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ELSA: Euler-Lagrange Skeletal Animations - Novel and Fast Motion Model Applicable to VR/AR Devices

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Abstract

Euler Lagrange Skeletal Animation (ELSA) is the novel and fast model for skeletal animation, based on the Euler Lagrange equations of motion and configuration and phase space notion. Single joint’s animation is an integral curve in the vector field generated by those PDEs. Considering the point in the phase space belonging to the animation at current time, by adding the vector pinned to this point and multiplied by the elapsed time, one can designate the new point in the phase space. It defines the state, especially the position (or rotation) of the joint after this time elapses. Starting at time 0 and repeating this procedure N times, there is obtained the approximation, and if the \(N\rightarrow \infty \) the integral curve itself. Applying above, to all joint in the skeletal model constitutes ELSA.

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Author information

Authors and Affiliations

  1. Department of Computer Graphics, Vision and Digital Systems, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Akademicka 2A, 44-100, Gliwice, Poland

    Kamil Wereszczyński, Agnieszka Michalczuk, Paweł Foszner & Michał Staniszewski

  2. KP Labs, Gliwice, Poland

    Dominik Golba & Michał Cogiel

Authors
  1. Kamil Wereszczyński
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  2. Agnieszka Michalczuk
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  3. Paweł Foszner
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  4. Dominik Golba
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  5. Michał Cogiel
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  6. Michał Staniszewski
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Correspondence to Kamil Wereszczyński .

Editor information

Editors and Affiliations

  1. AGH University of Science and Technology, Krakow, Poland

    Maciej Paszynski

  2. Ludwig-Maximilians-Universität München, Munich, Germany

    Dieter Kranzlmüller

  3. University of Amsterdam, Amsterdam, The Netherlands

    Valeria V. Krzhizhanovskaya

  4. University of Tennessee at Knoxville, Knoxville, TN, USA

    Jack J. Dongarra

  5. University of Amsterdam, Amsterdam, The Netherlands

    Peter M.A. Sloot

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Wereszczyński, K., Michalczuk, A., Foszner, P., Golba, D., Cogiel, M., Staniszewski, M. (2021). ELSA: Euler-Lagrange Skeletal Animations - Novel and Fast Motion Model Applicable to VR/AR Devices. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12746. Springer, Cham. https://doi.org/10.1007/978-3-030-77977-1_10

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  • DOI: https://doi.org/10.1007/978-3-030-77977-1_10

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