Geometric dilation of closed curves in normed planes

DOI10.1016/j.comgeo.2008.06.001zbMath1161.65014OpenAlexW1968950445MaRDI QIDQ1005328

Senlin Wu, Horst Martini

Publication date: 9 March 2009

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2008.06.001

zbMATH Keywords

Minkowski planeconvex curvearc lengthrectificationconvex geometrystrictly convex normnormed planedetourgeometric dilationhalving pairMinkowskian circles

Mathematics Subject Classification ID

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

Related Items (5)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ On isoperimetric inequalities in Minkowski spaces ⋮ The classification of convex polygons with triangular area or perimeter bisecting deltoids

Cites Work

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• On the geometric dilation of closed curves, graphs, and point sets
• Geometric dilation of closed planar curves: New lower bounds
• Computing the detour and spanning ratio of paths, trees, and cycles in 2D and 3D
• Self-approaching curves
• An "Obvious" but Useful Theorem about Closed Curves
• On Closed Curves in Minkowski Spaces
• Generalized self-approaching curves
• The geometry of Minkowski spaces -- a survey. I

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