3 papers
cs.CG2021
Chasing Puppies: Mobile Beacon Routing on Closed Curves
Mikkel Abrahamsen, Jeff Erickson, Irina Kostitsyna +5
We solve an open problem posed by Michael Biro at CCCG 2013 that was inspired by his and others' work on beacon-based routing. Consider a human and a puppy on a simple closed curve…
cs.CG2020
Between Shapes, Using the Hausdorff Distance
Marc van Kreveld, Tillmann Miltzow, Tim Ophelders +2
Given two shapes and in the plane with Hausdorff distance , is there a shape with Hausdorff distance to and from and ? The answer is always yes, and dep…
cs.CG2018
Convex partial transversals of planar regions
Vahideh Keikha, Mees van de Kerkhof, Marc van Kreveld +6
We consider the problem of testing, for a given set of planar regions and an integer , whether there exists a convex shape whose boundary intersects at least region…