A symmetric non-stationary subdivision scheme

DOI10.1112/S1461157013000375zbMath1294.41005OpenAlexW2120577577MaRDI QIDQ5170263

Shahid S. Siddiqi, Muhammad Younis

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157013000375

zbMATH Keywords

Hölder regularitynon-stationary subdivision schemes4-point ternary approximating schemestrigonometric B-spline basis functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Mixed hyperbolic/trigonometric non-stationary subdivision scheme ⋮ Hyperbolic forms of ternary non-stationary subdivision schemes originated from hyperbolic B-splines

Cites Work

• An approximating \(C^{2}\) non-stationary subdivision scheme
• Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A family of subdivision schemes with cubic precision
• A 4-point interpolatory subdivision scheme for curve design
• Control curves and knot intersection for trigonometric splines
• Analysis of asymptotically equivalent binary subdivision schemes
• A ternary 4-point approximating subdivision scheme
• Polynomial reproduction for univariate subdivision schemes of any arity
• Curve subdivision schemes for geometric modelling
• Subdivision schemes in geometric modelling

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