The cut locus and Voronoi diagram of a finite set of points in a surface

DOI10.1007/s00229-015-0733-yzbMath1328.53043OpenAlexW1967437789MaRDI QIDQ494730

Nobuhiro Innami, Yuya Uneme, Katsuhiro Shiohama

Publication date: 2 September 2015

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-015-0733-y

zbMATH Keywords

geodesicscut locusVoronoi diagram

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items

Blaschke Finsler manifolds and actions of projective Randers changes on cut loci

Cites Work

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• Filling Riemannian manifolds
• The front of increasing concentric balls and cut locus in a surface
• The cut locus and distance function from a closed subset of a Finsler manifold
• ON A CHARACTERIZATION OF A SURFACE OF REVOLUTION WITH MANY POLES

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