Abstract | ||
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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 |
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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. Moxey | 1 | 74 | 7.29 |
S.J. Sangwine | 2 | 107 | 9.87 |
T.A. Ell | 3 | 74 | 7.29 |