Min-Cut and Max-Flow: Old and New
Nowadays the graph optimization-based theory of min-cut is widely accepted as the most popular approach to image segmentation, which formulate and solve the problem of segmenting images in the manner of global optimization. In addition, a fast algorithm to min-cut can be developed based upon the framework of max-flow which was demonstrated to be dual or equivalent to min-cut in mathematics. Recently, the min-cut problem is reformulated and studied in the spatially continuous setting, i.e. the continuous min-cut problem, which can be globally solved by convex optimization and shows great advantages over the classical graph-based min-cut/max-flow in both theory and practical results. As the dual pair of min-cut and max-flow, we show a new dual optimization theory to the continuous min-cut, so-called the continuous max-flow theory. For this, we develop a series of continuous max-flow formulations which derive a set of novel fast algorithms based on the new multiplier augmented theory. Moreover, we show their applications to the new global-optimization-based time-implicit level-sets and medical image analysis.
主讲人:
Name: Jing Yuan
Research Scientist, Robarts Research Institute, Western University, Canada
Adjunct Research Professor, Medical Biophysics Dept., Schulisch Medical School, Western University, Canada
Dr. Jing Yuan obtained his PhD in the Dept. of Mathematics and Computer Science, Heidelberg University, Germany. Currently, he served as the program chairs and reviewers of the top conferences of computer vision, medical image processing and applied mathematics: MICCAI, CVPR, EMMCVPR, ECCV, SSVM etc.
报告时间及地点:
2015年1月29日下午2:30 逸夫科技楼9楼报告厅