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Transcript
Computer Animation Particle Collision Lecture #4 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 Constant throughout the frame During Simulation… ■ ■ Snapshots Things can happen in-between snapshots During Simulation… ■ ■ Snapshots Things mostly happen in-between snapshots Collision! Bouncing off the Wall Point-plane collisions ■ Adding it to particle simulator! ■ Collision Detection ■ Collision Response ■ Contact ■ Collision Detection Signed Distance Velocity Components ■ Normal & Tangential Collision Response Collision Response Damping factor = 0.8 If penalty method… Contact ■ Contact Condition Contact Force 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, … Caution! ■ Tunneling Caution! ■ Tunneling Caution! ■ Tunneling Caution! ■ Tunneling Caution! ■ Fast-moving particles tunnel more easily How can we solve this? Caution! ■ Fast-moving particles tunnel more easily Restriction Speed/Time? A Solution ■ Swept Particle A Solution ■ Swept Particle Next… ■ Implicit Method
