Blending Bézier patch for multi-sided surface modeling

DOI10.1016/j.cagd.2023.102222OpenAlexW4380884351MaRDI QIDQ6178760

Ya-Juan Li, Kaikai Qin, Chongyang Deng

Publication date: 5 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2023.102222

zbMATH Keywords

hole fillingfree-form surfaces\( G^2\) continuityGregory corner blendingmulti-sided Bézier patch

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

• Concentric tessellation maps and curvature continuous guided surfaces
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• A pentagonal surface patch for computer aided geometric design
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• The Zheng-Ball construction without twist constraints
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• Filling polygonal holes with bicubic patches
• Control point surfaces over non-four-sided areas
• Ribbon-based transfinite surfaces
• Minimal bi-6 \(G^2\) completion of bicubic spline surfaces
• Multisided generalisations of Gregory patches
• Conversion of B-rep CAD models into globally \(G^1\) triangular splines
• Low degree splines for locally quad-dominant meshes
• Splines for meshes with irregularities
• Multi-sided B-spline surfaces over curved, multi-connected domains
• Multisided arrays of control points for multisided Bézier patches
• Enhancement of a multi-sided Bézier surface representation
• A multisided generalization of Bézier surfaces
• Creating multisided rational Bézier surfaces using base points

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