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Research Mathematics and its Applications



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Last updated Wednesday, 23 Sep, 2015


[Note: events are listed by descending date.]
  • PHD PROGRESS SEMINAR
  • Speaker: David Franklin, School of Mathematical and Physical Sciences, The University of Newcastle
  • Title: Higher Dimensional Signal Analysis
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 10:00 am, Fri, 4th Aug 2017
  • Abstract:
    Colour images are represented by functions of 2 variables that output 3 variables, and analysing them requires tools that can handle these dimensions. One method is to use Clifford Algebras and their recently discovered Fourier Transform. We prove the Clifford Fourier Transform has a Hardy Space, and that it's Paley-Wiener Space and Bernstein Spaces are identical. Another method is to find 2 dimensional wavelets that are non-separable. We achieve this through the use of the Douglas-Rachford Projection Algorithm, and hope to achieve it through the use of Proximal Alternating Linear Methods. This talk briefly overviews these methods and the path to completion.
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