Physically Based Simulation - University of Southern California

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Euler Integration x(t + Δt) = x(t) + Δt f(x(t)) Source:Andy Witkin, SIGGRAPH Simple, but inaccurate. Unstable with large timesteps. 28
Inaccuracies with explicit Euler Gain energy Source:Andy Witkin, SIGGRAPH “Blow-up” 29
Page 1 and 2: CSCI 480 Computer Graphics Lecture
Page 3 and 4: Physics in Computer Animation • F
Page 5 and 6: Fluids and Rigid Bodies [Carlson, M
Page 7 and 8: Deformations [Barbic and James, SIG
Page 9 and 10: [Bridson, Fedkiw, Anderson, ACM SIG
Page 11 and 12: Sound Simulation (Acoustics) [James
Page 13 and 14: Multibody Dynamics + Self-collision
Page 15 and 16: Haptic Interfaces • hap·tic ('ha
Page 17 and 18: Offline Physics • Special effects
Page 19 and 20: Particle System • Basic physical
Page 21 and 22: Case Study: Mass-spring Systems •
Page 23 and 24: Hook’s law in 3D • Assume A and
Page 25 and 26: A network of springs • Every mass
Page 27: Time Integration Source:Andy Witkin
Page 31 and 32: Many more methods • Runge-Kutta (
Page 33 and 34: Challenges • Complex Formulas •
Page 35 and 36: Bounding volume hierarchies AABBs L
Page 37 and 38: Bounding volume hierarchy v w v w 3
Page 39 and 40: Multithreading implementation Sourc

Physically Based Simulation - University of Southern California

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