庄晓生副教授受邀进行讲座
发布时间: 2018-12-18 19:41:09
题 目：Affine Shear Tight Frames with 2-Layer Structure and Their Applications in Image/Video Processing
报告人：庄晓生副教授 香港城市大学
时 间：2018-12-17 17:00--18:00
地 点：学院401
报告人简介：
庄教授于2003年和2005年分别获得了中山大学的数学学士学位和数学硕士学位，2010年获得加拿大Alberta大学应用数学博士学位，2011年在Osnabrück大学和2012年在柏林Technische大学担任博士后研究员。现任教于香港城市大学数学系，并担任其副系主任，主要研究方向是定向多尺度表示方法、图像/信号处理和压缩传感等。在国际期刊上已发表多篇学术论文。
摘 要：
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.