Parameterization for Remeshing Over Dynamically Changing Domains

We present a method for incrementally maintaining a global, bijective mapping between an arbitrary triangular input mesh and a dynamically changing domain mesh by use of a meta-mesh. The domain mesh is derived from the input mesh through an arbitrary sequence of local mesh connectivity operations. The mapping can be maintained independent of the choice of metrics for driving the simplification process to derive the domain mesh. In addition, due to the dynamic nature of the mapping, user post-processing can be applied to adjust the final domains