ABSTRACT
In this paper, we advocate explicit symplectic Euler integration and strain limiting in a shape matching simulation framework. The resulting approach resembles not only previous work on shape matching and strain limiting, but also the recently popular position-based dynamics. However, unlike this previous work, our approach reduces to explicit integration under small strains, but remains stable in the presence of non-linearities.
Supplemental Material
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- Macklin, M., Müller, M., Chentanez, N., and Kim, T.-Y. 2014. Unified particle physics for real-time applications. ACM Trans. Graph. 33, 4, 104. Google ScholarDigital Library
- Müller, M., Heidelberger, B., Teschner, M., and Gross, M. 2005. Meshless deformations based on shape matching. ACM Trans. Graph. 24, 3 (July), 471--478. Google ScholarDigital Library
- Müller, M., Heidelberger, B., Hennix, M., and Ratcliff, J. 2007. Position based dynamics. J. Vis. Comun. Image Represent. 18, 2, 109--118. Google ScholarDigital Library
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- Thomaszewski, B., Pabst, S., and Strasser, W. 2009. Continuum-based strain limiting. Comput. Graph. Forum 28, 2, 569--576.Google ScholarCross Ref
- Wang, H., O'Brien, J., and Ramamoorthi, R. 2010. Multi-resolution isotropic strain limiting. ACM Trans. Graph. 29, 6, 156:1--156:10. Google ScholarDigital Library
Index Terms
- Strain limiting for clustered shape matching
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