| Zugriffsnummer | 42048 |
| Dokumenttyp | Konferenzartikel |
| Peer Review | unbekannt |
| Sprache | Englisch |
| Titel | A generic incremental test data generator for minimax-type fitting in coordinate metrology |
| Autor(in); Institution |
Hutzschenreuter, Daniel; 1.1, Masse - Weitergabe der Einheit, PTB-Braunschweig
|
| Quelle/Jahr | Advanced Mathematical and Computational Tools in Metrology and Testing XI: 89 (2018), 203 - 210 |
| Schriftenreihe | Series on advances in mathematics for applied sciences: 89 |
| Herausgeber(in) |
Forbes, Alistair B.; National Physical Laboratory, Teddington, UK
Eichstädt, Sascha; PSt, Präsidialer Stab, PTB-Braunschweig
|
| ISBN | 978-981-3274-29-7 ; 978-981-3274-31-0 |
| DOI | |
| Verlag | New Jersey: World Scientific Publishing |
| Konferenzangaben | Advanced Mathematical and Computational Tools in Metrology and Testing XI (AMCTM 2017), Glasgow, 29-31, August, 2017, UK |
| Freie Schlagworte | Coordinate Metrology ; Fitting Software ; Software Test ; Test Data Generator ; Chebyshev ; Hole Pattern Fitting ; Lock Point |
| Zusammenfassung | A new inverse test data generator method for minimax-type fitting applications such as Chebyshev, maximum inscribed and minimum circumscribed geometric element fitting as well as the fitting of hole patterns is presented. The method combines aspects of mathematical validation and heuristic measurement point positioning. This is needed in coordinate metrology as manufacturers and users of 3D coordinate measuring machine software are required to assess the accuracy of their measurands. As part of the generator method synthetic measurement data sets are created where a specific subset of points provides compliance with necessary and sufficiency optimality conditions for an a-priory defined fitting solution. Data sets with regular and nonregular reference solutions can be created to a high numerical accuracy for a variety of geometrical elements with different random and systematic point positions and form deviation characteristics. Furthermore, applications with equality constraints in the fitting models are covered. The theoretical descriptions on the inverse test data generator are supplemented by experimental data for two nontrivial fitting applications. For these the reliability of the incremental creation and numerical uncertainties of the test data sets are discussed. The comparison shows a good agreement between numerical experiments and the expected theoretical accuracy in the range of 10-14. |
| Themenbereich der Metrologie | Masse und abgeleitete Größen |
Zitierung
Hutzschenreuter, D. (2018). A generic incremental test data generator for minimax-type fitting in coordinate metrology. Advanced Mathematical and Computational Tools in Metrology and Testing XI (AMCTM 2017), Glasgow, 29-31, August, 2017, UK. https://doi.org/10.1142/9789813274303_0018