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Curved surfaces and coherence for non-penetrating rigid body simulation

Author:

David BaraffAuthors Info & Claims

ACM SIGGRAPH Computer Graphics, Volume 24, Issue 4

Pages 19 - 28

https://doi.org/10.1145/97880.97881

Published: 01 September 1990 Publication History

Abstract

A formulation for the contact forces between curved surfaces in resting (non-colliding) contact is presented. In contrast to previous formulations, constraints on the allowable tangential movement between contacting surfaces are not required. Surfaces are restricted to be twice-differentiable surfaces without boundary. Only finitely many contact points between surfaces are allowed; however, the surfaces need not be convex. The formulation yields the contact forces between curved surfaces and polyhedra as well. Algorithms for performing collision detection during simulation on bodies composed of both polyhedra and strictly convex curved surfaces are also presented. The collision detection algorithms exploit the geometric coherence between successive time steps of the simulation to achieve efficient running times.

References

[1]

Baraff, D., "Analytical methods for dynamic simulation of non-penetrating rigid bodies," Computer Graphics (Proc. SIGGRAPH), vol. 23, pp. 223-232, 1989.

Digital Library

[2]

Baraff, D., "Determining frictional inconsistency for rigid bodies is NP-complete," Technical Report TR 90-1112, Department of Computer Science, Comell University, 1990.

[3]

Barzel, R. and Barr, A.H., "A modeling system based on dynamic constraints," Computer Graphics (Proc. SIG- GRAPH), vol. 22, pp. 179-188, 1988.

Digital Library

[4]

Canny, J., "Collision detection for moving polyhedra," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, no. 2, pp. 200-209, 1986.

Digital Library

[5]

Cundall, P.A., "Formulation of a three-dimensional distinct element model -- Part I. A scheme to represent contacts in a system composed of many polyhedral blocks," international Journal of Rock Mechanics, Mineral Science and Geomechanics, vol. 25, no. 3, pp. 107-I 16, 1988.

[6]

Featherstone, R., Robot Dynamics Algorithms, Kluwer, Boston, 1987.

Digital Library

[7]

Forsythe, G.E., Malcolm, M.A., and Moler, C.B., Computer Methods for Mathematical Computations, Prentice Hall, Inc., Englewood Cliffs, 1977.

Digital Library

[8]

Gilbert, E.G., Johnson, D.W., and Keerthi, S.S., "A fast procedure for computing the distance between complex objects in three space," IEEE Journal of Robotics and Automation, vol. 4, pp. 193-203, 1988.

[9]

Goldstein, H., Classical Mechanics, Addison-Wesley, Reading, 1983.

[10]

Goyal, S., "Second order kinematic constraint between two bodies rolling, twisting and slipping against each other while maintaining point contact," Technical Report TR 89-1043, Department of Computer Science, Cornell University, 1989.

Digital Library

[11]

L6tstedt, P., "Mechanical systems of rigid bodies subject to unilateral constraints," SIAM Journal of Applied Mathematics, vol. 42, no. 2, pp. 281-296, t 982.

[12]

LStstedt, P., "Numerical simulation of time-dependent contact friction problems in rigid body mechanics," SIAM Journal of Scientific Statistical Computing, vol. 5, no. 2, pp. 370-393, 1984.

[13]

Moore, M. and Wilhelms, J., "Collision detection and response for computer animation," Computer Graphics (Proc. SIGGRAPH), vot. 22, pp. 289-298, 1988.

Digital Library

[14]

Murty, K.G., Linear Complementarity, Linear and Nonlinear Programming, Heldermann Verlag, Berlin, 1988.

[15]

Nelmark, Ju.I. and Fufaev, N.A., Dynamics of Nonholonomic Systems, American Mathematical Society, 1972.

[16]

Taylor, A.E. and Mann, R.M., Advanced Calculus, John Wiley & Sons, Inc., New York, 1983.

[17]

Tomlin, J.A., "Robust implementation of Lemke's method for the linear complementarity problem," Technical Report SOL 76-24, Systems Optimization Laboratory, Department of Operations Research, Stanford University, 1976.

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Gottschalk SLin MManocha D(2023)OBBTree: A Hierarchical Structure for Rapid Interference DetectionSeminal Graphics Papers: Pushing the Boundaries, Volume 210.1145/3596711.3596791(757-766)Online publication date: 1-Aug-2023
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Polykretis IPatil AAanjaneya MMichmizos K(2023)An Interactive Framework for Visually Realistic 3D Motion Synthesis using Evolutionarily-trained Spiking Neural NetworksProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/35855096:1(1-19)Online publication date: 16-May-2023
https://dl.acm.org/doi/10.1145/3585509
Fang YZhang SLiu W(2023)Research on neural reinforcement learning-based non-inverse kinematics robotic arm control systemThird International Conference on Advanced Algorithms and Neural Networks (AANN 2023)10.1117/12.3004707(29)Online publication date: 9-Oct-2023
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Index Terms

Curved surfaces and coherence for non-penetrating rigid body simulation
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Image and video acquisition
        3D imaging
  2. Computer graphics
    1. Animation
    2. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

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Information

Published In

cover image ACM SIGGRAPH Computer Graphics

ACM SIGGRAPH Computer Graphics Volume 24, Issue 4

Aug. 1990

377 pages

ISSN:0097-8930

DOI:10.1145/97880

Editor:
Richard J. Beach

Issue’s Table of Contents

SIGGRAPH '90: Proceedings of the 17th annual conference on Computer graphics and interactive techniques
September 1990
452 pages
ISBN:0897913442
DOI:10.1145/97879
Chairman:
Forest Baskett

Copyright © 1990 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1990

Published in SIGGRAPH Volume 24, Issue 4

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Cited By

Gottschalk SLin MManocha D(2023)OBBTree: A Hierarchical Structure for Rapid Interference DetectionSeminal Graphics Papers: Pushing the Boundaries, Volume 210.1145/3596711.3596791(757-766)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1145/3596711.3596791
Polykretis IPatil AAanjaneya MMichmizos K(2023)An Interactive Framework for Visually Realistic 3D Motion Synthesis using Evolutionarily-trained Spiking Neural NetworksProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/35855096:1(1-19)Online publication date: 16-May-2023
https://dl.acm.org/doi/10.1145/3585509
Fang YZhang SLiu W(2023)Research on neural reinforcement learning-based non-inverse kinematics robotic arm control systemThird International Conference on Advanced Algorithms and Neural Networks (AANN 2023)10.1117/12.3004707(29)Online publication date: 9-Oct-2023
https://doi.org/10.1117/12.3004707
Probst TTeschner M(2023)Monolithic Friction and Contact Handling for Rigid Bodies and Fluids Using SPHComputer Graphics Forum10.1111/cgf.1472742:1(155-179)Online publication date: 20-Jan-2023
https://doi.org/10.1111/cgf.14727
Chen PZhao HLi XDing H(2023)Calculation of envelope area between grinding tool and curved surfaceInternational Journal of Mechanical Sciences10.1016/j.ijmecsci.2023.108680(108680)Online publication date: Aug-2023
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Brozos-Vázquez MPereira-Sáez MRodríguez-Raposo ASouto-Salorio MTarrío-Tobar A(2022)Contact detection between a small ellipsoid and another quadricComputer Aided Geometric Design10.1016/j.cagd.2022.10213698(102136)Online publication date: Oct-2022
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Wang BHu YGao JSun YYin B(2018)Partial Sum Minimization of Singular Values Representation on Grassmann ManifoldsACM Transactions on Knowledge Discovery from Data10.1145/309269012:1(1-22)Online publication date: 23-Jan-2018
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Li CDing JHong ZPan YLiu P(2018)A Surface Mass-Spring Model With New Flexion Springs and Collision Detection Algorithms Based on Volume Structure for Real-Time Soft-Tissue Deformation InteractionIEEE Access10.1109/ACCESS.2018.28836796(75572-75597)Online publication date: 2018
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Mozafary VPayvandy P(2017)Definition of Mass Spring Parameters for Knitted Fabric Simulation Using the Imperialist Competitive AlgorithmFibres and Textiles in Eastern Europe10.5604/12303666.122788425(65-74)Online publication date: 28-Feb-2017
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