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I want to warp a document image on a deformed mesh as follows:

enter image description here

A semi-correct approach is described here: link

However, i am in particular interested in an invertible mapping, ideally, a one way operation (without having to pad the image, as it would be the case when using cv2.remap).

Example procedure:

Step 1: Obtain deformed mesh (for a given image src)

 xx_deformed = xx + vx
 yy_deformed = yy + vy

where vx and vy describes the deformation (see link above).

Step 2: Map image on mesh:

 warped_img = one_way_operation(src, xx_deformed, yy_deformed)

Step 3: undo deformation:

 xx_inv = xx - vx
 yy_inv = yy - vy

 unwarped_img = one_way_operation(warped_img, xx_inv, yy_inv)

Expected result:

  assert(img == unwarped_img)

Is there an elegant way to achieve this goal? I am grateful for any hint.

papabiceps
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Nikolai
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  • Can you post the code for generating deformed mesh? I maybe able to help you then. –  Sep 20 '19 at 13:42

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