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Elastically deformable models
Abstract
The theory of elasticity describes deformable materials such as rubber, cloth, paper, and flexible metals. We employ elasticity theory to construct differential equations that model the behavior of non-rigid curves, surfaces, and solids as a function of time. Elastically deformable models are active: they respond in a natural way to applied forces, constraints, ambient media, and impenetrable obstacles. The models are fundamentally dynamic and realistic animation is created by numerically solving their underlying differential equations. Thus, the description of shape and the description of motion are unified.
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Citations
Cited by
Collision Detection and Response for Computer Animation
Moore, M., & Wilhelms, J. (1988) · ACM SIGGRAPH Computer Graphics · doi:10.1145/378456.378528 · Cited by 678
Good vibrations: modal dynamics for graphics and animation
Pentland, A., & Williams, J. (1989) · Proceedings of the 16th annual conference on Computer graphics and interactive techniques · doi:10.1145/74333.74355 · Cited by 389
Efficient reconstruction of nonrigid shape and motion from real-time 3D scanner data
Wand, M., Adams, B., Ovsjanikov, M., Berner, A., Bokeloh, M., Jenke, P., Guibas, L., Seidel, H.-P., & Schilling, A. (2009) · ACM Transactions on Graphics · doi:10.1145/1516522.1516526 · Cited by 136
NNWarp: Neural Network-based Nonlinear Deformation
Luo, R., Shao, T., Wang, H., Xu, W., Chen, X., Zhou, K., & Yang, Y. (2018) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2018.2881451 · Cited by 50
A New Method to Measure Cortical Growth in the Developing Brain
Knutsen, A. K., Chang, Y. V., Grimm, C. M., Phan, L., Taber, L. A., & Bayly, P. V. (2010) · Journal of Biomechanical Engineering · doi:10.1115/1.4002430 · Cited by 20
Metadata
- Authors
- Terzopoulos, D., Platt, J., Barr, A., & Fleischer, K.
- Venue
- Proceedings of the 14th annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1987-08
- Pages
- 205-214
- OpenAlex
- W1989871863
- Cited by
- 1,693
- References
- 0
- FWCI
- 8.05
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Elastically deformable models. https://app.cochat.ai/papers/10.1145/37401.37427
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- Terzopoulos, D., Platt, J., Barr, A., & Fleischer, K. (1987). Elastically deformable models. Proceedings of the 14th annual conference on Computer graphics and interactive techniques. https://doi.org/10.1145/37401.37427
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
