I am trying to minimize the following objective function:

(A-f(B)).^2 + d*TV(B)

A: known 2D image

B: unknown 2D image

f: a non-injective function (e.g. sine function)

d: constant

TV: total variation: sum of the image gradient magnitudes

I am not an expert on these sorts of problems and looking for some hints to start from. Thank you.

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