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COMPGEOM
2005
ACM
13 years 7 months ago
Fast construction of nets in low dimensional metrics, and their applications
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...
Sariel Har-Peled, Manor Mendel
CORR
2007
Springer
89views Education» more  CORR 2007»
13 years 5 months ago
Speeding up Simplification of Polygonal Curves using Nested Approximations
: We develop a multiresolution approach to the problem of polygonal curve approximation. We show theoretically and experimentally that, if the simplification algorithm A used betwe...
Pierre-Francois Marteau, Gildas Ménier
COMPGEOM
2003
ACM
13 years 11 months ago
Shape fitting with outliers
Given a set H of n hyperplanes in IRd , we present an algorithm that ε-approximates the extent between the top and bottom k levels of the arrangement of H in time O(n+(k/ε)c), w...
Sariel Har-Peled, Yusu Wang
TIP
2008
168views more  TIP 2008»
13 years 5 months ago
A Real-Time Algorithm for the Approximation of Level-Set-Based Curve Evolution
Abstract--In this paper, we present a complete and practical algorithm for the approximation of level-set-based curve evolution suitable for real-time implementation. In particular...
Yonggang Shi, William Clement Karl
COMPGEOM
2000
ACM
13 years 10 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk