An alternative method for constructing interpolatory subdivision from approximating subdivision

DOI10.1016/J.CAGD.2012.03.008zbMath1253.65023OpenAlexW2159528388MaRDI QIDQ450237

Jianmin Zheng, Xin Li

Publication date: 13 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2012.03.008

zbMATH Keywords

geometric modelingsubdivision algorithmsapproximating subdivisioninterpolatory subdivision

Mathematics Subject Classification ID

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

Related Items (7)

On extraordinary rules of quad-based interpolatory subdivision schemes ⋮ Non-uniform Doo-Sabin subdivision surface via eigen polygon ⋮ Non-uniform interpolatory subdivision surface ⋮ Convergence analysis of regular dynamic Loop-like subdivision scheme ⋮ On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon ⋮ Six-point subdivision schemes with cubic precision ⋮ On the application of Lehmer means in signal and image processing

Cites Work

• Unnamed Item
• A unified approach to subdivision algorithms near extraordinary vertices
• A 4-point interpolatory subdivision scheme for curve design
• From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
• A butterfly subdivision scheme for surface interpolation with tension control
• Polyhedral subdivision methods for free-form surfaces
• Quasi 4--8 subdivision
• 4--8 Subdivision

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