Discretization differential forms implementation

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
20/100
Issue type
Documentation
Clarity
Needs clarification
Activity status
Stale
Tech stack
cpp
Domain
computer-graphics

Research direction

Start by reading the linked paper and searching the repository for the implementation of discrete differential forms and the Hodge dual. Done would mean identifying the relevant code locations and explaining whether formalizing the algorithms affects their implementation or simplifies their formulation.

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Description

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?

Dominant language
C++
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