Title
Hypercomplex correlation techniques for vector images
Abstract
Correlation techniques have been applied to almost every area of signal processing over the past century, yet their use has, in general, been limited to scalar signals. While there have been implementations in multichannel applications, these can be characterized as a combination of single channel processes. True vector correlation techniques, with global and interchannel measures, have only recently been demonstrated and are still in their infancy by comparison. This paper describes our work on vector correlation based on the use of hypercomplex Fourier transforms and presents, for the first time, a unified theory behind the information contained in the peak of a vector correlation response. By using example applications for color images, we also demonstrate some of the practical implications, together with our latest results.
Year
DOI
Venue
2003
10.1109/TSP.2003.812734
IEEE Transactions on Signal Processing
Keywords
Field
DocType
hypercomplex fourier,color image,correlation technique,example application,vector correlation response,true vector correlation technique,interchannel measure,vector image,hypercomplex correlation technique,vector correlation,multichannel application,latest result,signal processing,fourier transforms,indexing terms,image processing,concurrent computing,color,pattern recognition,vector images,unified theory,quaternions,signal analysis,fourier transform
Signal processing,Quaternion,Scalar (physics),Hypercomplex number,Fourier transform,Artificial intelligence,Color image,Information theory,Computer vision,Vector graphics,Mathematical optimization,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
51
7
1053-587X
Citations 
PageRank 
References 
74
7.29
8
Authors
3
Name
Order
Citations
PageRank
C.E. Moxey1747.29
S.J. Sangwine21079.87
T.A. Ell3747.29