On mathematical design of a novel input device using a moving emitter

報告題目：On mathematical design of a novel input device using a moving emitter

報告人：李景治

報告時間：2018年12月5日 周三 下午6:30

報告地點：機電樓C310

報告摘要：

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.

報告人簡介

李景治，博士，南方科技大學數學系教授、系副主任。2009年獲香港中文大學數學系應用數學哲學博士學位，獲香港數學會最佳博士論文獎；2009年至2011年，在蘇黎世聯邦理工大學數學系做博士后。主要從事計算數學及相關領域，研究領域涉及到反問題理論與計算方法，科學計算，有限元方法。

數學與統計學院

2018.12.5