Paper Title:

Comparing of Coordinate Transformation Based on Total Least Squares and Least Squares

Periodical Applied Mechanics and Materials (Volumes 522 - 524)
Main Theme Environmental Protection and Sustainable Development
Chapter Chapter 11: Geographic Information Science and Remote Sensing
Edited by Fauziah Shahul Hamid, Seung-Bok Choi and Liyuan Han
Pages 1211-1214
DOI 10.4028/www.scientific.net/AMM.522-524.1211
Citation Qing Wu Meng et al., 2014, Applied Mechanics and Materials, 522-524, 1211
Online since February 2014
Authors Qing Wu Meng, Lu Meng
Keywords Comparing, Coordinate Transformation, Least Squares Model, Total Least Squares Model
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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.