Nonlinear Measurement Data Processing Based on Improved Damping Least Squares

Abstract:

Datum are the key of “Digital Earth”.In measurement, dealing with nonlinear models of observation datum, we may take their approximate values at observation values by Taylor series expansion, say, taking first-order item as a linear function of classical adjustment. But requirements of observation data, processing and accuracy assessment are higher and higher with today's fast-growing of high-tech mapping and surveying. So study on nonlinear least squares adjustment has been paid more and more attention. Damping least squares, as a modified algorithm of Gauss-Newton’s algorithm, is necessary to add a damping factor to improve the nature of a coefficient matrix. But it is difficult to choose a suitable damping factor, and needs to solve a group of linear equations repeatedly. In this paper, an improved damping least square was utilized for the non-linear processing of measurement datum in order to reduce a lot of computational workload.

• Periodical: Applied Mechanics and Materials (Volumes 105-107)
• Pages: 2034-2038
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.105-107.2034
• Online since: September 2011
• Authors: Gui Ling Li
• Keywords: Modified Marquardt Method, Nonlinear, Parameter Adjustment

References

[1] H.X. Tao and J.Y. Guo: Journal of Shandong University of Science and Technology ( Natural Science), Vol. 23 (2004) No.2, p.1( In Chinese).

[2] G.L. Li, J.H. Wan and H.X. Tao: Journal of Wuhan University ( Geodmatics and Information Science), Vol. 26(2001) No.2, p.118( In Chinese).

[3] Y.X. Yang and L.P. Zhang: Geospatial Information, Vol. 7(2009) No. 6, p.1( In Chinese).

[4] H.X. Tao: Transactions of Nonferrous Metals Society of China, Vol. 13(2003) No. 3, p.720.

[5] D.R. Wang: Solving Process and Optimization Method of Nonlinear Equations (Higher Education Press,China,1979),p.43( In Chinese).

[6] K.C. Zhang: Algorithm and Analysis of Engineering Optimization ( Xi'an Jiaotong University Press, China,1986),p.20( In Chinese).

[7] G.L.Li, R.H.Li and H.X. Tao: Journal of Petroleum University, Vol. 25 (2001) No.1, p.102( In Chinese).