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Manifold[s]Makie.jl #575

@kellertuer

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@kellertuer

Today I was reminded by the dependencies Manopt.jl has of a task that I would like to keep track of:

Visualisation of data on manifolds: for single points, signals on manifolds or even manifold-valued images an independent package, that depends on Manifolds.jl should provide nice plotting functions – or exports.

This issue is meant to keep track of this and discuss ideas:

  1. In general I would prefer to move from the current dependency on Plots.jl do Makie – Hence a name of Manifold[s]Makie.jl would be neat – where I am not so sure about the plural and would feel without it looks and sounds nicer.
  2. There is also the asymptote export, which I would like to refactor to somewhere else. If that should be in a package with the first then maybe also ManifoldVisualization.jl would fit do be independent? Not yet so sure, but then the package could even try to be either based on Makie _or Plots, though that would lead to more code to maintain. Otherwise also just a small ManifoldAsymptote.jl would probably be fine.

The first is a bit of work getting into the Makie Recipes and such; the second is mainly extracting the code from here into a new package. Both would be nice to have to reduce dependencies here.

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