讲座题目：Image reconstruction via discrete curvature 主讲人：段玉萍 教授 开始时间：2019-11-30 15:10:00 讲座地址：中北校区办公楼小礼堂 主办单位：计算机科学与技术学院
报告人简介： 段玉萍教授，天津大学应用数学中心博士生导师。主要研究领域包括变分图像处理 , 医学图像分析 , 虚拟手术。2007至2011年在新加坡南洋理工大学攻读博士学位。2012年至2015年在新加坡科技研究局资讯通信研究院工作，担任二级研究科学家，参与过多个医学工程项目。在IEEE Trans. Image Process.，IEEE Trans. Medical Imaging等期刊和会议发表论文20余篇。 报告内容： The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex, non-smooth and highly non-linear, the first- order optimal condition of which are high-order partial differential equations. Thus, the numerical computation is extremely challenging. In this paper, we propose to estimate the discrete curvatures, i.e., mean curvature and Gaussian curvature, in the local neighborhood according to differential geometry theory. By minimizing certain functions of curvatures on all level curves of an image, it yields a kind of weighted total variation minimization problem, which can be efficiently solved by the proximal alternating direction method of multipliers (ADMM). Numerical experiments are implemented to demonstrate the effectiveness and superiority of our proposed variational models for different image reconstruction tasks. |
