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IPC Implementation / Performance Improvements #14

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IPC Implementation / Performance Improvements #14

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nithinp7
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Implements ideas from the paper "Penetration-free Projective Dynamics on the GPU", Lei Lan et al.

  • Adaptive timestep strategy to guarantee penetration-free simulation.
  • Modified collision constraint - restitution-based formulation that emulates barrier forces in a position-based context.
  • Implement specialized cubic polynomial root-solver described in paper
  • Implement A-Jacobi solver described in paper to replace (relatively) slow direct PD solver (Cholesky factorization + backsubstitution)

Implements crucial performance improvements

  • Parallelizes sections of the solver using OpenMP - hides latency cost of refactorizing system matrix to include collision constraints.
  • CUDA implementation of tetrahedral strain / volume constraint projection.
  • CUDA implementation of CCD, especially the modified Newton method used for the cubic polynomial root-finding?
  • More...?

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