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Re: Reverse function numerically

From: Juan Pablo Carbajal
Subject: Re: Reverse function numerically
Date: Wed, 31 Jan 2018 17:25:47 +0100

The modeling function is what you want to find.

If f(x1,x2) is continuously differentiable (as your example) then
split the domain where det(J f) == 0 and obtain local inverses using
root finding (this exploits the existence of the inverse function
based on the implicit function theorem).

For each domain, make a unstructured triangular mesh and use 2D
polynomial interpolation. However since your inverse looks like a
rational function, maybe splines are a better option.

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