Skip to main content
SpringerLink
Log in

iDeLog3D: Sigma-Lognormal Analysis of 3DHuman Movements

  • Conference paper
  • First Online:
Intertwining Graphonomics with Human Movements (IGS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13424))

Included in the following conference series:

Abstract

This paper proposes a 3D representation of human kinematics with the Kinematic Theory of Rapid Human Movements and its associated Sigma-Lognormal model. Based on the lognormality principle, a human movement is decomposed as a vector sum of temporally overlapped simple movements called strokes, described as two virtual target points linked by an arc of circumference and with the movement velocity having a lognormal shape. The paper extends the former 2D theory to the third dimension by linking the 3D virtual target points with planar circumferences covered with lognormal velocity profiles and reconstructing the 3D kinematics of the whole movement with temporally overlapping consecutive planes. Parameter optimization is accomplished jointly in the temporal and spatial domains. Moreover, the lognormal parameters used are numerically estimated, potentially providing a set of possible solutions that gain insights into the physical and biological meanings of the Sigma-Lognormal model parameters. We show that the 3D model, called iDeLog3D, achieves competitive results in analyzing the kinematics of multiple human movements recorded by various sensors at different sampling rates. The iDeLog3D is available to the scientific community following license agreements.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Winter, D.A.: Biomechanics and Motor Control of Human Movement. Wiley, Hoboken (2009)

    Book  Google Scholar 

  2. Plamondon, R., O’Reilly, C., Galbally, J., Almaksour, A., Anquetil, É.: Recent developments in the study of rapid human movements with the kinematic theory: Applications to handwriting and signature synthesis. Pattern Recognit. Lett. 35(1), 225–235 (2014). https://doi.org/10.1016/j.patrec.2012.06.004

    Article  Google Scholar 

  3. Plamondon, R.: A kinematic theory of rapid human movements: part i. movement representation and generation. Biol. Cybern. 72(4), 295–307 (1995). https://doi.org/10.1007/BF00202785

    Article  MATH  Google Scholar 

  4. Plamondon, R.: A kinematic theory of rapid human movements: part III. Kinetic outcomes. Biol. Cybern. 78(2), 133–145 (1998). https://doi.org/10.1007/s004220050420

    Article  MATH  Google Scholar 

  5. Plamondon, R.: A kinematic theory of rapid human movements. part iv: a formal mathematical proof and new insights. Biol. Cybern. 89(2), 126–138 (2003). https://doi.org/10.1007/s00422-003-0407-9

    Article  MATH  Google Scholar 

  6. Plamondon, R., Guerfali, W.: The generation of handwriting with delta-lognormal synergies. Biol. Cybern. 78, 119–132 (1998). https://doi.org/10.1007/s004220050419

    Article  MATH  Google Scholar 

  7. O’Reilly, C., Plamondon, R.: Development of a Sigma-Lognormal representation for on-line signatures. Pattern Recognit. 42(12), 3324–3337 (2009). https://doi.org/10.1016/j.patcog.2008.10.017

    Article  MATH  Google Scholar 

  8. Ferrer, M.A., Diaz, M., Carmona-Duarte, C., Plamondon, R.: iDeLog: iterative dual spatial and kinematic extraction of sigma-lognormal parameters. IEEE Trans. Pattern Anal. Mach. Intell. 42(1), 114–125 (2020). https://doi.org/10.1109/TPAMI.2018.2879312

    Article  Google Scholar 

  9. Leduc, N., Plamondon, R.: A new approach to the study of human movements: the three-dimensional delta-lognormal model. In: 10th International Conference on Graphonomics Society, pp. 98–102 (2001)

    Google Scholar 

  10. Djioua, M., Plamondon, R., Della Cioppa, A.: Contributions à la généralisation, à la compréhension et à l’utilisation de la théorie cinématique dans l’analyse et la synthèse du mouvement humain, Dissertation for Doctoral Degree. Montréal: Ecole Polytechnique de Montréal (2007)

    Google Scholar 

  11. Chidami, S., Archambault-Caron, M., Plamondon, R.: The delta-lognormal model in 2.5D. In: International Conference on Pattern Recognition and Artificial Intelligence, pp. 743–747 (2018)

    Google Scholar 

  12. Chidami, S., Archambault-Caron, M., Plamondon, R.: Applying the delta-lognormal model to simple 3D hand movements. In: The Lognormality Principle and Its Applications in e-security, e-learning and e-health, vol. 88, pp. 403–406. World Scientific (2020). ISBN: 978-081-122-682-2

    Google Scholar 

  13. Schindler, R., Bouillon, M., Rejean, P., Fischer, A.: Extending the sigma-lognormal model of the kinematic theory to three dimensions. In: International Conference on Pattern Recognition and Artificial Intelligence, pp. 748–752 (2018)

    Google Scholar 

  14. Fischer, A., Schindler, R., Bouillon, M., Plamondon, R.: Modeling 3D movements with the kinematic theory of rapid human movements. In: Plamondon, R., Marcelli, A., Ferrer, M.A. (eds.) The Lognormality Principle and Its Applications in e-security, e-learning and e-health, Series in Machine Perception Artificial Intelligence, vol. 88, pp. 327–342. World Scientific (2020). ISBN 978-081-122-682-2

    Google Scholar 

  15. Plamondon, R.: The lognormality principle: a personalized survey. In: The Lognormality Principle and Its Applications in e-security, e-learning and e-health, vol. 2020, pp. 1–40. World Scientific (2021). ISBN 978-081-122-682-2

    Google Scholar 

  16. Kandel, E.R., Schwartz, J.H., Jessell, T.M.: Principles of Neural Science, vol. 4 (2013)

    Google Scholar 

  17. Müller, M., et al.: Documentation Mocap Database HDM05, Technical report, No. CG-2007-2, ISSN 1610-8892, Univ. Bonn (2007)

    Google Scholar 

  18. Chen, M., AlRegib, G., Juang, B.-H.: Air-writing recognition—part ii: detection and recognition of writing activity in continuous stream of motion data. IEEE Trans. Hum.-Mach. Syst. 46(3), 436–444 (2016). https://doi.org/10.1109/THMS.2015.2492599

    Article  Google Scholar 

  19. Xia, L., Chen, C.-C., Aggarwal, J.K.: View invariant human action recognition using histograms of 3D joints. In: 2012 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, pp. 20–27 (2012). https://doi.org/10.1109/CVPRW.2012.6239233

  20. Behera, S.K., Dogra, D.P., Roy, P.P.: Analysis of 3D signatures recorded using leap motion sensor. Multimedia Tools Appl. 77(11), 14029–14054 (2017). https://doi.org/10.1007/s11042-017-5011-4

    Article  Google Scholar 

  21. Malik, J., Elhayek, A., Guha, S., Ahmed, S., Gillani, A., Stricker, D.: DeepAirSig: end-to-end deep learning based in-air signature verification. IEEE Access 8, 195832–195843 (2020). https://doi.org/10.1109/ACCESS.2020.3033848

    Article  Google Scholar 

Download references

Acknowledgments

This study was funded by the Spanish government's MIMECO PID2019-109099RB-C41 research project and European Union FEDER program/funds, the CajaCanaria and la Caixa bank grant 2019SP19, and NSERC grant RGPIN-2015-06409. C. Carmona-Duarte was supported by a Viera y Clavijo grant from ULPGC.

Author information

Authors and Affiliations

  1. Universidad de Las Palmas de Gran Canaria, Las Palmas, Spain

    Miguel A. Ferrer, Moises Diaz, Cristina Carmona-Duarte & Jose Juan Quintana

  2. Universidad del Atlantico Medio, Las Palmas, Spain

    Moises Diaz

  3. Ecole Polytechnique, Montreal, Canada

    Réjean Plamondon

Authors
  1. Miguel A. Ferrer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Moises Diaz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Cristina Carmona-Duarte
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jose Juan Quintana
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Réjean Plamondon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Miguel A. Ferrer .

Editor information

Editors and Affiliations

  1. Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Cristina Carmona-Duarte

  2. Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Moises Diaz

  3. Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Miguel A. Ferrer

  4. Universidad Autónoma de Madrid, Madrid, Spain

    Aythami Morales

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ferrer, M.A., Diaz, M., Carmona-Duarte, C., Quintana, J.J., Plamondon, R. (2022). iDeLog3D: Sigma-Lognormal Analysis of 3DHuman Movements. In: Carmona-Duarte, C., Diaz, M., Ferrer, M.A., Morales, A. (eds) Intertwining Graphonomics with Human Movements. IGS 2022. Lecture Notes in Computer Science, vol 13424. Springer, Cham. https://doi.org/10.1007/978-3-031-19745-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-19745-1_14

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-19744-4

  • Online ISBN: 978-3-031-19745-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation