- CARMA SEMINAR
- Speaker: Neil Dizon, School of Mathematical and Physical Sciences, The University of Newcastle
- Title: Optimization in the construction of multidimensional wavelets
- Location: (Online Campus)
- Dates: Thu, 28th May 2020 - Thu, 28th May 2020
- We have two progress seminars on Thursday 28th May. The first is Benjamin Maldon at 1pm. Ben is working with Natalie Thamwattana. The second is Neil Dizon at 2pm. Neil is working with Jeff Hogan. Both talks will be about 20 minutes long followed by questions, and we'll have a break between the two. As you can see from the abstracts, the topics may be of interest across our school. Everyone is most welcome - please come along!
Email firstname.lastname@example.org for the Zoom link for this talk.
The construction of compactly supported smooth orthonormal wavelets has been reformulated as feasibility problems. This feasibility approach to wavelet construction has been successful in reproducing Daubechies' wavelets and in building non-separable examples of wavelets on the plane. We discuss the extensions of these constructions to allow for the optimization of wavelets' cardinality and symmetry. We also present relevant optimization techniques that we have developed to solve wavelet feasibility problems. Finally, we tackle the under way application of the feasibility approach to construct compactly supported quaternionic orthonormal wavelets with prescribed regularity.
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