curice

There's a great paper from Ryan Schmidt called "Interactive decal compositing with discrete exponential maps" which tackles this exact problem as well. A more modern variant can be found in the "Vector Heat Method" by the authors of geometry-central, Nicholas Sharp and Keenan Crane, which can compute very accurate "log maps".

It's really cool to see this running interactively in the web!! Super slick stuff :)

Not to be pedantic, but one of the author's own examples involves pi inverse, so I think discussing FP numbers is valid.