PIMS/Shell Lunchbox Lecture: Bin Han

  • Date: 03/24/2015
Bin Han, University of Alberta

Calgary Place Tower (Shell)


Wavelets and Directional Complex Framelets with Applications to Image Processing


A video of this event is available on mathtube.org.


Wavelets have been successfully applied to many areas. For high-dimensional problems such as image/video processing, separable wavelets are widely used but are known to have some shortcomings such as lack of directionality and translation invariance. These shortcomings limit the full potential of wavelets. In this talk, we first present a brief introduction to orthonormal wavelets and tight framelets as well as their fast transforms using filter banks. Next we discuss recent exciting developments on directional tensor product complex tight framelets (TP-CTFs) for problems in more than one dimension. For image/video denoising and inpainting, we show that directional complex tight framelets have superior performance compared with current state-of-the-art methods. Such TP-CTFs inherit almost all the advantages of traditional wavelets but with directionality for capturing edges, enjoy desired features of the popular discrete Fourier/Cosine transform for capturing oscillating textures, and are computationally efficient. Such TP-CTFs are also naturally linked to Gabor (or windowed Fourier) transform and can be further extended. We expect that our approach of TP-CTFs using directional complex framelets can be applied to many other high-dimensional problems.

Other Information: 

Location: Calgary Place Tower 1 (330 5th Avenue SW), Room 1116


Time: 12:00-1:00 pm





PIMS is grateful for the support of Shell Canada Limited, Alberta
Enterprise and Advanced Education, and the University of Calgary for
their support of this series of lectures.