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Hi! This problem is classical with global-threshold methods (like Otsu). It's a very difficult task, and to my knowledge, there is no general method to handle this case.

During my thesis, I developed an algorithm for binarization which was focused on text but you can try with your images here : demoFAIR.

As your images have a big amount of blur, I suggest you to use a very low value for K (for instance 0.07), or if you can try with images before you blurred them, it will probably have better results. Of course, I would be happy to give you more details if you think this method worth a try!