\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements

DOI10.1016/j.cagd.2017.03.003zbMath1366.65012arXiv1703.06717OpenAlexW3103350378MaRDI QIDQ2357695

Ahmed Blidia, Nelly Villamizar, Mourrain, Bernard

Publication date: 14 June 2017

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

Full work available at URL: https://arxiv.org/abs/1703.06717

zbMATH Keywords

syzygiestopological surfacesdimension and bases of spline spacesgeometrically continuous splinesgluing datapolygonal patchessurfaces of arbitrary topologyparametric surface constructions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Syzygies, resolutions, complexes and commutative rings (13D02) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (16)

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Cites Work

• RAGS: rational geometric splines for surfaces of arbitrary topology
• A practical construction of \(G^{1}\) smooth biquintic B-spline surfaces over arbitrary topology
• On the complexity of smooth spline surfaces from quad meshes
• Biquadratic G-spline surfaces
• Geometric continuous patch complexes
• A \(G^ 1\) triangular spline surface of arbitrary topological type
• Freeform splines
• Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology
• Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
• Isogeometric analysis with geometrically continuous functions on two-patch geometries
• Smooth Bézier surfaces over unstructured quadrilateral meshes
• Manifold splines
• Manifold T-Spline

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