2 papers
cs.CG2022
Universal convex covering problems under translation and discrete rotations
Mook Kwon Jung, Sang Duk Yoon, Hee-Kap Ahn +1
We consider the smallest-area universal covering of planar objects of perimeter 2 (or equivalently closed curves of length 2) allowing translation and discrete rotations. In partic…
cs.CG2019
Empty Squares in Arbitrary Orientation Among Points
Sang Won Bae, Sang Duk Yoon
This paper studies empty squares in arbitrary orientation among a set of points in the plane. We prove that the number of empty squares with four contact pairs is between $…