How to remove shadow from image ?

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I am building a braille dots recognition program. After i acquire image through the camera and convert it into binary, the shadow also becomes significant and hence the result gets affected. Can you suggest me a code to avoid the effect of shadows?? Here is the example image(shadow is on the bottom half part of the image):
Here is the Binary image:
Histogram of the Orignal Image:

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Image Analyst
Image Analyst 2017-3-27
Other methods that would also work are adapthisteq() and imtophat() or imbothat().
You can also use John D'Errico's polyfitn() to fit the background to a 2-D polymonial. See my attached demo.

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