Abstract
We present a new approach for interactive solid animation. It allows a user to efficiently trade-off accuracy for speed, making complicated structures tractable in interactive time. Linearized displacement constraints are used in conjunction with an efficient iterative equation solver to perform the assembly of articulated solids. This allows the initialization of a scene and the correction of numerical integration errors. A robust integration scheme limits the instabilities due to approximations. Applications are shown and discussed.
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References
U. M. Ascher, H. Chin, L.R. Petzold, and S. Reich. Stabiliation of constrained mechanical systems with daes and invariant manifold. Journal of Mechanics of Structures and Machines, 23(2):135–157, 1995.
Ronen Barzel and Alan H. Barr. A modeling system based on dynamic constraints. In John Dill, editor, Computer Graphics (SIGGRAPH’ 88 Proceedings), volume 22, pages 179–188, August 1988.
J. Baumgarte. Stabilization of constraints and integrals of motion in dynamical systems. Computer Methods in Applied Mechanics, 1:1–36, 1972.
Hong Sheng Chin. Stabilization Methods for Simulations of Constrained Multibody Dynamics. PhD thesis, University of British Columbia, 1995.
M.P. Gascuel and J.D. Gascuel. Displacement constraints for interactive modeling and animation of articulated structures. The Visual Computer, 10(4): 191–204, March 1994.
Michael Girard and Anthony A. Maciejewski. Computational modeling for the computer animation of legged figures. In B. A. Barsky, editor, Computer Graphics (SIGGRAPH’ 85 Proceedings), volume 19, pages 263–270, July 1985.
M. Gleicher. A Differential Approach to Graphical Manipulation. PhD thesis, Carnegie Mellon University, 1994.
Paul M. Isaacs and Michael F. Cohen. Mixed methods for complex kinematic constraints in dynamic figure animation. The Visual Computer, 4(6):296–305, December 1988.
Press, Teukolski, Vetterling, and Flannery. Numerical Recipes in C. Cambridge University Press, 1992.
W. Schielen. Multibody Systems Handbook. Springer, Berlin, 1990.
Jianmin Zhao and Norman I. Badler. Inverse kinematics positioning using nonlinear programming for highly articulated figures. ACM Transactions on Graphics, 13(4):313–336, October 1994.
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© 1999 Springer-Verlag Wien
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Faure, F. (1999). Interactive Solid Animation Using Linearized Displacement Constraints. In: Arnaldi, B., Hégron, G. (eds) Computer Animation and Simulation ’98. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6375-7_5
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DOI: https://doi.org/10.1007/978-3-7091-6375-7_5
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83257-8
Online ISBN: 978-3-7091-6375-7
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