Title
Similarity measure for vector field learning
Abstract
Vector data containing direction and magnitude information other than position information is different from common point data only containing position information. Those general similarity measures for point data such as Euclidean distance are not suitable for vector data. Thus, a novel measure must be proposed to estimate the similarity between vectors. The similarity measure defined in this paper combines Euclidean distance with angle and magnitude differences. Based on this measure, we construct a vector field space on which a modified locally linear embedding (LLE) algorithm is used for vector field learning. Our experimental results show that the proposed similarity measure works better than traditional Euclidean distance.
Year
DOI
Venue
2006
10.1007/11759966_65
ISNN (1)
Keywords
Field
DocType
euclidean distance,novel measure,general similarity measure,vector field learning,common point data,position information,similarity measure,point data,vector data,proposed similarity measure,vector field
Pattern recognition,Transverse measure,Similarity measure,Vector measure,Direction vector,Similarity (network science),Euclidean distance,Artificial intelligence,Distance from a point to a line,Direction cosine,Mathematics
Conference
Volume
ISSN
ISBN
3971
0302-9743
3-540-34439-X
Citations 
PageRank 
References 
4
0.64
8
Authors
2
Name
Order
Citations
PageRank
Hongyu Li144332.34
I-Fan Shen217312.32