Univariate approximating schemes and their non-tensor product generalization

DOI10.1515/math-2018-0126zbMath1452.65038OpenAlexW2914441772WikidataQ128496131 ScholiaQ128496131MaRDI QIDQ1738279

Ghulam Mustafa, Robina Bashir

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0126

zbMATH Keywords

monotonicitycontinuitysubdivision schemepolynomial reproductionnon-tensor product

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Designing multi-parameter curve subdivision schemes with high continuity
• Binary univariate dual and primal subdivision schemes
• Convergence, error estimation and some properties of four-point interpolation subdivision scheme
• A family of subdivision schemes with cubic precision
• The \(m\)-point approximating subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Monotonicity preserving interpolatory subdivision schemes
• A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension
• Generalized Lane-Riesenfeld algorithms
• Dual univariate \(m\)-ary subdivision schemes of de Rham-type
• A six-point variant on the Lane-Riesenfeld algorithm
• Monotonicity preserving subdivision schemes
• Visualization of data preserving monotonicity
• A new four-point shape-preserving \(C^3\) subdivision scheme
• Subdivision schemes in geometric modelling
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Simple Regularity Criteria for Subdivision Schemes

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