Image correction based on the mesh of projection surface

I need to predistort an image that will be projected on an uneven surface. The surface is deformed (almost wavy). I have an image of a 2D mesh of this surface (Attached are two sample images, one in grayscale, one binary). Based on this image, I need to correct the mesh and rearrange it into perfect squares and then apply this transformation to any other image.

Any tips or guidlines on how to do that are appreciated. This approach might be wrong but it is the only way I can think of, given that I only have an image of the mesh to start with. I am open to other ideas though. Cheers.

[Mohamad Ahmad]

@Image Analyst I would appreciate your help, sir.

Answer 1

[Benjamin Thompson]

The image processing toolbox has only more basic geometric transformations, and computer vision has some camera calibration tools but they do not seem to match your application. You could try this submission on the File Exchange:

https://www.mathworks.com/matlabcentral/fileexchange/45142-mesh-based-image-warping?s_tid=srchtitle_MESH_10