Abstract
The paper presents approach for determination of initial values of optimized parameters for inverse tomography transformation in eddy current tomography. Inverse tomography transformation is optimization procedure where objective function is residual sum of square errors between measurement results and results of forward tomography transformation for optimized model. Current approach is based on optimization of tested objects’ cross section, which is described by 4 parameters – radius, defect width, depth and angular position. Paper focuses on determining initial values of radius and defects’ angular position. FEM-based forward tomography transformations were conducted for spindle with changing radius, as well as for spindle with different angular position of defect. Obtained results confirmed possibility of determination of those parameters, basing on amplitude measurements (for angular position of defect) and phase shift measurements (for objects’ radius).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Soleimani, M.: Simultaneous reconstruction of permeability and conductivity in magnetic induction tomography. J. Electromagn. Waves Appl. 23(5–6), 785–798 (2012)
Salach, J.: Non-destructive testing of cylindrical ferromagnetic and non-magnetic materials using eddy current tomography. In: Mechatronics - Ideas for Industrial Application. Advances in Intelligent Systems and Computing, vol. 317, pp. 373–380 (2015)
Nowak, P., Nowicki, M., Juś, A., Szewczyk, R.: Utilization of eddy current tomography in automotive industry. Acta Phys. Pol. A 131, 1168–1170 (2017)
Szewczyk, R., Salach, J., Ruokolainen, J., Råback, P., Stefko, K., Nowicki, M.: Noise assessment in whitney elements based forward transformation for high resolution eddy current tomography. In: Progress in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol. 352, pp. 219–224 (2015)
Nowak, P.: Validation of finite element method solver for utilization in eddy current tomography. In: Advanced Mechatronics Solutions. Advances in Intelligent Systems and Computing, vol. 393, pp. 173–179 (2016)
Nowak, P., et al.: Discrete inverse transformation for eddy current tomography. Acta Physica Polonica A (2017, accepted for publication)
Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965)
Lagarias, J.C., et al.: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J. Optim. 9(1), 112–147 (1998)
Nowak, P., Szewczyk, R., Ugodziński, R., Bazydło, P.: Optimization of interpolation for improved numeric calculation of forward eddy current tomography transformation. In: International Conference Automation. Advances in Intelligent Systems and Computing, vol. 550, pp. 481–487 (2017)
Acknowledgement
This work was partially supported by the statutory funds of Institute of Metrology and Biomedical Engineering.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Nowak, P., Szewczyk, R. (2018). Determination of Initial Parameters for Inverse Tomography Transformation in Eddy Current Tomography. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2018. AUTOMATION 2018. Advances in Intelligent Systems and Computing, vol 743. Springer, Cham. https://doi.org/10.1007/978-3-319-77179-3_66
Download citation
DOI: https://doi.org/10.1007/978-3-319-77179-3_66
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77178-6
Online ISBN: 978-3-319-77179-3
eBook Packages: EngineeringEngineering (R0)