讲座题目：Kernel-Based Approximation Method for Medical Imaging Problem

主讲人 ：韩耀宗教授（Pro. Benny Y. C. Hon），

香港城市大学数学系

时 间 ： 12月6日（周六）上午9:00

地 点 ：理学院会议室（18号楼918室）

摘 要 ：

In this talk we present the development of meshless computational method based on the use of kernel-based functionsfor solving various physical problems. Properties of some special kernels such as radial basis functions; harmonic kernels; fundamental and particular solutions; and Green’s functions will be discussed. For tackling the well-known ill-conditioned resultant system of equations, the method has recently been localized so that application to large scale engineering and industrial problems is now feasible. The method requires only a set of nodes in the domain and on the boundary from which all governing equations are solved in strong formulation without the need of tedious integrations. The refinement and redistribution of the nodes in adaption to moving boundary or rapid changing gradients in field variables can efficiently be made. The method is proven to be efficient; accurate; and easy to code.For application to medical imaging problems related to liver transplantation, we will present some recent experimental case studies with real data from several hospitals.

人物名片：

Professor Hon received his Ph.D. in Applied Mathematics from the University of Louisiana at Lafayette, USA. He is presently the Professor of the Department of Mathematics, City University of Hong Kong, Hong Kong and is serving as an associate editor for the Journal of Inverse Problems in Science and Engineering and member on the editorial board for six research journals. His research interests include meshless computational methods, inverse problems, symbolic computation and gifted education. He has published over 130 research articles in the academic journals.

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