A new variant of Lane-Riesenfeld algorithm with two tension parameters

DOI10.1016/j.cagd.2018.06.004zbMath1505.65090OpenAlexW2810769517WikidataQ129647881 ScholiaQ129647881MaRDI QIDQ1711791

Jun Shi, Li Zhang, Zhi Liu, Jie-qing Tan

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.06.004

zbMATH Keywords

subdivisiontension parameterB-spline refinementHormann-Sabin's family

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

A shape-preserving variant of Lane-Riesenfeld algorithm

Cites Work

• Non-uniform subdivision for B-splines of arbitrary degree
• A family of subdivision schemes with cubic precision
• Nonlinear subdivision through nonlinear averaging
• Improved binary four point subdivision scheme and new corner cutting scheme
• A 4-point interpolatory subdivision scheme for curve design
• A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension
• Interpolation through an iterative scheme
• Generalized Lane-Riesenfeld algorithms
• Dual univariate \(m\)-ary subdivision schemes of de Rham-type
• Polynomial reproduction for univariate subdivision schemes of any arity
• Subdivision schemes in geometric modelling
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
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