Title :
The problem of defining the Fourier transform of a colour image
Author :
Sangwine, Stephen J.
Author_Institution :
Dept. of Eng., Reading Univ., UK
Abstract :
A discrete two-dimensional Fourier transform based on quaternion (or hypercomplex) numbers allows colour images to be transformed as a whole, rather than as colour-separated components. The transform is reviewed and its basis functions presented with example images
Keywords :
discrete Fourier transforms; image colour analysis; image representation; basis functions; colour images; discrete two-dimensional Fourier transform; hypercomplex numbers; quaternion numbers; Convolution; Detectors; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Image color analysis; Image edge detection; Lighting; Pixel; Quaternions;
Conference_Titel :
Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
0-8186-8821-1
DOI :
10.1109/ICIP.1998.723451