A Convex Cover for Closed Unit Curves has Area at Least 0.0975

DOI10.1142/S0218195920500065MaRDI QIDQ5012869

Bogdan Grechuk, Sittichoke Som-am

Publication date: 26 November 2021

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00333

zbMATH Keywords

convex hullclosed curvesworm problemconvex cover

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (2)

Universal convex covering problems under translations and discrete rotations ⋮ Viterbo's conjecture as a worm problem

Cites Work

• Covers for closed curves of length two
• An improved upper bound for Leo Moser's worm problem
• A convex cover for closed unit curves has area at least 0.1
• Boxes for curves of constant length
• Der zentralsymmetrische Kern und die zentralsymmetrische Hülle von konvexen Körpern
• LOWER BOUND FOR CONVEX HULL AREA AND UNIVERSAL COVER PROBLEMS
• Packing smooth curves inR^q
• A smaller cover for closed unit curves
• Minimal Covers for Closed Curves
• A LOWER BOUND FOR LEBESGUE'S UNIVERSAL COVER PROBLEM

This page was built for publication: A Convex Cover for Closed Unit Curves has Area at Least 0.0975