An Algorithm of a Freeform Surfaces Measurement Adjustment Using a Specification of the Workpiece Coordinate System Location
| 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 |
CORRESPONDING AUTHOR
Miroslav Dovica
Biomedical Engineering and Measurement, Technical University in Košice, Letná 9, 041 87 Košice, Slovak Republic
Biomedical Engineering and Measurement, Technical University in Košice, Letná 9, 041 87 Košice, Slovak Republic
Publication date: 2017-09-03
Adv. Sci. Technol. Res. J. 2017; 11(3):223–232
KEYWORDS
TOPICS
Computer Modeling and SimulationsMachinery, technology and equipmentScientific and technical researchComputer EngineeringManufacturing techniques
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.
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