ENGLISH    
 
  中国科学院    
 
 
     
 
首 页  
组织机构
科研成果
研究队伍
研究生培养
国际交流
信息公开
人才招聘
    现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Dr. Jae Kyu Choi, Institute of Natural Sciences, Shanghai Jiao Tong University

Inviter:  
Title:
Image Restoration: Bridging Discrete and Continuum
Time & Venue:
2017.11.16 16:00-17:00 N613
Abstract:

Image restoration is one of the most important areas in imaging science. Mathematical tools have been widely used in image restoration, where the wavelet frame based approach is one of the successful examples due to its capability of capturing singularities from noisy and degraded images. In addition, their multiresolutional analysis (MRA) structure enables us to provide a rigorous connection between the wavelet frame based image restoration model in discrete and the variational model in continuum, which have long been seemingly unrelated. It also gave birth to many innovative and more e ective image restoration models and algorithms. Following the recent developments in wavelet frame, this talk consists of two parts; one is the edge driven wavelet frame based image restoration model for piecewise smooth functions. With an implicit representation of image singularities sets, the proposed model inicts di erent strength of regularization on smooth and singular image regions and edges. The proposed edge driven model is robust to both image approximation and singularity estimation. The implicit formulation also enables an asymptotic analysis of the proposed models and a rigorous connection between the discrete model and a general continuous variational model. The other part consists of the approximation property of wavelet frame based image restoration model. Given incomplete (degraded) measurements, we present the error between the underlying original discrete image and the approximate solution which has the minimal `1 norm of the canonical wavelet frame coecients among all possible solutions. Then we further connect the error estimate for the discrete model to the approximation to the underlying function from which the underlying image comes.

 

 

附件下载:
 
 
【打印本页】【关闭本页】
 
研究院电子政务平台    中科院邮件系统    图书馆    会议服务平台
 
新闻动态 | 学术期刊 | 创新文化 | 党群园地 | 科学传播 | 校友会 | 网站地图 | 联系我们
版权所有 © 中国科学院数学与系统科学研究院  京ICP备05002806号  京公网安备110402500020号
地址:北京市海淀区中关村东路55号  邮政编码:100190
电话:86-10-82541777  Fax:86-10-82541972  Email:contact@amss.ac.cn