Time: 4th March 2015 (Wed) 12:50-13:50
Place: International Christian University, Mitaka, Tokyo, Room N-102 (ICU Science Hall, 1st Floor, North Wing)
Title: Colour Image Processing with Hypercomplex Algebra
Speaker: Dr. Steve Sangwine (School of Computer Science and Electronic Engineering, University of Essex, United Kingdom)
Lecture video (related): https://www.youtube.com/watch?v=LpqwdIoWgw0
The author has worked on colour image processing since 1992, and has studied hypercomplex algebras (principally quaternions) applied to colour images since 1996. The talk will provide an overview of colour science as it applies to image processing, to explain what colour is, and how it is represented electronically, and measured. This part of the talk is based on presentations that the author has given to scientifically literate but not research-level audiences.
The second part of the talk will introduce the idea of quaternion Fourier transforms and the way they represent colour images, in particular in terms of oscillations within a three-dimensional ‘colour space’. Recent work on this has shown that simple harmonic motion in any number of dimensions consists of elliptical oscillation in a plane, and this finding has ramifications for both quaternion and other types of hypercomplex transforms, indeed any Fourier domain representation of an oscillation in N-dimensions.