Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

Physically Based Models with Rigid and Deformable Components

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

[1]
1. D. Terzopoulos et al., "Elastically Deformable Models," Computer Graphics (Proc. SIGGRAPH), Vol. 21, No. 4, July 1987, pp. 205-214.
[2]
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.
[3]
3. W.W. Armstrong and M. Green, "The Dynamics of Articulated Rigid Bodies for Purposes of Animation," The Visual Computer, Vol. 1, No. 4, 1985, pp. 231-240.
[4]
4. J. Wilhelms and B.A. Barsky, "Using Dynamic Analysis to Animate Articulated Bodies Such as Humans and Robots," Proc. Graphics Interface 85, Canadian Information Processing Soc., Toronto, 1985, pp. 97-104.
[5]
5. M. Girard and A.A. Maciejewski, "Computational Modeling for the Computer Animation of Legged Figures," Computer Graphics (Proc. SIGGRAPH), Vol. 19, No. 3, July 1985, pp. 263-270.
[6]
6. C.R. Feynman, Modeling the Appearance of Cloth, master's thesis, MIT, Cambridge, Mass, 1986.
[7]
7. C.M. Hoffmann and J.E. Hopcroft, "Simulation of Physical Systems from Geometric Models," IEEE J. Robotics and Automation, Vol. 3, No. 3, June 1987, pp. 194-206.
[8]
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.
[9]
9. A. Barr et al., Topics in Physically-Based Modeling, SIGGRAPH 87 course notes, Vol. 17, ACM, New York, 1987.
[10]
10. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, Pergamon Press, London, 1959.
[11]
11. H. Goldstein, Classical Mechanics, Addison-Wesley, Reading, Mass, 1980.
[12]
12. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, Interscience, London, 1953.
[13]
13. D. Terzopoulos, "Regularization of Inverse Visual Problems Involving Discontinuities," IEEE Trans. PAMI, Vol. 8, No. 4, July 1986, pp. 413-424.
[14]
14. L. Lapidus and G.F. Pinder, Numerical Solution of Partial Differential Equations in Science and Engineering, John Wiley and Sons, New York, 1982.
[15]
15. O.C. Zienkiewicz, The Finite Element Method, McGraw-Hill, London, 1977.
[16]
16. G. Dahlquist and A. Bjorck, Numerical Methods, Prentice-Hall, Englewood Cliffs, N.J., 1974.
[17]
17. K. Fleischer et al., "Cooking with Kurt" (a computer-animated video), Schlumberger Palo Alto Research, Palo Alto, Calif., 1987.
[18]
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.
[19]
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.
[20]
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.
[21]
21. K. Fleischer and A. Witkin, "A Modeling Testbed," Proc. Graphics Interface 88, Canadian Information Processing Soc., Toronto, 1988, pp. 127-137.
[22]
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.

Cited By

View all
  • (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
  • (2023)Fast Complementary Dynamics via Skinning EigenmodesACM Transactions on Graphics10.1145/359240442:4(1-21)Online publication date: 26-Jul-2023
  • (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
  • Show More Cited By

Index Terms

  1. Physically Based Models with Rigid and Deformable Components
    Index terms have been assigned to the content through auto-classification.

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image IEEE Computer Graphics and Applications
    IEEE Computer Graphics and Applications  Volume 8, Issue 6
    November 1988
    90 pages

    Publisher

    IEEE Computer Society Press

    Washington, DC, United States

    Publication History

    Published: 01 November 1988

    Qualifiers

    • Research-article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 04 Oct 2024

    Other Metrics

    Citations

    Cited By

    View all
    • (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
    • (2023)Fast Complementary Dynamics via Skinning EigenmodesACM Transactions on Graphics10.1145/359240442:4(1-21)Online publication date: 26-Jul-2023
    • (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
    • (2021)Spiral-spectral fluid simulationACM Transactions on Graphics10.1145/3478513.348053640:6(1-16)Online publication date: 10-Dec-2021
    • (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
    • (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
    • (2018)Accurate dissipative forces in optimization integratorsACM Transactions on Graphics10.1145/3272127.327501137:6(1-14)Online publication date: 4-Dec-2018
    • (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
    • (2015)Subspace dynamic simulation using rotation-strain coordinatesACM Transactions on Graphics10.1145/2816795.281809034:6(1-12)Online publication date: 2-Nov-2015
    • (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
    • Show More Cited By

    View Options

    View options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media