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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
Location：Room 401 in School of Mathematical Sciences
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.