Multisided generalisations of Gregory patches

DOI10.1016/J.CAGD.2018.03.005zbMath1505.65063OpenAlexW2790605072WikidataQ130114285 ScholiaQ130114285MaRDI QIDQ1644374

Jiří Kosinka, Gerben Jan Hettinga

Publication date: 21 June 2018

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

Full work available at URL: https://pure.rug.nl/ws/files/55917725/Author_s_version_Multisided_Generalisations_of_Gregory_Patches.pdf

zbMATH Keywords

local interpolationGregory patchesgeneralised barycentric coordinatesmultisided Bézier patches

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

Two new triangular \(\operatorname{G}^1\)-conforming finite elements with cubic edge rotation for the analysis of Kirchhoff plates ⋮ Splines for meshes with irregularities ⋮ Numerical quadrature for Gregory quads ⋮ Blending Bézier patch for multi-sided surface modeling ⋮ Multi-sided B-spline surfaces over curved, multi-connected domains ⋮ Localized G-splines for quad \& T-gon meshes ⋮ Colour interpolants for polygonal gradient meshes ⋮ Multi-sided completion of \(C^2\) bi-3 and \(C^1\) bi-2 splines: a unifying approach ⋮ An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies ⋮ Exact sphere representations over Platonic solids based on rational multisided Bézier patches ⋮ An Improved Algorithm for Scattered Data Interpolation Using Quartic Triangular Bézier Surfaces

Cites Work

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• Enhancement of a multi-sided Bézier surface representation
• A construction for visualC1 continuity of polynomial surface patches
• A multisided generalization of Bézier surfaces
• Generalized barycentric coordinates and applications
• The \(n-\)sided control point surfaces without twist constraints

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