27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting

DOI10.1016/j.cagd.2021.101975zbMath1472.65017OpenAlexW3137471751MaRDI QIDQ2020355

Dominik Mokriš, Bert Jüttler, Lisa Groiss

Publication date: 23 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2021.101975

zbMATH Keywords

mesh parameterizationFloater's parameterizationplane near-triangulationTuttes's theorem

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (2)

From Tutte to Floater and Gotsman: on the resolution of planar straight-line drawings and morphs ⋮ GMP2021 - 15th international conference on geometric modeling and processing

Uses Software

• CGAL
• G+Smo

Cites Work

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• Parametrization and smooth approximation of surface triangulations
• Adaptive fitting with THB-splines: error analysis and industrial applications
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• Realization spaces of polytopes
• Discrete one-forms on meshes and applications to 3D mesh parameterization
• One-to-one piecewise linear mappings over triangulations
• A Sufficient Condition for Nonvanishing of Determinants
• How to Draw a Graph
• A Recurring Theorem on Determinants
• Advanced surface fitting techniques

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