A measure of non-convexity in the plane and the Minkowski sum

Details A measure of non-convexity in the plane and the Minkowski sum A measure of non-convexity in the plane and the Minkowski sum

2010-05-07

arxiv.org/abs/1005.1140v1

Discrete and Computational Geometry, 44:3, 2010, 608-621

Mathematics

Metric Geometry

5 figures; Discrete and Computational Geometry, 2010

Scientific paper

10.1007/s00454-010-9258-z

In this paper a measure of non-convexity for a simple polygonal region in the
plane is introduced. It is proved that for "not far from convex" regions this
measure does not decrease under the Minkowski sum operation, and guarantees
that the Minkowski sum has no "holes".

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