DocumentCode
1741015
Title
Hypercomplex Wiener-Khintchine theorem with application to color image correlation
Author
Ell, Todd A. ; Sangwine, Stephen J.
Volume
2
fYear
2000
fDate
10-13 Sept. 2000
Firstpage
792
Abstract
The auto-correlation and cross-correlation function have been generalized to color images, but only by explicit evaluation of a double summation over the whole image for each pixel of the correlation result. Practical use of any correlation method on images of reasonable spatial resolution requires realization using a Fourier transform. A formula for computing the cross-correlation of a pair of images (and hence the auto-correlation of a single image) is presented, based on a previously published hypercomplex Fourier transform.
Keywords
Fourier transforms; correlation methods; image colour analysis; image resolution; Fourier transform; auto-correlation function; color image correlation; correlation method; cross-correlation function; hypercomplex Fourier transform; hypercomplex Wiener-Khintchine theorem; spatial resolution; Autocorrelation; Color; Correlation; Equations; Fourier transforms; Image resolution; Pixel; Quaternions; Spatial resolution; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Image Processing, 2000. Proceedings. 2000 International Conference on
Conference_Location
Vancouver, BC, Canada
ISSN
1522-4880
Print_ISBN
0-7803-6297-7
Type
conf
DOI
10.1109/ICIP.2000.899828
Filename
899828
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