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Multidimensional Wavelets and Framelets

副标题:

时间:2016-12-01  来源:数学机械化重点实验室

题目:             Multidimensional Wavelets and Framelets  

报告人:       Bin HanUniversity of Alberta

时间地点:    2016.12.06  09:30am  N420

摘要:           One of the current active research directions in wavelet analysis is on multidimensional wavelets and framelets, which are of interest for high-dimensional problems such as image processing and computer graphics. The study of multidimensional wavelets and framelets is closely related to multivariate Laurent polynomials, algebraic geometric, symbolic computing, and symmetry groups. In this talk, we first introduce some basic theory on multidimensional wavelets and framelets. Then we shall present some recent progresses on their constructions. Next we shall discuss some major tools and techniques used from other areas in mathematics for the study of multivariate wavelets and framelets. Finally we shall address some difficulties and challenges on the construction of multidimensional wavelets and framelets as well as some open problems on this topic. 

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