Animation

(Information Science Guru) Lecture on Computer Graphics by Professor Kenji Igarashi

• Techniques for representing the movement of objects and people
• Mechanics (Physics)
  • Euler Integration
    • Simple dynamic simulation
    • Simulate the next frame’s velocity and position for each time step t (given force F and mass m)
    • Issue: Divergence may occur if t is too large due to errors
  • Implicit Integration
    • Prevent divergence due to errors even with a large t
    • Computational complexity increases
• Deformation of flexible objects
  • Mass-spring Model
    • Simulate according to physical laws by treating it as a spring
    • In some cases, it may become unstable (diverge) due to errors, etc.
  • Shape Matching Method
    • Method of deforming to reach a given shape after deformation
    • Not based on precise physical laws, but visually stable
      • If the goal is “animation” rather than “physical simulation,” this is sufficient.