权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

A Theory of Dynamic Machine Vision and Computational Algorithms

动态机器视觉理论与计算算法

基本信息

批准号：
11650455
负责人：
INABA Hiroshi
金额：
$ 2.24万
依托单位：
Tokyo Denki University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650455/
关键词：
Perspective System Riccati dynamic Parameter Identification Kronecker Canonical Form

项目摘要

The investigators with Bijoy K.Ghosh of Washington University have shown that the perspective system in 3-dimensional perspective space obtained by projecting a linear motion in 4-dimensional space is represented by a Riccati dynamical system and its projected system is again represented by a Riccati dynamical system, and has studied the identifiability of motion parameters of such a Riccati dynamical system. In particular, we obtained various results on the identifiability of the Riccati dynamical system with perspective and orthographic observations, and performed some computer simulations using extended Kalman filters to illustrate the obtained results. These results have been published in a paper appeared in IEEE Transactions on Automatic Control (see the first paper in the publication list below).Further, we investigated the parameter estimation problem of perspective dynamical systems using a notion of Kronecker canonical form, and obtained the parameterization of a perspective dynamical system having a given set of Kronecker indices and performed various computer simulations using extended Kalman filters to check the usefulness of our approach. These results were presented at the American Control Conference in 2000 (see the second paper in the publication list below). Furthermore, the observability of perspective linear systems was studied, and some important results were obtained and were presented the 39^<th>IEEE Conference on Decision and Control (CDC2000) and the 23^<rd> SICE Symposium on Dynamical Systems Theory (DST2000)(See the third and fifth papers in the publication list below). Finally, observers for perspective linear systems were investigated and very interesting results were obtained, and those results were presented at the 32^<nd> ISCIE International Symposium on Stochastic Systems and Its Applications (SSS2000) and the 23^<rd> SICE Symposium on Dynamical Systems Theory (DST2000)(See the forth and sixth papers in the publication list below).

华盛顿大学的Bijoy K.Ghosh等人证明了，将直线运动投影到4维空间而得到的3维透视空间中的透视系统用Riccati动力系统表示，其投影系统也用Riccati动力系统表示，并研究了这样的Riccati动力系统的运动参数的可识别性。特别是，我们得到了各种结果的Riccati动力系统的可识别性与透视和正交观测，并进行了一些计算机模拟，使用扩展卡尔曼滤波器来说明所得到的结果。这些结果发表在IEEE自动控制学报上的一篇论文中（参见下面出版物列表中的第一篇论文）。此外，我们使用Kronecker标准形的概念研究了透视动力系统的参数估计问题，并获得了具有给定的克罗内克指数集的透视动力系统的参数化，并使用扩展卡尔曼滤波器进行了各种计算机模拟，检查我们的方法的有效性。这些结果在2000年的美国控制会议上发表（见下面出版物列表中的第二篇论文）。在此基础上，研究了线性系统的可观测性，得到了一些重要结果，并在第39届<th>IEEE决策与控制会议（CDC 2000）和第23届<rd>SICE动力系统理论研讨会（DST 2000）上发表（见下面出版物列表中的第三和第五篇论文）。最后，对透视线性系统的观测器进行了研究，得到了非常有趣的结果，这些结果在第32届<nd>ISCIE国际随机系统及其应用研讨会（SSS2000）和第23届<rd>SICE动力系统理论研讨会（DST 2000）上发表（见下面出版物列表中的第四和第六篇论文）。