Riemannian metric of harmonic parametrization of geodesic quadrangles and quasi-isometric grids

DOI10.1016/J.MATCOM.2008.04.001zbMath1147.65016OpenAlexW1979021078MaRDI QIDQ942290

Gennadii A. Chumakov

Publication date: 5 September 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.04.001

zbMATH Keywords

Riemannian metricconformal mappingBeltrami equationsgeodesic quadranglesnon-Euclidian geometriesquasi-isometric mapping

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• A method for the \(2-D\) quasi-isometric regular grid generation
• On 2D quasi-isometric regular grids that are orthogonal far from corners
• Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature
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