An interpolating 6-point \(C^2\) non-stationary subdivision scheme

DOI10.1016/j.cam.2008.11.006zbMath1171.65010OpenAlexW183873540MaRDI QIDQ1026442

Sunita Daniel, P. Shunmugaraj

Publication date: 25 June 2009

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.2008.11.006

zbMATH Keywords

convergencesubdivisioncomputer graphicscurvessurfacesInterpolationnon-stationary subdivisiongeometric modelling\(C^2\) continuity

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

Related Items (8)

Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces ⋮ Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function ⋮ Family of odd point non-stationary subdivision schemes and their applications ⋮ A new non-stationary binary 6-point subdivision scheme ⋮ Hyperbolic forms of ternary non-stationary subdivision schemes originated from hyperbolic B-splines ⋮ A new class of odd-point ternary non-stationary approximating schemes ⋮ A family of 4-point odd-ary non-stationary subdivision schemes ⋮ A new class of \(2m\)-point binary non-stationary subdivision schemes

Cites Work

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• A newton form for trigonometric Hermite interpolation
• A subdivision scheme for surfaces of revolution
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
• A subdivision algorithm for trigonometric spline curves

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