20181110 李景治 On mathematical design of a novel input device using a moving emitter

报告时间：2018年11月10日（周六）16:00--17:00
报告地点：425 报告厅
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 result
from 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.
李景治，博士，南方科技大学数学系tenured副教授、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。学术成果先后在 Comm. Math. Phys.、Inverse Problems、J. Funct. Anal.、SIAM J. Appl. Math、J. Differential Equations、 Numer. Math.、Multiscale Model. Simul.、IMA J. Numer. Anal.、ESAIM Math. Model. Numer. Anal.、SIAM J. Sci. Comput.、SIAM J. Imaging Sci.、 Inverse Probl. Imaging、J. Comput. Phys.等期刊上发表。