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» On the Homological Dimension of Lattices
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CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 6 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
GLOBECOM
2009
IEEE
13 years 10 months ago
Near-ML Detection over a Reduced Dimension Hypersphere
Abstract--In this paper, we propose a near-maximum likelihood (ML) detection method referred to as reduced dimension ML search (RD-MLS). The RD-MLS detector is based on a partition...
Jun Won Choi, Byonghyo Shim, Andrew C. Singer
COCOON
2011
Springer
12 years 6 months ago
Proper n-Cell Polycubes in n - 3 Dimensions
A d-dimensional polycube of size n is a connected set of n cubes in d dimensions, where connectivity is through (d−1)-dimensional faces. Enumeration of polycubes, and, in particu...
Andrei Asinowski, Gill Barequet, Ronnie Barequet, ...
COCOON
2006
Springer
13 years 10 months ago
On Unfolding Lattice Polygons/Trees and Diameter-4 Trees
We consider the problems of straightening polygonal trees and convexifying polygons by continuous motions such that rigid edges can rotate around vertex joints and no edge crossing...
Sheung-Hung Poon
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
14 years 29 days ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson