creating a weight map from a binary image

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Hi, I would like to create a weight map from a binary image in way to have more intensity values in the border pixels between the close object. To make it more clear I need to calculate w(x) from an input image in the below image following the formula mentioned below. Where w0 and sigma are two constant value, x denotes pixels in the image, d1 denotes the distance to the border of the nearest object and d2 is distance to the border of the second nearest cell.
I need this weight map to implement the loss function in the U-net architecture for image segmentation.
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Amirreza Mahbod
Amirreza Mahbod 2018-7-26
Thanks for your quick reply. Could you please tell me how it would be possible to calculate the distance to nearest object in matlab or python? You can find the paper from here (I am referring to figure 3c and 3d) but unfortunately there is no practical explanation for that.
Guillaume
Guillaume 2018-7-26
The distance to the nearest object is bwdist with the correct metric as per the link in my previous comment.

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