How to get smoothed plot of a grayscale image?

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I am trying to get the smoothed plot of this converted
grayscale image plot. Can anyone provide code how we can get a smoothed
plot.In picture you can see formula for a smooth plot.For example i have plotted
values of a grayscale image as follows
grayImage=imread('capture')
counts = histcounts(grayImage, 0:256)
plot(counts)

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