Animation of deformable bodies with quadratic bézier finite elements

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Publication Type pre-print
School or College College of Engineering
Department Computing, School of
Creator Bargteil, Adam Wade
Other Author Cohen, Elaine
Title Animation of deformable bodies with quadratic bézier finite elements
Date 2014-01-01
Description In this article, we investigate the use of quadratic finite elements for graphical animation of deformable bodies.We consider both integrating quadratic elements with conventional linear elements to achieve a computationally efficient adaptive-degree simulation framework as well as wholly quadratic elements for the simulation of nonlinear rest shapes. In both cases, we adopt the B´ezier basis functions and employ a co-rotational linear strain formulation. As with linear elements, the co-rotational formulation allows us to precompute per-element stiffness matrices, resulting in substantial computational savings. We present several examples that demonstrate the advantages of quadratic elements in general and our adaptive-degree system in particular. Furthermore, we demonstrate, for the first time in computer graphics, animations of volumetric deformable bodies with nonlinear rest shapes.
Type Text
Publisher Association for Computing Machinery
Volume 33
Issue 3
First Page 1
Last Page 10
Language eng
Bibliographic Citation Bargteil, A. W., & Cohen, E. (2014). Animation of deformable bodies with quadratic bézier finite elements. ACM Transactions on Graphics, 33(3), 1-10.
Rights Management © ACM, 2014. This is the authors version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM Transactions on Graphics, 33(3), no. 27, 2014 ; ; doi>10.1145/2567943
Format Medium application/pdf
Format Extent 21,990,690 bytes
Identifier uspace,18756
ARK ark:/87278/s66b0cnw
Setname ir_uspace
Date Created 2014-09-15
Date Modified 2021-05-06
ID 712671
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