--- res: bibo_abstract: - Voronoi diagrams and Delaunay triangulations have been extensively used to represent and compute geometric features of point configurations. We introduce a generalization to poset diagrams and poset complexes, which contain order-k and degree-k Voronoi diagrams and their duals as special cases. Extending a result of Aurenhammer from 1990, we show how to construct poset diagrams as weighted Voronoi diagrams of average balls.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Herbert foaf_name: Edelsbrunner, Herbert foaf_surname: Edelsbrunner foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-9823-6833 - foaf_Person: foaf_givenName: Mabel foaf_name: Iglesias Ham, Mabel foaf_surname: Iglesias Ham foaf_workInfoHomepage: http://www.librecat.org/personId=41B58C0C-F248-11E8-B48F-1D18A9856A87 bibo_doi: 10.1016/j.endm.2016.09.030 bibo_volume: 54 dct_date: 2016^xs_gYear dct_language: eng dct_publisher: Elsevier@ dct_title: 'Multiple covers with balls II: Weighted averages@' ...