A six-point variant on the Lane-Riesenfeld algorithm

DOI10.1155/2014/628285zbMath1442.65014OpenAlexW2038737497WikidataQ59053858 ScholiaQ59053858MaRDI QIDQ2336600

Jiansong Deng, Pakeeza Ashraf, Ghulam Mustafa

Publication date: 19 November 2019

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

Full work available at URL: https://doi.org/10.1155/2014/628285

Mathematics Subject Classification ID

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

Related Items (7)

Construction and analysis of binary subdivision schemes for curves and surfaces originated from Chaikin points ⋮ A shape-preserving variant of Lane-Riesenfeld algorithm ⋮ Families of univariate and bivariate subdivision schemes originated from quartic B-spline ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes ⋮ Family of \(a\)-point \(b\)-ary subdivision schemes with Bell-shaped mask ⋮ Univariate approximating schemes and their non-tensor product generalization

Cites Work

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• The mask of odd points \(n\)-ary interpolating subdivision scheme
• Polynomial reproduction for univariate subdivision schemes of any arity
• Subdivision schemes in geometric modelling
• Toeplitz and Circulant Matrices: A Review
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Simple Regularity Criteria for Subdivision Schemes
• Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
• Generalized and Unified Families of Interpolating Subdivision Schemes
• Mathematics of Surfaces XI

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