Variations on the four-point subdivision scheme

DOI10.1016/j.cagd.2009.09.002zbMath1210.65052OpenAlexW2084492785WikidataQ59751075 ScholiaQ59751075MaRDI QIDQ631005

Malcolm A. Sabin, Neil A. Dodgson, U. H. Augsdörfer

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.09.002

zbMATH Keywords

curvaturesubdivisiongraphical examplescircle preservingfour-point schemegeometric sensitivity

Mathematics Subject Classification ID

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

Related Items (11)

Convexity preservation of five-point binary subdivision scheme with a parameter ⋮ A smoothness criterion for monotonicity-preserving subdivision ⋮ Four point interpolatory-corner cutting subdivision ⋮ Bivariate non-uniform subdivision schemes based on L-systems ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ A new four-point shape-preserving \(C^3\) subdivision scheme ⋮ Four-point \(n\)-ary interpolating subdivision schemes ⋮ A combined binary 6-point subdivision scheme ⋮ A combined ternary 4-point subdivision scheme ⋮ A class of shape preserving 5-point n-ary approximating schemes ⋮ Shape controlled interpolatory ternary subdivision

Cites Work

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• Four-point curve subdivision based on iterated chordal and centripetal parameterizations
• Rational quadratic circles are parametrized by chord length
• A family of subdivision schemes with cubic precision
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Convexity preservation of the four-point interpolatory subdivision scheme
• Interpolation through an iterative scheme
• Composite primal/dual \(\sqrt 3\)-subdivision schemes
• Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Mathematics of Surfaces XI
• A unified framework for primal/dual quadrilateral subdivision schemes

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