A combined approximating and interpolating ternary 4-point subdivision scheme

DOI10.1016/j.cam.2018.09.014OpenAlexW2890688967WikidataQ129225212 ScholiaQ129225212MaRDI QIDQ1713138

Shuo Tang, Li Zhang, Jie-qing Tan, Huan-huan Ma

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.014

zbMATH Keywords

continuityfractalscombined subdivisionpolynomial reproductionpolynomial generation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ A few conjectures on a four-point interpolatory subdivision scheme ⋮ Interpolating \(m\)-refinable functions with compact support: the second generation class ⋮ A new paradigm to design a class of combined ternary subdivision schemes ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials

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