Statistical and geometrical way of model selection for a family of subdivision schemes

DOI10.1007/S11401-017-1024-6zbMath1381.65014OpenAlexW2751723750MaRDI QIDQ681049

Ghulam Mustafa

Publication date: 30 January 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1024-6

zbMATH Keywords

algorithmconvex polygonsubdivision curveapproximating subdivision schemesB-spline blending functionGibbs oscillationsmodel selection and assessmentstatistical and geometrical methods

Mathematics Subject Classification ID

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

Uses Software

• ElemStatLearn

Cites Work

• Unnamed Item
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• The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A new 4-point \(C^{3}\) quaternary approximating subdivision scheme
• Symmetric iterative interpolation processes
• Construction of \(m\)-point binary approximating subdivision schemes
• The mask of odd points \(n\)-ary interpolating subdivision scheme
• On a nonlinear 4-point quaternary approximating subdivision scheme eliminating the Gibbs phenomenon
• Polynomial reproduction for univariate subdivision schemes of any arity
• Simple Regularity Criteria for Subdivision Schemes
• Generalized and Unified Families of Interpolating Subdivision Schemes
• The elements of statistical learning. Data mining, inference, and prediction

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