nmwsharp
Discretization differential forms implementation
Hi,
A while back I came across this paper : Discrete Differential Forms for Computational Modeling The paper led me to study smooth manifolds and some fundamentals of Riemannian Geometry. Although the paper explains how to implement discrete differential forms I still can't quite match it with the theory.
Can you point in the code where is the implementation of the differential forms, hodge dual etc in the code so I can actually dig into it and see how this is done in practice.
I also would like if formalizing the algorithms in such language actually make it easier the implementation or does it simplify maybe the formalization of the algorithm itself?
Don't mind me responding to a very old issue :)
You can find some implementations here https://github.com/nmwsharp/geometry-central/blob/master/src/surface/intrinsic_geometry_interface.cpp#L586
The terminology and definitions in geometry-central often mirror those in this text: http://www.cs.cmu.edu/~kmcrane/Projects/DDG/paper.pdf
