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Visualizing Bregman Voronoi diagrams

Frank Nielsen, Jean-Daniel Boissonnat and Richard Nock


Abstract:
Voronoi diagrams are fundamental geometric structures that partition the space into elementary regions of influence defining discrete proximity graphs and dually well-shaped Delaunay triangulations. In this video, we explain and illustrate a recent generalization of Voronoi diagrams to a wide class of distortion measures called Bregman divergences.
2-page paper in PDF
Video (35MB)

BibTex entry:
@inproceedings{nbn-vbvd-2007,
 author = {Frank Nielsen and Jean-Daniel Boissonnat Richard Nock},
 title = { Visualizing Bregman Voronoi diagrams},
 booktitle = {SCG '07: Proceedings of the twenty-third annual symposium on Computational geometry},
 year = {2007},
 publisher = {ACM Press},
 address = {New York, NY, USA},
 }

Last updated, March 2007.