Mathematical modeling of coordinate measuring machine (CMM) probe head and sensor calibration by least squares optimization and numerical solution of the resulting system of nonlinear algebraic equations. (English) Zbl 1203.93012
De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 39-50 (2010).
Summary: A methodology for mathematical modeling of Computerized Measuring Machine (CMM) probe head and touching sensor calibration is presented, aimed at the calculation of 3D sensor calibration parameters by means of multivariable least squares error optimization. The resulting system of nonlinear algebraic equations is solved by an iterative numerical method procedure and the obtained calibration parameters are then used in the programming and automation of the CMM measuring process. In order to validate calibration results, sensor parameters are compared with those obtained by other calibration software and methods. Applications of the method are multifarious, mainly in mechanical production sector.
For the entire collection see [Zbl 1182.00024].
For the entire collection see [Zbl 1182.00024].
MSC:
| 93A30 | Mathematical modelling of systems (MSC2010) |
| 93C95 | Application models in control theory |
| 93E25 | Computational methods in stochastic control (MSC2010) |
