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Continuous deformation energy for Dynamic Material Splines subject to finite displacements

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Part of the book series: Eurographics ((EUROGRAPH))

Abstract

This paper presents some improvements of a previous continuous parametric model for dynamic animation of curvilinear objects called Dynamic Material Splines (DMS). It begins with the replacement of the previous “parametric density” function by an actually “per unit length density” function. It then shows how continuous deformation energy can be used to model internal strains for DMS according to the classical theory of elasticity. After these theoretical developments, numerical results are given to point out the advantages of continuous deformation energy versus discrete springs.

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© 2001 Springer-Verlag Wien

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Nocent, O., Remion, Y. (2001). Continuous deformation energy for Dynamic Material Splines subject to finite displacements. In: Magnenat-Thalmann, N., Thalmann, D. (eds) Computer Animation and Simulation 2001. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6240-8_9

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  • DOI: https://doi.org/10.1007/978-3-7091-6240-8_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83711-5

  • Online ISBN: 978-3-7091-6240-8

  • eBook Packages: Springer Book Archive

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