Phase unwrapping fringes

I have one third of an image which contains vertical interference fringes (the fringes are vertical lines with about one pixel width):

I'm looking for software solution, i. e. python or Mathematica code to unwrap the phase to get clear image without fringes, phase contrast image.

I'll try to answer for your detailed questions if any would appear which should help to solve the problem.

Thank you for your help.