Paper Title:
Comparing of Coordinate Transformation Based on Total Least Squares and Least Squares

The coordinate transformation models based on least square method and total least square are built and discussed. The least square model only includes the errors of observation vectors, the total least square model simultaneously takes into consideration to the errors of observation vectors and the errors of coefficient matrix. The both models are verified and compared in experiment. The experimental results showed that the model of total least square is more in line with actual, and more reasonable than by least square theoretically, and the coordinate transformation solution result of total least square with least square is more near.

Chapter 11: Geographic Information Science and Remote Sensing
Edited by
Fauziah Shahul Hamid, Seung-Bok Choi and Liyuan Han
Q. W. Meng, L. Meng, "Comparing of Coordinate Transformation Based on Total Least Squares and Least Squares", Applied Mechanics and Materials, Vols. 522-524, pp. 1211-1214, 2014
Online since
February 2014
Authors: Chun Feng Liu, Shan Shan Kong, Hai Ming Wu
Abstract:Digital cameras have been widely used in the areas of road transportation, railway transportation as well as security system. To address the...
Authors: Fang Li, Shu Gui Liu, Lei Zhao
Chapter 6: Frontiers of Mechanical Engineering (1)
Abstract:A new 5-DOF flexible coordinate measuring machine (CMM) is introduced in this paper, which uses REVO system produced by Renishaw. According...
Authors: Xiao Jun Zhu, Fu Yu Yan, Peng Wang, Zhi Jie Zhu
Chapter 1: Material Section
Abstract:The radial flexibility of ship pressure hull directly effects the structure tension of pressure hull, so it must be measured and controlled....
Authors: Sheng Jie Zhao, Chuan Wang
Chapter 3: Material Application, Green Chemistry, and Mining Engineering
Abstract:Abstract:Aiming at the nonlinear observation problem of target motion model in Cartesian coordinates, a novel target motion model in polar...
Authors: Ke Tao, Tian Shi Liu
Chapter 13: Mechanical Control and Information Processing Technology
Abstract:Abstract: This paper mainly studies the problem of the movement of PRP cylindrical coordinate industrial manipulator. Based on the...