On shape Delaunay tessellations

Franz Aurenhammer, Günter Paulini
2014 Information Processing Letters  
Shape Delaunay tessellations are a generalization of the classical Delaunay triangulation of a finite set of points in the plane, where the empty circle condition is replaced by emptiness of an arbitrary convex compact shape. We present some new and basic properties of shape Delaunay tessellations, concerning flipping, subgraph structures, and recognition.
doi:10.1016/j.ipl.2014.04.007 fatcat:qizm2auzwvcsfaxhlf2d5ifymi