Colloquiums and Conferences
Affine Shear Tight Frames with 2-Layer Structure and Their Applications in Image/Video Processing
Time: 2018-12-18 23:10:32
Topic：Affine Shear Tight Frames with 2-Layer Structure and Their Applications in Image/Video Processing
Speaker：Vice Professor Xiaosheng Zhuang City University of Hong Kong
Time：2018-12-17 17:00--18:00
Location：Room 401 in School of Mathematical Sciences
Introduction：
In this talk, we present the characterizations, construction, and applications of affine shear tight frames with 2-layer structure. First, we introduce affine shear systems with 2-layer structure that have generators splitting the frequency region at each scale into inner and outer layers. Second, we provide the characterizations of affine shear systems with 2-layer structure to be affine shear tight frames with 2-layer structure. Finally, we show that digital affine shear transforms with 2-layer structure can be implemented with low redundancy rate and with near-linear computational complexity. Numerical experiments are conducted to demonstrate the advantages of our transforms in image/video processing such as denoising and inpainting.