Efficient evaluation of subdivision schemes with polynomial reproduction property

DOI10.1016/j.cam.2015.09.008zbMath1327.65031OpenAlexW1668107054MaRDI QIDQ893141

Chongyang Deng, Weiyin Ma

Publication date: 13 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.008

zbMATH Keywords

algorithmerror boundsystem of linear equationspolynomial reproduction4-point interpolatory subdivision schemeexact evaluation methodgeneration of free-form curves and surfacesStam's methodternary 4-point interpolatory subdivision scheme

Mathematics Subject Classification ID

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

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Cites Work

• Exact evaluation of limits and tangents for interpolatory subdivision surfaces at rational points
• A family of subdivision schemes with cubic precision
• Exact evaluation of limits and tangents for non-polynomial subdivision schemes
• Pseudo-splines, wavelets and framelets
• Polynomial reproduction by symmetric subdivision schemes
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Concerning order of convergence for subdivision
• Interpolation through an iterative scheme
• Polynomial reproduction for univariate subdivision schemes of any arity
• Interpolatory ternary subdivision surfaces
• A butterfly subdivision scheme for surface interpolation with tension control
• A unified interpolatory subdivision scheme for quadrilateral meshes
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme