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research-article

Physically Based Models with Rigid and Deformable Components

Authors:

Demetri Terzopoulos,

Andrew WitkinAuthors Info & Claims

IEEE Computer Graphics and Applications, Volume 8, Issue 6

Pages 41 - 51

https://doi.org/10.1109/38.20317

Published: 01 November 1988 Publication History

Abstract

A class of physically based models suitable for animating flexible objects in simulated physical environments was proposed earlier by the authors (1987). The original formulation works as well in practice for models whose shapes are moderately to highly deformable, but it tends to become numerically ill conditioned as the rigidity of the models is increased. An alternative formulation of deformable models is presented in which deformations are decomposed into a reference component, which may represent an arbitrary shape, and a displacement component, allowing deformation away from this reference shape. The application of the deformable models to a physically based computer animation project is illustrated.

References

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1. D. Terzopoulos et al., "Elastically Deformable Models," Computer Graphics (Proc. SIGGRAPH), Vol. 21, No. 4, July 1987, pp. 205-214.

Digital Library

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2. J. Lassiter, "Principles of Traditional Animation Applied to 3D Computer Animation," Computer Graphics (Proc. SIGGRAPH), Vol. 21, No. 4, July 1987, pp. 35-44.

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8. P.M. Issacs and M.F. Cohen, "Controlling Dynamic Simulation with Kinematic Constraints, Behavior Functions, and Inverse Dynamics," Computer Graphics (Proc. SIGGRAPH), Vol. 21, No. 4, July 1987, pp. 215-224.

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17. K. Fleischer et al., "Cooking with Kurt" (a computer-animated video), Schlumberger Palo Alto Research, Palo Alto, Calif., 1987.

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18. D. Terzopoulos, "On Matching Deformable models to Images: Direct and Iterative Solutions," Topical Meeting on Machine Vision, Technical Digest Series, Vol. 12., Optical Soc. America, Washington, DC., 1987, pp. 160-167.

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19. D. Terzopoulos, A. Witkin, and M. Kass, "Symmetry-Seeking Models and 3D Object Reconstruction," Int'l J. Computer Vision, Vol. 1, No. 3, Oct. 1987, pp. 211-221.

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20. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active Contour Models," Int'l J. Computer Vision, Vol. 1, No. 4, Dec. 1987, pp. 321-331.

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22. D. Terzopoulos and K. Fleischer, "Modeling Inelastic Deformation: Viscoelasticity, Plasticity, Fracture," Computer Graphics (Proc. SIGGRAPH), Vol. 22, No. 4, Aug. 1988, pp. 269-278.

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Cited By

Trusty TBenchekroun OGrinspun EKaufman DLevin D(2023)Subspace Mixed Finite Elements for Real-Time Heterogeneous ElastodynamicsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618220(1-10)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618220
Benchekroun OZhang JChaudhuri SGrinspun EZhou YJacobson A(2023)Fast Complementary Dynamics via Skinning EigenmodesACM Transactions on Graphics10.1145/359240442:4(1-21)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592404
Zhao DLi YChaudhuri SLanglois TBarbič J(2022)ERGOBOSS: onomic ptimization of dy-upporting urfacesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2021.311212728:12(4032-4047)Online publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1109/TVCG.2021.3112127
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Physically Based Models with Rigid and Deformable Components
1. Computing methodologies
  1. Computer graphics

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Published In

cover image IEEE Computer Graphics and Applications

IEEE Computer Graphics and Applications Volume 8, Issue 6

November 1988

90 pages

ISSN:0272-1716

Issue’s Table of Contents

Copyright © Copyright © 1988 IEEE. All Rights Reserved.

Publisher

IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 November 1988

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Cited By

Trusty TBenchekroun OGrinspun EKaufman DLevin D(2023)Subspace Mixed Finite Elements for Real-Time Heterogeneous ElastodynamicsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618220(1-10)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618220
Benchekroun OZhang JChaudhuri SGrinspun EZhou YJacobson A(2023)Fast Complementary Dynamics via Skinning EigenmodesACM Transactions on Graphics10.1145/359240442:4(1-21)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592404
Zhao DLi YChaudhuri SLanglois TBarbič J(2022)ERGOBOSS: onomic ptimization of dy-upporting urfacesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2021.311212728:12(4032-4047)Online publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1109/TVCG.2021.3112127
Cui QLanglois TSen PKim T(2021)Spiral-spectral fluid simulationACM Transactions on Graphics10.1145/3478513.348053640:6(1-16)Online publication date: 10-Dec-2021
https://dl.acm.org/doi/10.1145/3478513.3480536
Dahl ABargteil A(2019)Global Momentum Preservation for Position-based DynamicsProceedings of the 12th ACM SIGGRAPH Conference on Motion, Interaction and Games10.1145/3359566.3360078(1-5)Online publication date: 28-Oct-2019
https://dl.acm.org/doi/10.1145/3359566.3360078
Huang JChen JXu WBao H(2019)A survey on fast simulation of elastic objectsFrontiers of Computer Science: Selected Publications from Chinese Universities10.1007/s11704-018-8081-113:3(443-459)Online publication date: 1-Jun-2019
https://dl.acm.org/doi/10.1007/s11704-018-8081-1
Brown GOverby MForootaninia ZNarain R(2018)Accurate dissipative forces in optimization integratorsACM Transactions on Graphics10.1145/3272127.327501137:6(1-14)Online publication date: 4-Dec-2018
https://dl.acm.org/doi/10.1145/3272127.3275011
Lu WJin NFedkiw RSolenthaler BTeschner MKavan LWojtan C(2016)Two-way coupling of fluids to reduced deformable bodiesProceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation10.5555/2982818.2982829(67-76)Online publication date: 11-Jul-2016
https://dl.acm.org/doi/10.5555/2982818.2982829
Pan ZBao HHuang J(2015)Subspace dynamic simulation using rotation-strain coordinatesACM Transactions on Graphics10.1145/2816795.281809034:6(1-12)Online publication date: 2-Nov-2015
https://dl.acm.org/doi/10.1145/2816795.2818090
Malgat RGilles BLevin DNesme MFaure FBarbič JDeng Z(2015)Multifarious hierarchies of mechanical models for artist assigned levels-of-detailProceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation10.1145/2786784.2786800(27-36)Online publication date: 7-Aug-2015
https://dl.acm.org/doi/10.1145/2786784.2786800
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