The Min-Max Voronoi Diagram of Polygons and Applications in VLSI Manufacturing [chapter]

Evanthia Papadopoulou, D.T. Lee
2002 Lecture Notes in Computer Science  
We study the min-max Voronoi diagram of a set S of polygonal objects, a generalization of Voronoi diagrams based on the maximum distance between a point and a polygon. We show that the min-max Voronoi diagram is equivalent to the Voronoi diagram under the Hausdorff distance function. We investigate the combinatorial properties of this diagram and give improved combinatorial bounds and algorithms. As a byproduct we introduce the min-max hull which relates to the minmax Voronoi diagram in the way
more » ... a convex hull relates to the ordinary Voronoi diagram.
doi:10.1007/3-540-36136-7_45 fatcat:l2gjmnkoyfejxnjferkopkpb7q