# The Geometric Stability of Voronoi Diagrams with Respect to Small Changes of the Sites

@inproceedings{Reem2011TheGS, title={The Geometric Stability of Voronoi Diagrams with Respect to Small Changes of the Sites}, author={Daniel Reem}, booktitle={SoCG '11}, year={2011} }

Voronoi diagrams appear in many areas in science and technology and have numerous applications. They have been the subject of extensive investigation during the last decades. Roughly speaking, they are a certain decomposition of a given space into cells, induced by a distance function and by a tuple of subsets called the generators or the sites. Consider the following question: does a small change of the sites, e.g., of their position or shape, yield a small change in the corresponding Voronoi…

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