Repeated local operations for \(m\)-ary \(2N\)-point Dubuc-Deslauriers subdivision schemes

DOI10.1016/j.cagd.2016.04.001zbMath1418.65019OpenAlexW2345247989MaRDI QIDQ1632447

Chongyang Deng, Ya-Juan Li, Hui-Xia Xu

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2016.04.001

zbMATH Keywords

\(m\)-ary Dubuc-Deslauriers interpolatory subdivisionrepeated local operations

Mathematics Subject Classification ID

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

Related Items (2)

Repeated local operations and associated interpolation properties of dual \(2n\)-point subdivision schemes ⋮ A few conjectures on a four-point interpolatory subdivision scheme

Cites Work

• Symmetric iterative interpolation processes
• Pyramid algorithms for barycentric rational interpolation
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• A unified interpolatory subdivision scheme for quadrilateral meshes
• On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
• A unified framework for primal/dual quadrilateral subdivision schemes

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