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COMPGEOM
2006
ACM
14 years 1 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
COLT
2000
Springer
13 years 12 months ago
The Computational Complexity of Densest Region Detection
We investigate the computational complexity of the task of detecting dense regions of an unknown distribution from un-labeled samples of this distribution. We introduce a formal l...
Shai Ben-David, Nadav Eiron, Hans-Ulrich Simon
SODA
2000
ACM
132views Algorithms» more  SODA 2000»
13 years 8 months ago
Expected-case complexity of approximate nearest neighbor searching
Most research in algorithms for geometric query problems has focused on their worstcase performance. However, when information on the query distribution is available, the alternat...
Sunil Arya, Ho-Yam Addy Fu
VIS
2007
IEEE
120views Visualization» more  VIS 2007»
14 years 8 months ago
Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions
The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar function, and critical points paired by the complex identify topological features and th...
Attila Gyulassy, Vijay Natarajan, Valerio Pascuc...
JCT
2006
69views more  JCT 2006»
13 years 7 months ago
The Bergman complex of a matroid and phylogenetic trees
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
Federico Ardila, Caroline J. Klivans