A new cross subdivision scheme for surface design

DOI10.1016/j.jmaa.2010.09.013zbMath1210.65041OpenAlexW2077402895MaRDI QIDQ601323

Yonggao Yang, Jian-ao Lian

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.013

zbMATH Keywords

subdivisionsurface designrefinable functionsextraordinary verticesinterpolatory

Mathematics Subject Classification ID

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

Related Items

Quasi-interpolating bivariate dual \(\sqrt{ 2}\)-subdivision using 1D stencils

Uses Software

• Stanford 3D Scanning Repository

Cites Work

• A unified approach to subdivision algorithms near extraordinary vertices
• Composite \(\sqrt{2}\) subdivision surfaces
• From extension of Loop's approximation scheme to interpolatory subdivisions
• Smoothness of subdivision surfaces at extraordinary points
• Box splines
• Triangular \(\sqrt 3\)-subdivision schemes: The regular case
• Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case
• Subdivision surfaces
• Designing composite triangular subdivision schemes
• 4--8 Subdivision
• A unified framework for primal/dual quadrilateral subdivision schemes
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