Mathematical design of a novel input/instruction device using a moving acoustic emitter
Mathematical design of a novel input/instruction device using a moving acoustic emitter
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DOI：
10.1088/1361-6420/aa873f
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发表时间：
2017-09
期刊：
影响因子：
2.1
通讯作者：
Xianchao Wang;Yukun Guo;Jingzhi Li;Hongyu Liu
中科院分区：
文献类型：
--
作者：
Xianchao Wang;Yukun Guo;Jingzhi Li;Hongyu Liu
本文讨论了一种新型的利用运动发射器的输入/指令装置的数学设计。发射器用作点源，并且可以安装在数字笔上或佩戴在期望与计算机交互/通信的人的手指上。可以通过从收集的波场数据识别由人执行的发射器的移动轨迹来识别输入/指令。识别过程被建模为一个反源问题，其中一个打算确定的运动点源的轨迹。我们的研究有几个显着的特点，区分我们的结果从现有的文献中。首先，点源在模拟人体的非均匀背景介质中运动。第二，在有限孔径内采集动态波场数据。第三，重建方法与背景介质无关，并且是完全直接的，不需要任何矩阵求逆。因此，它对于测量噪声是有效和鲁棒的。理论分析和计算实验都验证了我们的新发现。
This paper is concerned with the mathematical design of a novel input/instruction device using a moving emitter. The emitter acts as a point source and can be installed on a digital pen or worn on the finger of the human being who desires to interact/communicate with the computer. The input/instruction can be recognized by identifying the moving trajectory of the emitter performed by the human being from the collected wave field data. The identification process is modelled as an inverse 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 reconstruction 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.