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http://dx.doi.org/10.5302/J.ICROS.2011.17.8.768

A Data Fitting Technique for Rational Function Models Using the LM Optimization Algorithm  

Park, Jae-Han (Korea Institute of Industrial Technology)
Bae, Ji-Hun (Korea Institute of Industrial Technology)
Baeg, Moon-Hong (Korea Institute of Industrial Technology)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.17, no.8, 2011 , pp. 768-776 More about this Journal
Abstract
This paper considers a data fitting problem for rational function models using the LM (Levenberg-Marquardt) optimization method. Rational function models have various merits on representing a wide range of shapes and modeling complicated structures by polynomials of low degrees in both the numerator and denominator. However, rational functions are nonlinear in the parameter vector, thereby requiring nonlinear optimization methods to solve the fitting problem. In this paper, we propose a data fitting method for rational function models based on the LM algorithm which is renowned as an effective nonlinear optimization technique. Simulations show that the fitting results are robust against the measurement noises and uncertainties. The effectiveness of the proposed method is further demonstrated by the real application to a 3D depth camera calibration problem.
Keywords
LM (Levenberg-Marquardt) algorithm; nonlinear optimization; rational function model;
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