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» The Accelerated Euclidean Algorithm
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CAIP
2007
Springer
125views Image Analysis» more  CAIP 2007»
15 years 3 months ago
Euclidean Shortest Paths in Simple Cube Curves at a Glance
This paper reports about the development of two provably correct approximate algorithms which calculate the Euclidean shortest path (ESP) within a given cube-curve with arbitrary a...
Fajie Li, Reinhard Klette
CVPR
1998
IEEE
16 years 1 months ago
Generation of the Euclidean Skeleton from the Vector Distance Map by a Bisector Decision Rule
The Euclidean skeleton is essential for general shape representation. This paper provides an e cient method to extract a well-connected Euclidean skeleton by a neighbor bisector d...
Hong Li, Albert M. Vossepoel
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
14 years 11 months ago
The Euclidean Distortion of Flat Tori
We show that for every n-dimensional lattice L the torus Rn /L can be embedded with distortion O(n
Ishay Haviv, Oded Regev
ICML
2006
IEEE
15 years 12 months ago
Robust Euclidean embedding
We derive a robust Euclidean embedding procedure based on semidefinite programming that may be used in place of the popular classical multidimensional scaling (cMDS) algorithm. We...
Lawrence Cayton, Sanjoy Dasgupta
STOC
2005
ACM
118views Algorithms» more  STOC 2005»
15 years 11 months ago
Euclidean distortion and the sparsest cut
We prove that every n-point metric space of negative type (and, in particular, every npoint subset of L1) embeds into a Euclidean space with distortion O( log n ? log log n), a r...
Sanjeev Arora, James R. Lee, Assaf Naor