@article{4028,
abstract = {Efficient algorithms are described for computing topological, combinatorial, and metric properties of the union of finitely many spherical balls in R(d) These algorithms are based on a simplicial complex dual to a decomposition of the union of balls using Voronoi cells, and on short inclusion-exclusion formulas derived from this complex. The algorithms are most relevant in R(3) where unions of finitely many balls are commonly used as models of molecules.},
author = {Herbert Edelsbrunner},
journal = {Discrete & Computational Geometry},
number = {1},
pages = {415 -- 440},
publisher = {Springer},
title = {{The union of balls and its dual shape}},
doi = {10.1007/BF02574053},
volume = {13},
year = {1995},
}