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10
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92.2
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An Algorithm of a Freeform Surfaces Measurement Adjustment Using a Specification of the Workpiece Coordinate System Location

Jan Buša 1,  
Jan Buša Jr, 1,  
Miroslav Dovica 2  ,  
Peter Izol 3,  
 
1
Faculty of Electrical Engineering and Informatics, Technical University of Košice, Slovak Republic
2
Biomedical Engineering and Measurement, Technical University in Košice, Slovak Republic
3
Faculty of Mechanical Engineering, Technical University of Košice, Slovak Republic
4
VŠB – Technical University of Ostrava, Czech Republic
Adv. Sci. Technol. Res. J. 2017; 11(3):223–232
Publish date: 2017-09-03
KEYWORDS:
TOPICS:
ABSTRACT:
A difficulty of freeform surfaces evaluations lies in a setup of a coordinate measuring system in general, when it is not possible to use the standard system of alignment by a point, a line, and a surface. An algorithm for the measurement adjustment using a small workpiece coordinate system movement and rotation to achieve a smaller least square error of the produced surface for a given freeform surface defined by the function of two variables is considered. The algorithm is using the Newton method for calculation of the orthogonal distance of a measured point to the given surface and also for minimization of sum of the distance squares. Numerical results for an example are given.
CORRESPONDING AUTHOR:
Miroslav Dovica   
Biomedical Engineering and Measurement, Technical University in Košice, Letná 9, 041 87 Košice, Slovak Republic
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