Advertisement

Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications

  • Serge Dos SantosEmail author
Chapter
  • 58 Downloads
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

An innovative pragmatic approach is described using a symbiosis of modern signal processing techniques coming from nonlinear science and multiscale global analysis usually considered for the characterization of nanoscale systems with complex mesoscopic properties. The basis of this systemic approach comes from ultrasound imaging of the complexity with examples coming from the non-destructive testing (NDT) industry and from the medical harmonic imaging research. Modeling uses basic tools derived from the analysis of nonlinear dynamics, such as spectrum representations coming from harmonic analysis and multiscale analysis, in association with advanced signal processing such as similarity and invariance analysis based on group theory. Experimentation is based on multimodal imaging using time reversal (TR) based nonlinear elastic wave spectroscopy (NEWS). Practical implementation in the aeronautic industry and the biomedical imaging field is taken as a demonstration of feasibility of such advanced engineering TR-NEWS methods for imaging complex systems with an advanced ground truth approach including round robin tests. This new class of multiscale materials is studied with phenomenological approaches like the Preisach–Mayergoyz space (PM space), where some physical properties like hysteresis, end-point memory, and odd harmonic generations are extracted from the noise. As a consequence, this approach is proposed for including phenomenological tools to any organizations’ strategies in order to monitor the vulnerability in a societal emergency management context. These results could be applied for the organizational side of innovation, cognition, and practices for novelty and disruption in political organizations, social monitoring, and any system which will involve big data or artificial intelligence.

Keywords

Signal processing Symmetry Invariance Nondestructive testing (NDT) Ultrasonic imaging Multiscale Pragmatic probability law Integritology Hierarchical analysis Decision theory Ground truth TR-NEWS 

Notes

Acknowledgements

This work has been partially supported by the Région Centre-Val de Loire (France) under the PLET project 2013-00083147. I would like to thank Prof. Kasso A. Okoudjou and Prof. Sadataka Furui for valuable discussions related to mathematical aspects of TR-NEWS concepts. Prof. Mostafa Maslouhi is also indebted for his invitation to present these ideas during the TEM2018 conference held in Kenitra, Morocco, March 2018.

References

  1. 1.
    B.E. Anderson, M.C. Remillieux, P.Y. Le Bas, T. Ulrich, in Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation (Springer, 2019), pp. 547–581Google Scholar
  2. 2.
    G. Busse, D. Van Hemelrijck, I. Solodov, A. Anastasopoulos, Emerging Technologies in NDT. Balkema - proceedings and monographs in engineering, water and earth sciences (Taylor & Francis, 2008). https://books.google.fr/books?id=M0KEYUaJuDMC
  3. 3.
    D. Burgos, L. Mujica, J. Rodellar, Emerging Design Solutions in Structural Health Monitoring Systems. Advances in Civil and Industrial Engineering Series (IGI Global, 2015)Google Scholar
  4. 4.
    P. Duchene, S. Chaki, A. Ayadi, P. Krawczak, Journal of Materials Science pp. 1–24 (2018)Google Scholar
  5. 5.
    S. Dos Santos, A. Masood, S. Furui, G. Nardoni, in 2018 16th Biennial Baltic Electronics Conference (BEC) (2018), pp. 1–4.  https://doi.org/10.1109/BEC.2018.8600977
  6. 6.
    J. Moysan, G. Corneloup, T. Sollier, NDT & E International 32(2), 79 (1999)CrossRefGoogle Scholar
  7. 7.
    M. Sezgin, B. Sankur, in Image Processing, 2001. Proceedings. 2001 International Conference on, vol. 3 (IEEE, 2001), vol. 3, pp. 764–767Google Scholar
  8. 8.
    D. Mery, V. Riffo, U. Zscherpel, G. Mondragón, I. Lillo, I. Zuccar, H. Lobel, M. Carrasco, Journal of Nondestructive Evaluation 34(4), 42 (2015)CrossRefGoogle Scholar
  9. 9.
    Z. Farova, V. Kus, S. Dos Santos, in Proc of the Forum Acusticum (Aalborg, 2011), pp. 991–996Google Scholar
  10. 10.
    S. Dos Santos, in Proceedings of the SPMS Stochastic and Physical Monitoring Systems International Conference (2012), ISBN 978-80-01-05130-6, pp. 19–40Google Scholar
  11. 11.
    C. Chen, Signal and Image Processing for Remote Sensing, Second Edition. Electrical engineering/remote sensing (Taylor & Francis, 2012). https://books.google.fr/books?id=QQDHl3L867QC
  12. 12.
    S. Dos Santos, S. Vejvodova, Z. Prevorovsky, Proceedings of the Estonian Academy of Sciences 59, 301 (2010)CrossRefMathSciNetGoogle Scholar
  13. 13.
    S. Dos Santos, N. Poirot, M. Brochard, in 2016 IEEE International Ultrasonics Symposium (IUS) (2016), pp. 1–4.  https://doi.org/10.1109/ULTSYM.2016.7728856
  14. 14.
    G. Filippidis, M. Mari, L. Kelegkouri, A. Philippidis, A. Selimis, K. Melessanaki, M. Sygletou, C. Fotakis, Microscopy and Microanalysis 21(2), 510–517 (2015).  https://doi.org/10.1017/S1431927614013580 CrossRefGoogle Scholar
  15. 15.
    S. Dos Santos, M. Lints, N. Poirot, A. Salupere, The Journal of the Acoustical Society of America 138(3), 1796 (2015)CrossRefGoogle Scholar
  16. 16.
    D. Broda, W. Staszewski, A. Martowicz, T. Uhl, V. Silberschmidt, Journal of Sound and Vibration 333(4), 1097 (2014).  https://doi.org/10.1016/j.jsv.2013.09.033. http://www.sciencedirect.com/science/article/pii/S0022460X13007876
  17. 17.
    G.P.M. Fierro, M. Meo, Ultrasonics 93, 43 (2019)CrossRefGoogle Scholar
  18. 18.
    K. Van Den Abeele, A. Sutin, J. Carmeliet, P.A. Johnson, NDT E International 34, 239 (2001)CrossRefGoogle Scholar
  19. 19.
    O. Bou Matar, S. Dos Santos, M. Vila, F. Vander Meulen, in Ultrasonics Symposium, 2002. Proceedings. 2002 IEEE, vol. 1 (IEEE, 2002), vol. 1, pp. 881–884Google Scholar
  20. 20.
    M. Vila, F. Vander Meulen, S. Dos Santos, L. Haumesser, O. Bou Matar, Ultrasonics 42, 1061 (2004)CrossRefGoogle Scholar
  21. 21.
    N. Li, J. Sun, J. Jiao, B. Wu, C. He, Ndt & E International 79, 63 (2016)CrossRefGoogle Scholar
  22. 22.
    F. Ciampa, S.G. Pickering, G. Scarselli, M. Meo, Structural Control and Health Monitoring 24(5), e1911 (2017)CrossRefGoogle Scholar
  23. 23.
    R.A. Guyer, P.A. Johnson, Physics Today 52, 30 (1999)CrossRefGoogle Scholar
  24. 24.
    R.A. Guyer, K.R. McCall, G.N. Boitnott, Phys. Rev. Lett. 74, 3491 (1994)CrossRefGoogle Scholar
  25. 25.
    M. Planat, S. Dos Santos, N. Ratier, J. Cresson, S. Perrine, in Proc. of the VII Van der Ziel Symposium on Quantum 1/f Noise and other Low Frequency Fluctuations in Electronic Devices, ed. by P.H. Handel, A.L. Chung (1999), p. 177Google Scholar
  26. 26.
    V. Sanchez-Morcillo, N. Jimenez, J. Chaline, A. Bouakaz, S. Dos Santos, in Localized Excitations in Nonlinear Complex Systems, Nonlinear Systems and Complexity, vol. 7, ed. by R. Carretero-Gonzalez, J. Cuevas-Maraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis, F. Palmero-Acebedo (Springer International Publishing, 2014), pp. 251–262Google Scholar
  27. 27.
    S. Dos Santos, N. Jimenez, V. Sanchez-Morcillo, in 2016 IEEE International Ultrasonics Symposium (IUS) (2016), pp. 1–4.  https://doi.org/10.1109/ULTSYM.2016.7728853
  28. 28.
    S. Dos Santos, C. Plag, Int. Journal of Non-Linear Mechanics 43, 164 (2008)CrossRefGoogle Scholar
  29. 29.
    B.J. Cantwell, Introduction to Symmetry Analysis (Cambridge University Press, 2002)Google Scholar
  30. 30.
    S. Dos Santos, B. Choi, A. Sutin, A. Sarvazyan, in Proc. of the 8ème Congrès Francais d’Acoustique (Tours, 2006), pp. 359–362Google Scholar
  31. 31.
    J. Chaline, N. Jimenez, A. Mehrem, A. Bouakaz, S. Dos Santos, V.S. Morcillo, The Journal of the Acoustical Society of America 138(6), 3600 (2015).  https://doi.org/10.1121/1.4936949. http://scitation.aip.org/content/asa/journal/jasa/138/6/10.1121/1.4936949
  32. 32.
    M. Frazier, B. Taddese, T. Antonsen, S.M. Anlage, Phys. Rev. Letters 110, 063902 (2013)CrossRefGoogle Scholar
  33. 33.
    J. Marotti, S. Heger, J. Tinschert, P. Tortamano, F. Chuembou, K. Radermacher, S. Wolfart, Oral and Maxillofacial Radiology 115, 819 (2013)Google Scholar
  34. 34.
    M. Miniaci, A. Gliozzi, B. Morvan, A. Krushynska, F. Bosia, M. Scalerandi, N. Pugno, Physical review letters 118(21), 214301 (2017)Google Scholar
  35. 35.
    T. Ulrich, A. Sutin, R. Guyer, P. Johnson, International Journal of Non-Linear Mechanics 43(3), 209 (2008)CrossRefGoogle Scholar
  36. 36.
    G. Zumpano, M. Meo, Int. J. Solids Struct. 44, 3666 84 (2007)Google Scholar
  37. 37.
    A. Sutin, B. Libbey, L. Fillinger, L. Sarvazyan, J. Acoust. Soc. Am. 125, 1906 (2009)CrossRefGoogle Scholar
  38. 38.
    L.A. Ostrovsky, O.V. Rudenko, in Proc. of the 18th International Symposium on Nonlinear Acoustics ISNA (Stockholm, 2008), pp. 9–16Google Scholar
  39. 39.
    M. Lints, A. Salupere, S. Dos Santos, Proceedings of the Estonian Academy of Sciences 64, 297 (2015). (IF2015: 0.794)CrossRefGoogle Scholar
  40. 40.
    O. Yesiltas, Physica Scripta 80(5), 055003 (2009)CrossRefGoogle Scholar
  41. 41.
    P. Trampus, V. Krstelj, in Proc of the ECNDT 2018 (2018)Google Scholar
  42. 42.
    L. Wenhui, J. Cheng, S. Dos Santos, Y. Chen, International Journal of Computational and Engineering 2, 235 (2017)Google Scholar
  43. 43.
  44. 44.
    Y. Chen, Y. Wu, Y. Cui, Z. Wang, D. Jin, Journal of Computational Science 1(3), 146 (2010).  https://doi.org/10.1016/j.jocs.2010.07.001. http://www.sciencedirect.com/science/article/pii/S1877750310000426
  45. 45.
    D. Remache, M. Caliez, M. Gratton, S. Dos Santos, Journal of the mechanical behavior of biomedical materials 77, 242 (2018).  https://doi.org/10.1016/j.jmbbm.2017.09.009. http://www.sciencedirect.com/science/article/pii/S1751616117303922
  46. 46.
    F. Mainardi, Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models (World Scientific, 2010)CrossRefzbMATHGoogle Scholar
  47. 47.
    D. Craiem, F.J. Rojo, J.M. Atienza, R.L. Armentano, G.V. Guinea, Physics in Medicine & Biology 53(17), 4543 (2008)CrossRefGoogle Scholar
  48. 48.
    I.D. Mayergoyz, J. Appl. Phys. 57, 3803 (1985)CrossRefGoogle Scholar
  49. 49.
    S. Dos Santos, C. Kosena, V. Kus, D. Remache, J. Pittet, M. Gratton, M. Caliez, in Proceedings of the 23nd International Congress on Sound and Vibration, Major challenges in Acoustics, Noise and Vibration Research. (2016)Google Scholar
  50. 50.
    L. Chua, IEEE Transactions on circuit theory 18(5), 507 (1971)Google Scholar
  51. 51.
    G. Indiveri, S.C. Liu, Proceedings of the IEEE 103(8), 1379 (2015)CrossRefGoogle Scholar
  52. 52.
    J.J. Yang, D.B. Strukov, D.R. Stewart, Nature nanotechnology 8(1), 13 (2013)Google Scholar
  53. 53.
    A. Ascoli, R. Tetzlaff, F. Corinto, M. Mirchev, M. Gilli, in 2013 14th Latin American Test Workshop-LATW (IEEE, 2013), pp. 1–6Google Scholar
  54. 54.
    F.Z. Wang, N. Helian, S. Wu, M.G. Lim, Y. Guo, M.A. Parker, IEEE Electron Device Letters 31(7), 755 (2010)CrossRefGoogle Scholar
  55. 55.
    G. Johnsen, C. Lütken, Ø. Martinsen, S. Grimnes, Physical Review E 83(3), 031916 (2011)CrossRefGoogle Scholar
  56. 56.
    S. Dos Santos, S. Furui, in 2016 IEEE International Ultrasonics Symposium (IUS) (2016), pp. 1–4.  https://doi.org/10.1109/ULTSYM.2016.7728885
  57. 57.
    S. Dos Santos, A. Masood, M. Lints, A. Salupere, C. Kozena, V. Kus, J.C. Pittet, M. Caliez, M. Gratton, in 25th International Congress on Sound and Vibration (ICSV25) (2018)Google Scholar
  58. 58.
    H. Ghorbel-Feki, A. Masood, M. Caliez, M. Gratton, J.C. Pittet, M. Lints, S. Dos Santos, Comptes Rendus Mécanique 347(3), 218 (2019)CrossRefGoogle Scholar
  59. 59.
    C. Kozena, V. Kus, S. Dos Santos, in 2016 15th Biennial Baltic Electronics Conference (BEC) (2016), pp. 179–182.  https://doi.org/10.1109/BEC.2016.7743758
  60. 60.
    S. Kim, C. Du, P. Sheridan, W. Ma, S. Choi, W.D. Lu, Nano letters 15(3), 2203 (2015)Google Scholar
  61. 61.
    M.A. Zidan, J.P. Strachan, W.D. Lu, Nature Electronics 1(1), 22 (2018)CrossRefGoogle Scholar
  62. 62.
    J. Papouskova, S. Dos Santos, V. Kus, in in Proc. of the BEC international Baltic IEEE conference (2012), IEEE Catalog Number CFP12BEC-PRT, ISSN 1736-3705, pp. 323–326Google Scholar
  63. 63.
    S. Dos Santos, Z. Prevorovsky, Ultrasonics 51(6), 667 (2011)CrossRefGoogle Scholar
  64. 64.
    G. Croain, R. Morel, Z. Prevorovský, S. Dos Santos, in SPMS 2013 proceedings (2013)Google Scholar
  65. 65.
    D. Chimura, R. Toh, S. Motooka, IEEE transactions on ultrasonics, ferroelectrics, and frequency control 64(12), 1874 (2017)Google Scholar
  66. 66.
    S. Dos Santos, in Proceedings of the Joint Congress CFA/DAGA’04 (Strasbourg, 2004), pp. 549–550Google Scholar
  67. 67.
    L. Schmerr, Fundamentals of Ultrasonic Nondestructive Evaluation: A Modeling Approach. Springer Series in Measurement Science and Technology (Springer International Publishing, 2016). https://books.google.fr/books?id=aNAYDAAAQBAJ
  68. 68.
    S. Dos Santos. The nonlinear mixing of waves: the up-and-coming method for transmission, evaluation and metrology. Academia NDT International invited Lecture (2011). http://www.academia-ndt.org/admin/Downloads/Topo_Academia-Munich2016-V2.pdf
  69. 69.
    C. Heaton, B.E. Anderson, S.M. Young, The Journal of the Acoustical Society of America 141(2), 1084 (2017)CrossRefGoogle Scholar
  70. 70.
    I. Petromichelakis, C. Tsogka, C. Panagiotopoulos, Wave Motion 79, 23 (2018).  https://doi.org/10.1016/j.wavemoti.2018.02.007. http://www.sciencedirect.com/science/article/pii/S0165212518300623
  71. 71.
    M. Lints, S. Dos Santos, A. Salupere, Wave Motion 71, 101 (2017)CrossRefGoogle Scholar
  72. 72.
    P. Hydon, Symmetry methods for Differential Equations: A beginner’s Guide (Cambridge University Press, 2000)CrossRefzbMATHGoogle Scholar
  73. 73.
    B.J. Cantwell, Introduction to Symmetry Analysis (Cambridge University Press (612 pages), 2002)Google Scholar
  74. 74.
    A.D. Polyanin, V.F. Zaitsev, Handbook of nonlinear partial differential equations (Chapman and Hall/CRC, 2016)CrossRefGoogle Scholar
  75. 75.
    J.G. Belinfante, B. Kolman, A Survey of Lie Groups and Lie Algebra with Applications and Computational Methods, vol. 2 (SIAM, 1989)Google Scholar
  76. 76.
    S. Dos Santos, J. Chaline, (American Institute of Physics Inc., 2015), vol. 1685.  https://doi.org/10.1063/1.4934412
  77. 77.
    M. Moran, R. Gaggioli, SIAM J. Appl. Math. 16, 202 (1968)CrossRefMathSciNetGoogle Scholar
  78. 78.
    Y.B. Gaididei, J.F. Archilla, V.J. Sánchez-Morcillo, C. Gorria, Physical Review E 93(6), 062227 (2016)CrossRefGoogle Scholar
  79. 79.
    T. Goursolle, S. Callé, S. Dos Santos, O. Bou Matar, J. Acoust. Soc. Am. 122(6), 3220 (2007)CrossRefGoogle Scholar
  80. 80.
    S. Vejvodova, Z. Prevorovsky, S. Dos Santos, in Proceedings of Meetings on Acoustics XIII-ICNEM, vol. 3 (ASA, 2008), vol. 3, p. 045003Google Scholar
  81. 81.
    P. Blanloeuil, L.F. Rose, M. Veidt, C.H. Wang, Journal of Sound and Vibration 417, 413 (2018)CrossRefGoogle Scholar
  82. 82.
    F. Wang, G. Song, Mechanical Systems and Signal Processing 130, 349 (2019)CrossRefGoogle Scholar
  83. 83.
    V. Sanchez-Morcillo, N. Jiménez, S. Dos Santos, J. Chaline, A. Bouakaz, N. Gonzalez, Modelling in science education and learning 6(3), 75 (2013)Google Scholar
  84. 84.
    D. Levi, M.A. Rodriguez, J. Phys. A: Math. Gen. 37, 1711 (2004)CrossRefGoogle Scholar
  85. 85.
    S. Dos Santos, M. Domenjoud, Z. Prevorovsky, Physics Procedia 3(1), 913 (2010)CrossRefGoogle Scholar
  86. 86.
    M. Lints, A. Salupere, S. Dos Santos, Acta Acustica united with Acustica 103(6), 978 (2017)Google Scholar
  87. 87.
    S. Dos Santos, Z. Prevorovsky, C. Mattei, V. Vengrinovich, G. Nardoni, in Proc. of the ECNDT 2018 conference (2018). https://www.ndt.net/article/ecndt2018/papers/ecndt-0623-2018.pdf
  88. 88.
    S. Wang, J. Wan, D. Zhang, D. Li, C. Zhang, Computer Networks 101, 158 (2016)CrossRefGoogle Scholar
  89. 89.
    M. Bertovic, M. Gaal, C. Müller, B. Fahlbruch, Insight-Non-Destructive Testing and Condition Monitoring 53(12), 673 (2011)CrossRefGoogle Scholar
  90. 90.
    B. Schölkopf, A. Smola, K.R. Müller, in Artificial Neural Networks — ICANN’97, ed. by W. Gerstner, A. Germond, M. Hasler, J.D. Nicoud (Springer Berlin Heidelberg, Berlin, Heidelberg, 1997), pp. 583–588CrossRefGoogle Scholar
  91. 91.
    S. Dos Santos, S. Dos Santos, in Proceedings of the SPMS Stochastic and Physical Monitoring Systems International Conference (2013), ISBN 978-80-01-05383-6, pp. 19–36Google Scholar
  92. 92.
    S. Furui, T. Takano, International Journal of Bifurcation and Chaos 25(11), 1550145 (2015)CrossRefMathSciNetGoogle Scholar
  93. 93.
    K.S. Nagapriya, A.K. Raychaudhuri, Phys. Rev. Lett. 96, 038102 (2006)CrossRefGoogle Scholar
  94. 94.
    S. Delrue, V. Aleshin, K. Truyaert, O.B. Matar, K. Van Den Abeele, Ultrasonics 82, 19 (2018)CrossRefGoogle Scholar
  95. 95.
    V. Kus, J. Papouskova, S. Dos Santos, in Proc. of the 6th NDT in Progress 2011 International Workshop of NDT Experts (2011), ISBN 978-80-214-4339, pp. 157–165Google Scholar
  96. 96.
    M. Planat, F. Lardet-Vieudrin, G. Martin, S. Dos Santos, G. Marianneau, Journal of applied physics 80(4), 2509 (1996)Google Scholar
  97. 97.
    C. Wernz, A. Deshmukh, European Journal of Operational Research 202(3), 828 (2010).  https://doi.org/10.1016/j.ejor.2009.06.022. http://www.sciencedirect.com/science/article/pii/S0377221709004913
  98. 98.
    A. de Tocqueville, De la démocratie en Amérique. No. vol. 1 in De la démocratie en Amérique (M. Lévy frères, 1868). https://books.google.fr/books?id=ShxSvVvbnaQC
  99. 99.
    T.P.J. Knowles, M.J. Buehler, Nature Nanotechnology 6, 469 (2011)CrossRefGoogle Scholar
  100. 100.
    V. Misra, D. Harmon, Y. Bar-Yam, in SSS 2010, LNCS, ed. by S.D. et al. (Springer-Verlag Berlin Heidelberg, 2010)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institut National des Sciences AppliquéesCentre Val de LoireBloisFrance
  2. 2.U1253 “Imaging and Brain: iBrain”, Team Imaging, Biomarkers, Therapy, InsermUniversité de ToursToursFrance

Personalised recommendations