A ternary three-point scheme for curve designing

DOI10.1080/00207160802428220zbMath1205.65107OpenAlexW2043847562MaRDI QIDQ5747713

Shahid S. Siddiqi, Kashif Rehan

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802428220

zbMATH Keywords

convergenceLaurent polynomialmaskternary subdivision schemegenerating curvesquadratic B-spline basis functions

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17)

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Ternary \(2N\)-point Lagrange subdivision schemes, Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function, Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter, Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters, Curve subdivision schemes for geometric modelling, A new non-stationary binary 6-point subdivision scheme, A family of ternary subdivision schemes for curves, Ternary shape-preserving subdivision schemes, Modified form of binary and ternary 3-point subdivision schemes, Improved binary four point subdivision scheme and new corner cutting 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, Multiresolution representation for curves based on ternary subdivision schemes

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