Pairs of bi-cubic surface constructions supporting polar connectivity

DOI10.1016/J.CAGD.2008.06.002zbMath1172.65342OpenAlexW2090236665MaRDI QIDQ735514

Ashish Myles, Jörg Peters, Kȩstutis Karčiauskas

Publication date: 22 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.06.002

zbMATH Keywords

subdivisionmesh refinementB-splineNURBSbounded curvaturefinitetensor-product\(C^{1}\)bi-cubiccatmull-clarkPCCM

Mathematics Subject Classification ID

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

Related Items (8)

Isogeometric analysis with \(C^1\) functions on planar, unstructured quadrilateral meshes ⋮ Splines for meshes with irregularities ⋮ A Curvature Smooth Lofting Scheme for Singular Point Treatments ⋮ Smooth polar caps for locally quad-dominant meshes ⋮ Smooth multi-patch discretizations in isogeometric analysis ⋮ An Introduction to Guided and Polar Surfacing ⋮ Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis ⋮ A comparative study of several classical, discrete differential and isogeometric methods for solving Poisson's equation on the disk

Cites Work

• A note on degenerate triangular Bézier patches
• A unified approach to subdivision algorithms near extraordinary vertices
• Analyzing a generalized Loop subdivision scheme
• Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
• TURBS - topologically unrestricted rational B-splines
• Degenerate Bézier patches with continuous curvature
• Shape characterization of subdivision surfaces -- basic principles
• Shape characterization of subdivision surfaces --- case studies
• Subdivision surfaces
• Structural Analysis of Subdivision Surfaces – A Summary

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