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COMPGEOM
2005
ACM
15 years 2 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
COMPGEOM
2005
ACM
15 years 2 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
145
Voted
COMPGEOM
2005
ACM
15 years 2 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
88
Voted
GECCO
2008
Springer
109views Optimization» more  GECCO 2008»
15 years 1 months ago
A tunable model for multi-objective, epistatic, rugged, and neutral fitness landscapes
The fitness landscape of a problem is the relation between the solution candidates and their reproduction probability. In order to understand optimization problems, it is essenti...
Thomas Weise, Stefan Niemczyk, Hendrik Skubch, Rol...
101
Voted
GIS
2010
ACM
14 years 11 months ago
An algorithmic framework for segmenting trajectories based on spatio-temporal criteria
In this paper we address the problem of segmenting a trajectory such that each segment is in some sense homogeneous. We formally define different spatio-temporal criteria under ...
Maike Buchin, Anne Driemel, Marc J. van Kreveld, V...