- PHD CONFIRMATION SEMINAR
- Speaker: David Franklin, School of Mathematical and Physical Sciences, The University of Newcastle
- Title: Quaternionic Fourier Transforms in Colour Image Analysis
- Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
- Time and Date: 11:30 am, Tue, 17th Feb 2015
The Fourier Transform is a central and powerful tool in signal processing as well as being essential to Complex Analysis. However, it is limited to acting on complex-valued functions and thus cannot be applied directly to colour images (which have 3 real values worth of output). In this talk, I discuss the limitations of current methods then discuss several methods of extending the Fourier Transform to larger algebras (specifically the Quaternions and Clifford algebras). This informs a research plan involving the study and computer implementation of a particular Clifford Fourier Transform.
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