Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Orthogonal Least Squares Estimation of Surface Parameters
 Institute of Control, Automation and Systems Engineers ICASE, Korea: Korea Automatic Control Conference 1999. Proceedings Yongin, Korea, 1999 pp.C365C370 
 Korea Automatic Control Conference (KACC) <1999, Yongin, Korea> Institute of Control, Automation and Systems Engineers (Annual Conference) <5, 1999, Yongin, Korea> 

 Korean 
 Conference Paper 
 Fraunhofer IPA () 
 Fitting; Nonlinear Least Squares; Oberflächenbearbeiten; Orthogonal Contacting Conditions; Orthogonal Distance Fitting; Surface Fitting 
Abstract
The least squares fitting of geometric features to given points minimizes the squares sum of erroroffit 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.