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Orthogonal Least Squares Estimation of Surface Parameters

: Ahn, S.J.; Cho, H.S.

Institute of Control, Automation and Systems Engineers -ICASE-, Korea:
Korea Automatic Control Conference 1999. Proceedings
Yongin, Korea, 1999
Korea Automatic Control Conference (KACC) <1999, Yongin, Korea>
Institute of Control, Automation and Systems Engineers (Annual Conference) <5, 1999, Yongin, Korea>
Conference Paper
Fraunhofer IPA ()
Fitting; Nonlinear Least Squares; Oberflächenbearbeiten; Orthogonal Contacting Conditions; Orthogonal Distance Fitting; Surface Fitting

The least squares fitting of geometric features to given points minimizes the squares sum of error-of-fit in predefined measures. By the geometric fitting, the error distances are defined with the orthogonal, or shortest, distances from the given points to the geometric feature to be fitted. For the geometric fitting of surfaces, robust algorithms are proposed which are based on the coordinate description of the corresponding point on the surface for the given point, where the connecting line of the two points is the shortest path from the given point to the surface. All necessary information for the iterative nonlinear least squares could be obtained from the derivatives of the coordinate transform equation and of the orthogonal contacting equations.