Quad/triangle subdivision, nonhomogeneous refinement equation and polynomial reproduction

DOI10.1016/j.matcom.2012.04.014zbMath1269.65019OpenAlexW2046215739MaRDI QIDQ1761666

Baobin Li, Qingtang Jiang

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.04.014

zbMATH Keywords

triangular meshsubdivision schemepolynomial reproductionquadrilateral meshsubdivision surfacenonhomegeneous refinement equationquad/triangle mesh

Mathematics Subject Classification ID

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

Related Items (3)

Interpolatory quad/triangle subdivision schemes for surface design ⋮ Inhomogeneous refinement equations with random affine maps ⋮ Regularity of anisotropic refinable functions

Cites Work

• Interpolatory quad/triangle subdivision schemes for surface design
• Accuracy of lattice translates of several multidimensional refinable functions
• Approximation order provided by refinable function vectors
• Analysis of quasi-uniform subdivision.
• Approximation by translates of refinable functions
• Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
• Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices
• Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Unnamed Item

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