P37

A Summary For the Day

• Position-based dynamics and strain limiting
  • The key is to build a projection function for every constraint.
  • Two approaches for integration: Jacobi and Gauss-Seidel.
  • Fast in low resolutions, but problematic in high resolutions.
  • Not physically correct.
• Projective Dynamics
  • Also uses projection functions, but they are now built into energies.
  • In every iteration, projections are first updated, and then treated as constants in implicit formulation.
  • The matrix in the system becomes constant, can be pre-factorized for fast simulation.
  • Converges fast only in the first few iterations, slow afterwards. CPU friendly.
• Constrained Dynamics
  • Focused on very stiff constraints. Introduces dual variables.
  • Also built upon implicit integration. Two methods: primal-dual, pure dual.
  • Restrictions on the solvers.

本文出自CaterpillarStudyGroup，转载请注明出处。

https://caterpillarstudygroup.github.io/GAMES103_mdbook/