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How to determine and compensate for light falloff during stitching

I am stitching slices of unrolled fish-eye images of sewer pipes and I find annoying illumination falloff. The falloff looks linear from left to right, and is more noticeable in certain sets then other . I provide 2 subsets, one where the shadow is visible and one where it can be ignored. Although I know the pipe diameter in all cases, I don't know the pipe material, so I cannot calculate the needed light compensation from them. I welcome any suggestions to illumination problem using just the images, and preferably without knowing all images in advance. I picked images with some features to be obvious that these pipes have particularities here and there.


subset 1 (33% of width is overlapping area for blending):

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subset 1 results (visible recurrent light falloff):

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subset 2 (33% of width is overlapping area for blending)

image description image description image description image description image description


subset 2 results (no visible light falloff):

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