ICM邀请报告——On Mathematical Modeling in Image Reconstruction and beyond
报告人：Bin Dong (Peking University)
地点：Room 1560 Sciences Building No. 1
Abstract: Imaging has been playing a vital role in the development of natural sciences and engineering and has now become an essential component of our daily lives. Image reconstruction is one of the most fundamental problems in imaging. For the past three decades, we have witnessed phenomenal developments in mathematical models and algorithms in image reconstruction. In this talk, I will first review some progress of the two prevailing mathematical approaches for image reconstruction, i.e., the wavelet frame-based and PDE-based approaches. I will discuss the connections between the two approaches and the implications and impact of the connections. Moreover, I will review how the studies of the links between the two approaches have led us to a mathematical understanding of deep convolutional neural networks, which has further led to some intriguing progress in deep learning, computational imaging, and scientific computing.
Moderator: Alexander Schrijver (Netherlands)