| Abstract |
Wavelets are useful for many applications including
signal/image processing. Tensor product has been a predominant method
in constructing multivariate wavelets. In this talk, I will first
provide a brief overview of the wavelet analysis and the use of tensor
product in constructing multivariate wavelets. Then I will introduce a
new alternative to tensor product, to which we refer as Coset Sum. We
will discuss the similarity and difference between the two methods. We
will also see that some of known limitations of tensor product can be
overcome by Coset Sum, albeit in a limited sense. |
