Minimal bi-6 \(G^2\) completion of bicubic spline surfaces

DOI10.1016/j.cagd.2015.10.005zbMath1417.65082OpenAlexW2174386445MaRDI QIDQ1632392

Kȩstutis Karčiauskas, Jörg Peters

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2015.10.005

zbMATH Keywords

curvature continuityspline surfacebi-cubicbi-6multi-sided caps

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Splines for meshes with irregularities ⋮ Refinable tri-variate \(C^1\) splines for box-complexes including irregular points and irregular edges ⋮ Blending Bézier patch for multi-sided surface modeling ⋮ Multi-sided completion of \(C^2\) bi-3 and \(C^1\) bi-2 splines: a unifying approach ⋮ Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations ⋮ Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces

Cites Work

• Unnamed Item
• Concentric tessellation maps and curvature continuous guided surfaces
• Degree estimates for \(C^k\)-piecewise polynomial subdivision surfaces
• Irregular \(C^{2}\) surface construction using bi-polynomial rectangular patches
• TURBS - topologically unrestricted rational B-splines
• Freeform splines
• \(C^{2}\) free-form surfaces of degree (3,5)
• Bézier and B-spline techniques

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