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I know there is a way to map an object with a rectangular area along a path in Inkscape (see Inkscape: Bend a vector along a circular arc)

I would like to do the reverse: draw a path, and maybe give it a radius so that it can map a curved object back to a rectangle, so that I can remix the object into a different shape. I think I would know a gist of the algorithm involved, so I believe with some substantial work I could make my own tool to do it, but I'd rather find out that someone else has done it for me.

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Have you tried making a curve that follows the unbend target, mirroring that curve horizontally, then applying that as a bend operation as in the link?

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