AN NONLINEAR LEAST SQUARES ALGORITHM FOR SPATIAL COORDINATE TRANSFORMATION
Chen Yu and Bai Zhengdong
Department of Civil Engineering, Tsinghua University, Beijing 100084
Abstract A method for largerotationangle three dimensional rectangular coordinate transformation based on nonlinearleastsquares algorithm is put forward,which can achive the best valuation of sevenparameter by solving multifunction minimum. This method has many advantages, such as calculating simply, converging rapidly, relying less on the initial values of 7 transformational parameters, facilitating program realization. A simulation example and the comparison with other method prove its validity finally.
Key words ：
nonlinearleastsquares
coordinate transformation
sevenparameter
Bursa
GaussNewton
Received: 01 January 1900
Corresponding Authors:
Chen Yu
Cite this article:
Chen Yu and Bai Zhengdong,$author.xingMing_EN. AN NONLINEAR LEAST SQUARES ALGORITHM FOR SPATIAL COORDINATE TRANSFORMATION[J]. , 2010, 30(2): 129-132.
Chen Yu and Bai Zhengdong,$author.xingMing_EN. AN NONLINEAR LEAST SQUARES ALGORITHM FOR SPATIAL COORDINATE TRANSFORMATION[J]. jgg, 2010, 30(2): 129-132.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2010/V30/I2/129
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