how comparing pixelwise a patch of pixel with distinct intensity on image with Euclidean distance?

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I need to create two pixel patches of size 5×5 with constant intensity values μ=150 for X location and η ∈[0,255] for Y location, and then comparing this pixel patch pixelwise with image by the squared l2-distance(Euclidean distance). Comparison of the pixel patches over the one image should perform 10,000-times for every value of η∈[0,255]to fortify this experiment with sufficient statistics.
Then I need to create a plot of this experiment that shows the average distance of the two pixel patches and the standard deviation.
Any help how can I do it in matlab?
The desired result is like attached file.
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Neda
Neda 2018-1-20
The image is dicom(ultrasound img). In fact, I am following an experiment on the paper attached link on page 5. Maybe my understanding is wrong. The pixel patch on (x,y) location with intensity(150,[0,255]) should scan over the image. paper

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