Title :
Hypercomplex auto- and cross-correlation of color images
Author :
Sangwine, Stephen J. ; Ell, Todd A.
Author_Institution :
Reading Univ., UK
Abstract :
Autocorrelation and cross-correlation have been defined and utilized in signal and image processing for many years, but not for color or vector images. In this paper we present for the first time a definition of correlation applicable to color images, based on quaternions or hypercomplex numbers. We have devised a visualization of the result using the polar form of a quaternion in which color denotes quaternion eigenaxis and phase, and a grayscale image represents the modulus
Keywords :
Fourier transforms; data visualisation; image processing; color images; cross-correlation; grayscale image; hypercomplex auto-correlation; image processing; modulus; polar form; quaternion; quaternion eigenaxis; quaternions; visualization; Autocorrelation; Clocks; Color; Fourier transforms; Gray-scale; Image processing; Quaternions; Signal processing; USA Councils; Visualization;
Conference_Titel :
Image Processing, 1999. ICIP 99. Proceedings. 1999 International Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-5467-2
DOI :
10.1109/ICIP.1999.819603
