How to remove diagonal line in images

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How to remove diagonal line in images

Josh Doe-2
I have a large set of images that have a diagonal line in the lower
left portion of each image. The images are 16-bit grayscale, and the
line is usually in the same place and the same very low value, however
not exactly (I can't apply a selective interpolation to that one line,
since the line position and pixel value varies somewhat). The pixel
value of the line is several standard deviations away from the rest of
the image.

A simple median filter with radius 2 removes the line almost
perfectly, but gives me a blurred image as a result.

Anyone have any other suggestions? Thanks,
-Josh