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Related Concept Videos

Elastic Collisions: Case Study01:15

Elastic Collisions: Case Study

Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Operation of the Collaborative Composite Manufacturing (CCM) System
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ICCD: interactive continuous collision detection between deformable models using connectivity-based culling.

Min Tang1, Sean Curtis, Sung-Eui Yoon

  • 1College of Computer Science and Technology, Zhejiang University, Hangzhou, Zhejiang, China. tang_m@zju.edu.cn

IEEE Transactions on Visualization and Computer Graphics
|May 9, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient continuous collision detection algorithm for deformable models. It significantly reduces computational tests, improving performance for simulations like cloth and breaking objects.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Physics Simulation

Background:

  • Continuous collision detection is crucial for realistic simulations of deformable objects.
  • Existing methods often struggle with performance and computational cost.

Purpose of the Study:

  • To develop an interactive algorithm for continuous collision detection.
  • To enhance culling efficiency and overall performance for deformable models.

Main Methods:

  • Novel formulation of continuous normal cones for efficient mesh culling.
  • Introduction of "procedural representative triangles" to eliminate redundant tests.
  • Utilizing "orphan sets" to reduce elementary tests between adjacent primitives.
  • Integration with bounding volume hierarchies.

Main Results:

  • Reduced elementary tests by two orders of magnitude.
  • Achieved one order of magnitude performance improvement over prior methods.
  • Demonstrated effectiveness on cloth, N-body, and breaking object simulations.

Conclusions:

  • The proposed algorithm offers significant performance gains for continuous collision detection.
  • The novel culling techniques are effective in reducing computational complexity.
  • The method is suitable for various complex simulation scenarios.