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CISS
2008
IEEE
15 years 5 months ago
Fusion frames and robust dimension reduction
Abstract— We consider the linear minimum meansquared error (LMMSE) estimation of a random vector of interest from its fusion frame measurements in presence noise and subspace era...
Ali Pezeshki, Gitta Kutyniok, A. Robert Calderbank
ICDCS
2006
IEEE
15 years 4 months ago
Routing in Networks with Low Doubling Dimension
This paper studies compact routing schemes for networks with low doubling dimension. Two variants are explored, name-independent routing and labeled routing. The key results obtai...
Ittai Abraham, Cyril Gavoille, Andrew V. Goldberg,...
SMI
2005
IEEE
117views Image Analysis» more  SMI 2005»
15 years 4 months ago
Contouring 1- and 2-Manifolds in Arbitrary Dimensions
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim
COMPGEOM
2004
ACM
15 years 4 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
COMPGEOM
2010
ACM
15 years 3 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard