数学与统计学院学术报告(十二)通知

发布者:数学与统计学院发布时间:2018-12-05浏览次数:55

报告题目:On mathematical design of a novel input device using a moving emitter

报告人:李景治

报告时间:2018年12月5日 周三 下午6:30

报告地点:机电楼C310

报告摘要:

This talk is concerned with the mathematical design of a novel input/instruction device using a moving emitter. The emitter generates a point source and can be installed on a digit pen or worn on the finger of the human being who wants to interact/communicate with the computer. The input/instruction can be recognized by identifying the motion trajectory of the emitter performed by the human being from the collected wave field data. The identification process is modelled as an in-verse source problem where one intends to identify the trajectory of a moving point source. There are several salient features of our study which distinguish our resultfrom the existing ones in the literature. First, the point source is moving in an inhomogeneous background medium, which models the human body. Second, the dynamical wave field data are collected in a limited aperture. Third, the recon-struction method is independent of the background medium, and it is totally direct without any matrix inversion. Hence, it is efficient and robust with respect to the measurement noise. Both theoretical justifications and computational experiments are presented to verify our novel findings.


报告人简介

李景治,博士,南方科技大学数学系教授、系副主任。2009年获香港中文大学数学系应用数学哲学博士学位,获香港数学会最佳博士论文奖;2009年至2011年,在苏黎世联邦理工大学数学系做博士后。主要从事计算数学及相关领域,研究领域涉及到反问题理论与计算方法,科学计算,有限元方法。


数学与统计学院

2018.12.5