Physics-Based Animation(Graphics)英文.pdf版

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PHYSICS-BASED ANIMATION CSA2207 Colin Vella

Animated Graphics  Presentations  Entertainment Media  Simulations  Computer Games

Digital Animation Approaches Scripted Animation Interactive Animation  Ideal for predetermined  Ideal for interactive sequences applications  Requires prescription of the  Requires a physical model complete sequence and initial conditions  Can be designed for dramatic  Animation cannot be effect controlled directly  Requires skilled animators for  Realism is a by-product of realistic effects physics modelling  Animator resources / effort must scale in proportion to complexity  Computation resources must scale in proportion to complexity

Interactive Animation Applications Engineering Design Virtual Reality Training Simulators Computer Games

Existing Solutions  Commercial / Closed Source  Havoc Physics™  Nvidia PhysX™  Community Driven / Open Source  Bullet  Open Dynamics Engine™  Farseer

Physics Theory  Classical Mechanics  Rigid Body Dynamics  Soft Body Dynamics  Concepts  Linear and Angular Motion  Forces and Inertia  Collisions, Contact, Friction  Motion Constraints

Physical Models for Animation Analytical Models Numerical Models time Analytical Solution state start time start state Numerical Solution next state next time

Physical Models for Animation Analytical Models Numerical Models  Compute state as a function of time  Computationally efficient  Very accurate (no error accumulation)  Limited to simple predictable configurations with no interaction  Iteratively update state over small timeframes  Polynomial complexity  Numerical errors creep into simulations over time  Can handle interactive configurations of arbitrary complexity  Requires solution for every  Generic approach suitable class of problem to many problems

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