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CORR
2011
Springer
223views Education» more  CORR 2011»
15 years 1 months ago
Decentralized Formation Control Part I: Geometric Aspects
In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with...
Mohamed-Ali Belabbas
SIAMMAX
2010
164views more  SIAMMAX 2010»
15 years 1 months ago
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with app...
Amit Singer, Mihai Cucuringu
ESA
1998
Springer
108views Algorithms» more  ESA 1998»
15 years 10 months ago
Finding an Optimal Path without Growing the Tree
In this paper, we study a class of optimal path problems with the following phenomenon: The space complexity of the algorithms for reporting the lengths of single-source optimal pa...
Danny Z. Chen, Ovidiu Daescu, Xiaobo Hu, Jinhui Xu
COMPGEOM
2006
ACM
15 years 10 months ago
I/O-efficient batched union-find and its applications to terrain analysis
Despite extensive study over the last four decades and numerous applications, no I/O-efficient algorithm is known for the union-find problem. In this paper we present an I/O-effic...
Pankaj K. Agarwal, Lars Arge, Ke Yi
COMPGEOM
2010
ACM
15 years 10 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh