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COMPGEOM
2005
ACM
13 years 10 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
13 years 10 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...
JMIV
2000
125views more  JMIV 2000»
13 years 8 months ago
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
A general paradigm for recognizing 3D objects is offered, and applied to some geometric primitives (spheres, cylinders, cones, and tori). The assumption is that a curve on the surf...
Daniel Keren, Ehud Rivlin, Ilan Shimshoni, Isaac W...
PAMI
2012
11 years 11 months ago
M-Idempotent and Self-Dual Morphological Filters
—In this paper, we present a comprehensive analysis of self-dual and m-idempotent operators. We refer to an operator as m-idempotent if it converges after m iterations. We focus ...
Nidhal Bouaynaya, Mohammed Charif-Chefchaouni, Dan...
TVCG
2012
196views Hardware» more  TVCG 2012»
11 years 11 months ago
Robust Morse Decompositions of Piecewise Constant Vector Fields
—In this paper, we introduce a new approach to computing a Morse decomposition of a vector field on a triangulated manifold surface. The basic idea is to convert the input vector...
Andrzej Szymczak, Eugene Zhang