Smooth bijective maps between arbitrary planar polygons

DOI10.1016/j.cagd.2015.03.010zbMath1417.65109OpenAlexW2056075903WikidataQ114202353 ScholiaQ114202353MaRDI QIDQ1632350

Kai Hormann, Teseo Schneider

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.2015.03.010

zbMATH Keywords

harmonic mapsbijective maps

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

On pseudo-harmonic barycentric coordinates ⋮ Parametric finite elements with bijective mappings ⋮ Tetrahedral mesh deformation with positional constraints ⋮ Anisotropic mesh quality measures and adaptation for polygonal meshes

Uses Software

• Ipopt

Cites Work

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• On the injectivity of Wachspress and mean value mappings between convex polygons
• The method of fundamental solutions for elliptic boundary value problems
• The boundary element method
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Computing Discrete Minimal Surfaces and Their Conjugates
• Lifted bijections for low distortion surface mappings
• Locally injective parametrization with arbitrary fixed boundaries
• Provably good planar mappings
• Injectivity can fail for higher-dimensional harmonic extensions
• Mesh Parameterization Methods and Their Applications

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