Title
Space-Efficient approximation scheme for circular earth mover distance
Abstract
The Earth Mover Distance (EMD) between point sets A and B is the minimum cost of a bipartite matching between A and B. EMD is an important measure for estimating similarities between objects with quantifiable features and has important applications in several areas including computer vision. The streaming complexity of approximating EMD between point sets in a two-dimensional discretized grid is an important open problem proposed in [8,9]. We study the problem of approximating EMD in the streaming model, when points lie on a discretized circle. Computing the EMD in this setting has applications to computer vision [13] and can be seen as a special case of computing EMD on a discretized grid. We achieve a (1 ±ε) approximation for EMD in Õ (ε-3) space, for every 0ε
Year
DOI
Venue
2012
10.1007/978-3-642-29344-3_9
LATIN
Keywords
Field
DocType
b. emd,space-efficient approximation scheme,discretized grid,computer vision,approximating emd,important application,circular earth mover distance,point set,important open problem,discretized circle,two-dimensional discretized grid,important measure
Discretization,Combinatorics,Earth mover's distance,Open problem,Streaming algorithm,Computer science,Bipartite graph,Grid,Special case
Conference
Volume
ISSN
Citations 
7256
0302-9743
3
PageRank 
References 
Authors
0.39
17
3
Name
Order
Citations
PageRank
Joshua Brody11185.33
Hongyu Liang28416.39
Xiaoming Sun328041.19