Nonlinear subdivision using local spherical coordinates

DOI10.1016/S0167-8396(03)00028-1zbMath1069.65543OpenAlexW2153156868MaRDI QIDQ2388503

Touradj Ebrahimi, Nicolas Aspert, Pierre Vandergheynst

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(03)00028-1

zbMATH Keywords

nonlinear subdivisiondiscrete surfaceunivariate data

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (12)

Generating planar spiral by geometry driven subdivision scheme ⋮ Incenter subdivision scheme for curve interpolation ⋮ Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms ⋮ Odd-ary approximating subdivision schemes and RS strategy for irregular dense initial data ⋮ Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme ⋮ A non-linear circle-preserving subdivision scheme ⋮ Subdivision depth computation for tensor product \(n\)-ary volumetric models ⋮ Nonlinear weighted average and blossoming ⋮ Normal based subdivision scheme for curve design ⋮ Nonlinear subdivision through nonlinear averaging ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ Convexity preserving interpolatory subdivision with conic precision

Uses Software

• MESH

Cites Work

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• Sur les courbes limités de polygones obtenus par trisection
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Interpolatory convexity-preserving subdivision schemes for curves and surfaces
• Convexity preserving interpolatory subdivision schemes
• Regularity of irregular subdivision
• Quasilinear subdivision schemes with applications to ENO interpolation.
• Shape preserving interpolatory subdivision schemes for nonuniform data
• A butterfly subdivision scheme for surface interpolation with tension control
• Stationary subdivision
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• A Method for Analysis ofC¹-Continuity of Subdivision Surfaces
• Nonstationary Subdivision Schemes and Multiresolution Analysis
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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