防灾减灾湖北省重点实验室

首页

联系我们

  • 网站首页
  • 实验室概况
  • 研究队伍
  • 人才培养
  • 科学研究
  • 学术交流
  • 开放基金
  • 资源共享
  • 运行管理
近期成果

Lab Introduction

  • 通知公告
  • 实验室新闻
  • 近期成果
当前位置: 网站首页 > 近期成果 > 正文

SCI论文:Iterative approach of 3D datum transformation with a non-isotropic weight

发布日期:2016-10-10 点击:次


SCI论文:Iterative approach of 3D datum transformation with a non-isotropic weight


标题:Iterative approach of 3D datum transformation with a non-isotropic weight

作者:Zeng, HE (Zeng, Huaien); Yi, QL(Yi, Qinglin); Wu, Y(Wu, Yue)

期刊:Acta Geod Geophys

卷:51 期:3 页:557-570

DOI:10.1007/s40328-015-0144-2

出版时间:Sep 2016

摘要:

The analytical solution of 3D datum transformation with an isotropic weight has been elegantly presented based on Procrustes algorithm (singular value decomposition). But the existence of analytical solution of 3D datum transformation with a non-isotropic weight needs further investigation. Based on the Lagrangian extremum law, the paper derives the analytical formula for translation parameter and scale factor, but because the rotation matrix is unsolved, the analytical solution does not exist. For this reason, the paper presents two kinds of iterative approach of 3D datum transformation with a non-isotropic weight. One is the iterative approach dependent on the objective function value, which uses the Lagrangian minimum function in the variable of rotation matrix as the objective function, and the other is the iterative approach dependent on the derivative of function, which uses the 3D datum transformation model that eliminates the translation parameter. In order to improve the speed and reliability of iterative computation, the form of rotation matrix represented by Rodrigues matrix instead of rotation angles or unit quaternion is adopted for the two iterative approaches. A numerical experiment is demonstrated, and comparison analysis of the two iterative approaches is carried out. The result shows from the view of computing speed and reliability, the iterative approach based on derivatives is preferred.

入藏号:WOS: 000388105500015

三峡大学防灾减灾湖北省重点实验室
湖北长江三峡滑坡国家野外科学观测研究站
三峡地区灾害与生态环境湖北省协同创新中心
三峡库区地质灾害教育部重点实验室 | 三峡大学 | 三峡大学土木与建筑学院

地址:湖北省宜昌市大学路8号  电话:0717-6392022  E-Mail:geohctgu@126.com  邮政编码:443002