Hypercomplex auto- and cross-correlation of color images
Stephen J. Sangwine, TA Ell · 2003
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.