza Conti

Publication date: 31 January 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.11.004

zbMATH Keywords

curvessurfacessymbolsaffine combinationnon stationary subdivision schemesstationary subdivision schemes

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Limits of level and parameter dependent subdivision schemes: a matrix approach ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ Scalar multivariate subdivision schemes and box splines

Cites Work

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• Totally positive functions through nonstationary subdivision schemes
• Using parameters to increase smoothness of curves and surfaces generated by subdivision
• Approximation by GP box-splines on a four-direction mesh
• Smoothed hat functions in subdivision
• A 4-point interpolatory subdivision scheme for curve design
• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• Analysis of asymptotically equivalent binary subdivision schemes
• Convergence of nonstationary cascade algorithms
• Subdivision schemes in geometric modelling

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