Four-point \(n\)-ary interpolating subdivision schemes

DOI10.1155/2013/893414zbMath1286.65015OpenAlexW2006048332WikidataQ58989350 ScholiaQ58989350MaRDI QIDQ2448834

Ghulam Mustafa, Robina Bashir

Publication date: 5 May 2014

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/893414

Mathematics Subject Classification ID

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

Cites Work

• Variations on the four-point subdivision scheme
• The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Interpolation through an iterative scheme
• Generalized Lane-Riesenfeld algorithms
• The mask of odd points \(n\)-ary interpolating subdivision scheme
• Composite primal/dual \(\sqrt 3\)-subdivision schemes
• 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
• Simple Regularity Criteria for Subdivision Schemes
• A unified framework for primal/dual quadrilateral subdivision schemes
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