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2021 | OriginalPaper | Chapter

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

Authors : Kamil Wereszczyński, Agnieszka Michalczuk, Paweł Foszner, Dominik Golba, Michał Cogiel, Michał Staniszewski

Published in: Computational Science – ICCS 2021

Publisher: Springer International Publishing

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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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Title: ELSA: Euler-Lagrange Skeletal Animations - Novel and Fast Motion Model Applicable to VR/AR Devices
Authors: Kamil Wereszczyński
Agnieszka Michalczuk
Paweł Foszner
Dominik Golba
Michał Cogiel
Michał Staniszewski
Publisher: Springer International Publishing
Book: Computational Science – ICCS 2021
Print ISBN: 978-3-030-77976-4

Electronic ISBN: 978-3-030-77977-1

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-77977-1_10

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