Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfaces

DOI10.1007/978-3-642-11620-9_16zbMath1274.65039OpenAlexW1545429979MaRDI QIDQ5189421

Annick Montanvert, François Destelle, Cédric Gérot

Publication date: 16 March 2010

Published in: Mathematical Methods for Curves and Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11620-9_16

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra
• A unified approach to subdivision algorithms near extraordinary vertices
• Concentric tessellation maps and curvature continuous guided surfaces
• Smoothness of subdivision surfaces at extraordinary points
• A generative classification of mesh refinement rules with lattice transformations
• Subdivision scheme tuning around extraordinary vertices
• Shape characterization of subdivision surfaces -- basic principles
• Shape characterization of subdivision surfaces --- case studies
• A degree estimate for subdivision surfaces of higher regularity
• 4--8 Subdivision
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