The union of balls and its dual shape
Edelsbrunner H. 1995. The union of balls and its dual shape. Discrete & Computational Geometry. 13(1), 415–440.
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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.
Publishing Year
Date Published
1995-12-01
Journal Title
Discrete & Computational Geometry
Acknowledgement
This work is supported by the National Science Foundation, under Grant ASC-9200301, and the Alan T. Waterman award, Grant CCR-9118874. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the author and do not necessarily reflect the view of the National Science Foundation.
Volume
13
Issue
1
Page
415 - 440
ISSN
IST-REx-ID
Cite this
Edelsbrunner H. The union of balls and its dual shape. Discrete & Computational Geometry. 1995;13(1):415-440. doi:10.1007/BF02574053
Edelsbrunner, H. (1995). The union of balls and its dual shape. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/BF02574053
Edelsbrunner, Herbert. “The Union of Balls and Its Dual Shape.” Discrete & Computational Geometry. Springer, 1995. https://doi.org/10.1007/BF02574053.
H. Edelsbrunner, “The union of balls and its dual shape,” Discrete & Computational Geometry, vol. 13, no. 1. Springer, pp. 415–440, 1995.
Edelsbrunner H. 1995. The union of balls and its dual shape. Discrete & Computational Geometry. 13(1), 415–440.
Edelsbrunner, Herbert. “The Union of Balls and Its Dual Shape.” Discrete & Computational Geometry, vol. 13, no. 1, Springer, 1995, pp. 415–40, doi:10.1007/BF02574053.
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