Abstract
We present a physically-based system to simulate and control the locomotion of soft body characters without skeletons. We use the finite element method to simulate the deformation of the soft body, and we instrument a character with muscle fibers to allow it to actively control its shape. To perform locomotion, we use a variety of intuitive controls such as moving a point on the character, specifying the center of mass or the angular momentum, and maintaining balance. These controllers yield an objective function that is passed to our optimization solver, which handles convex quadratic program with linear complementarity constraints. This solver determines the new muscle fiber lengths, and moreover it determines whether each point of contact should remain static, slide, or lift away from the floor. Our system can automatically find an appropriate combination of muscle contractions that enables a soft character to fulfill various locomotion tasks, including walking, jumping, crawling, rolling and balancing.
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- Abe, Y., da Silva, M., and Popović, J. 2007. Multiobjective control with frictional contacts. In Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '07, 249--258. Google Scholar
Digital Library
- Allard, J., Faure, F., Courtecuisse, H., Falipou, F., Duriez, C., and Kry, P. G. 2010. Volume contact constraints at arbitrary resolution. ACM Trans. Graph. 29 (July), 82:1--82:10. Google Scholar
Digital Library
- Anitescu, M., and Potra, F. A. 1997. Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Nonlinear Dynamics 14, 231--247.Google Scholar
Cross Ref
- Bai, L., Mitchell, J. E., and Pang, J.-S. 2011. On convex quadratic programs with linear complementarity constraints. In submission.Google Scholar
- Baraff, D., and Witkin, A. 1998. Large steps in cloth simulation. In Proceedings of the 25th annual conference on Computer graphics and interactive techniques, SIGGRAPH '98, 43--54. Google Scholar
Digital Library
- Barbič, J., and James, D. L. 2005. Real-time subspace integration for St. Venant-Kirchhoff deformable models. ACM Transactions on Graphics (SIGGRAPH 2005) 24, 3 (Aug.), 982--990. Google Scholar
Digital Library
- Barbič, J., and Popović, J. 2008. Real-time control of physically based simulations using gentle forces. ACM Trans. on Graphics (SIGGRAPH Asia 2008) 27, 5, 163:1--163:10. Google Scholar
Digital Library
- Barbič, J., da Silva, M., and Popović, J. 2009. Deformable object animation using reduced optimal control. ACM Trans. on Graphics (SIGGRAPH 2009) 28, 3. Google Scholar
Digital Library
- Bargteil, A. W., Wojtan, C., Hodgins, J. K., and Turk, G. 2007. A finite element method for animating large viscoplastic flow. ACM Trans. Graph. 26 (July). Google Scholar
Digital Library
- Bathe, K.-J. 2007. Finite Element Procedures. Prentice-Hall, London.Google Scholar
- Bergou, M., Mathur, S., Wardetzky, M., and Grinspun, E. 2007. TRACKS: Toward Directable Thin Shells. ACM Transactions on Graphics (SIGGRAPH) 26, 3 (jul), 50:1--50:10. Google Scholar
Digital Library
- Braun, S., and Mitchell, J. E. 2005. A semidefinite programming heuristic for quadratic programming problems with complementarity constraints. Computational Optimization and Application 31, 5--29. Google Scholar
Digital Library
- Bridson, R., Fedkiw, R., and Anderson, J. 2002. Robust treatment of collisions, contact and friction for cloth animation. In Proceedings of the 29th annual conference on Computer graphics and interactive techniques, SIGGRAPH '02, 594--603. Google Scholar
Digital Library
- DiLorenzo, P. C., Zordan, V. B., and Sanders, B. L. 2008. Laughing out loud: control for modeling anatomically inspired laughter using audio. In ACM SIGGRAPH Asia 2008 papers, SIGGRAPH Asia '08, 125:1--125:8. Google Scholar
Digital Library
- Erleben, K. 2007. Velocity-based shock propagation for multibody dynamics animation. ACM Trans. Graph. 26 (June). Google Scholar
Digital Library
- Grzeszczuk, R., and Terzopoulos, D. 1995. Automated learning of muscle-actuated locomotion through control abstraction. In Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, 63--70. Google Scholar
Digital Library
- Hu, J., Mitchell, J. E., Pang, J.-S., Bennett, K. P., and Kunapuli, G. 2008. On the global solution of linear programs with linear complementarity constraints. SIAM Journal on Optimization 19, 445--471. Google Scholar
Digital Library
- Irving, G., Teran, J., and Fedkiw, R. 2004. Invertible finite elements for robust simulation of large deformation. In Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '04, 131--140. Google Scholar
Digital Library
- Irving, G., Schroeder, C., and Fedkiw, R. 2007. Volume conserving finite element simulations of deformable models. ACM Trans. Graph. 26 (July). Google Scholar
Digital Library
- Jain, S., Ye, Y., and Liu, C. K. 2009. Optimization-based interactive motion synthesis. ACM Transaction on Graphics 28, 1, 1--10. Google Scholar
Digital Library
- James, D. L., and Pai, D. K. 2003. Multiresolution Green's function methods for interactive simulation of large-scale elastostatic objects. ACM Trans. Graph. 22 (January), 47--82. Google Scholar
Digital Library
- Kaufman, D. M., Sueda, S., James, D. L., and Pai, D. K. 2008. Staggered projections for frictional contact in multibody systems. ACM Trans. Graph. 27 (December), 164:1--164:11. Google Scholar
Digital Library
- Kier, W. M. 1985. Tongues, tentacles and trunks: The biomechanics of movement in muscular-hydrostats. Zoological Journal of the Linnean Society 83, 307--324.Google Scholar
- Kim, T., and James, D. L. 2009. Skipping steps in deformable simulation with online model reduction. ACM Trans. Graph. 28 (December), 123:1--123:9. Google Scholar
Digital Library
- Kim, J., and Pollard, N. S. 2011. Direct control of simulated non-human characters. IEEE Computer Graphics and Applications 31, 4 (July), 56--65. Google Scholar
Digital Library
- Kim, J., and Pollard, N. S. 2011. Fast simulation of skeleton-driven deformable body characters. ACM Transactions on Graphics 30, 5 (October). Google Scholar
Digital Library
- Kondo, R., Kanai, T., and Anjyo, K.-i. 2005. Directable animation of elastic objects. In Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '05, 127--134. Google Scholar
Digital Library
- Lee, S.-H., and Terzopoulos, D. 2006. Heads Up! Biomechanical Modeling and Neuromuscular Control of the Neck. ACM Transactions on Graphics 25, 3 (July), 1188--1198. Google Scholar
Digital Library
- Lee, S.-H., Sifakis, E., and Terzopoulos, D. 2009. Comprehensive biomechanical modeling and simulation of the upper body. ACM Trans. Graph. 28 (September), 99:1--99:17. Google Scholar
Digital Library
- Macchietto, A., Zordan, V., and Shelton, C. R. 2009. Momentum control for balance. ACM Trans. Graph. 28 (July), 80:1--80:8. Google Scholar
Digital Library
- Martin, S., Thomaszewski, B., Grinspun, E., and Gross, M. 2011. Example-based elastic materials. ACM Trans. Graph. 30 (Aug.), 72:1--72:8. Google Scholar
Digital Library
- Miller, G. S. P. 1988. The motion dynamics of snakes and worms. SIGGRAPH Comput. Graph. 22 (June), 169--173. Google Scholar
Digital Library
- Müller, M., Dorsey, J., McMillan, L., Jagnow, R., and Cutler, B. 2002. Stable real-time deformations. In Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '02, 49--54. Google Scholar
Digital Library
- Nesme, M., Payan, Y., and Faure, F. 2005. Efficient, physically plausible finite elements. In Eurographics 2005, Short papers, August, 2005, J. Dingliana and F. Ganovelli, Eds.Google Scholar
- O'Brien, J. F., and Hodgins, J. K. 1999. Graphical modeling and animation of brittle fracture. In Proceedings of the 26th annual conference on Computer graphics and interactive techniques, SIGGRAPH '99, 137--146. Google Scholar
Digital Library
- Otaduy, M. A., Tamstorf, R., Steinemann, D., and Gross, M. 2009. Implicit contact handling for deformable objects. Computer Graphics Forum (Proc. of Eurographics) 28, 2 (apr).Google Scholar
Cross Ref
- Si, H., 2006. Tetgen: A quality tetrahedral mesh generator and a 3D Delaunay triangulator, January.Google Scholar
- Sifakis, E., Neverov, I., and Fedkiw, R. 2005. Automatic determination of facial muscle activations from sparse motion capture marker data. ACM Trans. Graph. 24 (July), 417--425. Google Scholar
Digital Library
- Stewart, D., and Trinkle, J. C. 1996. An implicit time-stepping scheme for rigid body dynamics with Coulomb friction. International Journal of Nnumerical Methods in Engineering 39, 2673--2691.Google Scholar
Cross Ref
- Sueda, S., Kaufman, A., and Pai, D. K. 2008. Musculotendon simulation for hand animation. ACM Trans. Graph. 27 (August), 83:1--83:8. Google Scholar
Digital Library
- Teran, J., Blemker, S., Hing, V. N. T., and Fedkiw, R. 2003. Finite volume methods for the simulation of skeletal muscle. In Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '03, 68--74. Google Scholar
Digital Library
- Teran, J., Sifakis, E., Blemker, S. S., Ng-Thow-Hing, V., Lau, C., and Fedkiw, R. 2005. Creating and simulating skeletal muscle from the visible human data set. IEEE Transactions on Visualization and Computer Graphics 11 (May), 317--328. Google Scholar
Digital Library
- Terzopoulos, D., Platt, J., Barr, A., and Fleischer, K. 1987. Elastically deformable models. In Proceedings of the 14th annual conference on Computer graphics and interactive techniques, SIGGRAPH '87, 205--214. Google Scholar
Digital Library
- Tsang, W., Singh, K., and Fiume, E. 2005. Helping hand: an anatomically accurate inverse dynamics solution for unconstrained hand motion. In Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation, SCA '05, 319--328. Google Scholar
Digital Library
- Tu, X., and Terzopoulos, D. 1994. Artificial fishes: Physics, locomotion, perception, behavior. In Proceedings of the 21st annual conference on Computer graphics and interactive techniques, ACM, 43--50. Google Scholar
Digital Library
- Zordan, V. B., Celly, B., Chiu, B., and DiLorenzo, P. C. 2006. Breathe easy: model and control of human respiration for computer animation. Graph. Models 68 (March), 113--132. Google Scholar
Digital Library
Index Terms
Soft body locomotion
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