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Computer Animation

Lecture #4. Computer Animation. Particle Collision. Oh-young Song Sejong University. During Simulation…. Snapshots. During Simulation…. Snapshots Curved trajectories treated as piecewise linear. During Simulation…. Snapshots Curved trajectories treated as piecewise linear

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Computer Animation

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  1. Lecture #4 Computer Animation Particle Collision Oh-young Song Sejong University

  2. During Simulation… • Snapshots

  3. During Simulation… • Snapshots • Curved trajectories treated as piecewise linear

  4. During Simulation… • Snapshots • Curved trajectories treated as piecewise linear • Constant throughout the frame

  5. During Simulation… • Snapshots • Things can happen in-between snapshots

  6. During Simulation… • Snapshots • Things mostly happen in-between snapshots Collision!

  7. Bouncing off the Wall • Point-plane collisions • Adding it to particle simulator! • Collision Detection • Collision Response • Contact

  8. Collision Detection Signed Distance

  9. Velocity Components • Normal & Tangential

  10. Collision Response

  11. Collision Response Damping factor = 0.8

  12. If penalty method…

  13. Contact • Contact Condition

  14. Contact Force

  15. Do we’ve done it all? • Yes, in case of particles… • But there are many collision algorithms for rigid bodies. • Search Sphere bounding volume, OBB, AABB, k-DOP, GJK, …

  16. Caution! • Tunneling

  17. Caution! • Tunneling

  18. Caution! • Tunneling

  19. Caution! • Tunneling

  20. Caution! • Fast-moving particles tunnel more easily How can we solve this?

  21. Caution! • Fast-moving particles tunnel more easily Restriction Speed/Time?

  22. A Solution • Swept Particle

  23. A Solution • Swept Particle

  24. Next… • Implicit Method

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