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The Union of Balls and Its Dual Shape

by Herbert Edelsbrunner , University of Illinois at Urbana-Champaign. Department of Computer Science

📖 The Scoop

Abstract: "Efficient algorithms are described for computing topological, combinatorial, and metric properties of the union of finitely many balls in R[superscript d]. These algorithms are based on a simplicial complex dual to a certain decomposition of the union of balls, and on short inclusion-exclusion formulas derived from this complex. The algorithms are most relevant in R© where unions of finitely many balls are commonly used as models of molecules."

Genre: No Category (fancy, right?)

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