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Determination of Initial Parameters for Inverse Tomography Transformation in Eddy Current Tomography

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Automation 2018 (AUTOMATION 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 743))

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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).

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References

  1. Soleimani, M.: Simultaneous reconstruction of permeability and conductivity in magnetic induction tomography. J. Electromagn. Waves Appl. 23(5–6), 785–798 (2012)

    Google Scholar 

  2. 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)

    Google Scholar 

  3. Nowak, P., Nowicki, M., Juś, A., Szewczyk, R.: Utilization of eddy current tomography in automotive industry. Acta Phys. Pol. A 131, 1168–1170 (2017)

    Article  Google Scholar 

  4. 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)

    Google Scholar 

  5. 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)

    Google Scholar 

  6. Nowak, P., et al.: Discrete inverse transformation for eddy current tomography. Acta Physica Polonica A (2017, accepted for publication)

    Google Scholar 

  7. Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lagarias, J.C., et al.: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J. Optim. 9(1), 112–147 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  9. 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)

    Google Scholar 

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Acknowledgement

This work was partially supported by the statutory funds of Institute of Metrology and Biomedical Engineering.

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Correspondence to Paweł Nowak .

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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

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  • DOI: https://doi.org/10.1007/978-3-319-77179-3_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77178-6

  • Online ISBN: 978-3-319-77179-3

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