Terzopoulos, Demetri and Platt, John and Barr, Alan and Fleischer, Kurt (1987) Elastically deformable models. ACM SIGGRAPH Computer Graphics, 21 (4). pp. 205-214. ISSN 0097-8930. doi:10.1145/37402.37427. https://resolver.caltech.edu/CaltechAUTHORS:20161221-145615735
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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.
| Item Type: | Article | ||||||||||
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| Additional Information: | © 1987 ACM. The figures in this paper were rendered by Kurt Fleiseher using his modeling testbed system implemented on a LISP Machine. We wish to thank Andy Witkin for valuable discussions and goop. This research was funded, in part, by Schlumberger Palo Alto Research, Hewlett-Packard, Symbolics Inc., and by an AT&T Bell Labs Fellowship (JCP). | ||||||||||
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| Subject Keywords: | Modeling, Deformation, Elasticity, Dynamics, Animation, Simulation | ||||||||||
| Issue or Number: | 4 | ||||||||||
| Classification Code: | G.1.8--Partial Differential Equations; 1.3.5-- Computational Geometry and Object Modeling (Curve, Surface, Solid, and Object Representations); 1.3.7--Three-Dimensional Graphics and Realism | ||||||||||
| DOI: | 10.1145/37402.37427 | ||||||||||
| Record Number: | CaltechAUTHORS:20161221-145615735 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161221-145615735 | ||||||||||
| Official Citation: | Demetri Terzopoulos, John Platt, Alan Barr, and Kurt Fleischer. 1987. Elastically deformable models. SIGGRAPH Comput. Graph. 21, 4 (August 1987), 205-214. DOI=http://dx.doi.org/10.1145/37402.37427 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 73105 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | INVALID USER | ||||||||||
| Deposited On: | 21 Dec 2016 23:27 | ||||||||||
| Last Modified: | 11 Nov 2021 05:11 |
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