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» On the Homological Dimension of Lattices
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CORR
2010
Springer
115views Education» more  CORR 2010»
14 years 11 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
15 years 3 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
13 years 11 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
15 years 3 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
78
Voted
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
15 years 6 months 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