This paper attempts to provide and explain a particle level set
library to help complex simulations. The particle level set method
was to solve the numerical dissipation problem.
The dissipation problem led to using explicit particles to correct
the dissipation of the implicit surface.
Fast first order accurate semi-lagrangian advection method and velocity
field was used for updating the level set.
Particles were introduced within an interior band of the interface
and used to correct volume losses. They were update using the velocity
field using RK2 time integration.
Error corrections using particles radius and position is done on the
interface. Then fast marching method was used to re-initialize the grid.
In the end, particle  re-initialization is done if the distribution
is too uneven and the gains of re-initialization outweigh the errors
that it introduces.