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Dynamic interaction between deformable surfaces and nonsmooth objects.

Wingo Sai-Keung Wong1, George Baciu

  • 1Department of Computing, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong.

IEEE Transactions on Visualization and Computer Graphics
|May 5, 2005
PubMed
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This study introduces novel computational techniques for simulating sharp object and deformable surface interactions. New methods significantly improve collision detection performance and ensure penetration-free motion, enhancing simulation accuracy.

Area of Science:

  • Computational physics
  • Computer graphics
  • Geometric modeling

Background:

  • Simulating interactions between rigid and deformable objects is computationally intensive.
  • Existing methods struggle with accuracy and performance for sharp object-deformable surface contact.
  • Efficient collision detection is crucial for real-time simulations.

Purpose of the Study:

  • To develop advanced computational techniques for enhancing the performance of sharp object-deformable surface interactions.
  • To introduce a novel formulation for improved collision detection and penetration avoidance.
  • To reduce computational complexity in dynamic simulations.

Main Methods:

  • A time-domain predictor-corrector model is employed.
  • A new type of (pi, beta, I)-surface is defined for surface partitioning.

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  • Collision detection is performed intrinsically in the time domain.
  • A penetration-free motion space is constructed for colliding particles.
  • Static analysis is used to handle friction.

    • Main Results:

    • Significant performance improvements in collision detection through efficient pruning of non-colliding pairs.
    • Avoidance of surface interpenetration within a single time step.
    • Guaranteed penetration-free motion for subsequent steps by constraining particle velocities.
    • Reduced computational complexity by eliminating the need for repulsive force calculations.

    Conclusions:

    • The proposed techniques offer substantial performance gains for simulating sharp object-deformable surface interactions.
    • The novel (pi, beta, I)-surface formulation and time-domain collision detection enhance simulation accuracy and stability.
    • This approach provides an efficient and robust method for complex dynamic simulations.