[Python] How can I compute a continuous conformal map from an arbitrary domain (not just its...

I'm looking for a Python solution to compute a conformal map that transforms an entire 2D domain (given as a shape; convex or not or binary mask) onto the unit disk or another reference shape. It would be nice also if the method is also applicable to ND (3D-4D). The mapping should be continuous over the whole domain—not just on the boundary—so that every point in the domain is mapped in a conformal (angle-preserving) way such as1.

Is there an established Python library or package that can compute such a mapping for arbitrary domains? If not, what is the recommended approach or algorithm (e.g., PDE-based, iterative techniques, etc.) to implement such a conformal mapping in Python?

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