What is Arithmetic mean filter ?
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Hello. in the book "Image processing ,Gonzalez,chapter 5" i found arithmetic mean filter for noise deduction,but on internet and MATLAB i didn't find anything about it,not even a code. so what is it and what can i do for implement it?
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Jos (10584)
on 28 Mar 2015
The arithmetic mean is the mathematical term for the "mean", i.e., the sum of the elements divided by the number of elements.
You can use this as a simple filtering technique by replacing the value X(k) in a series by the mean of the values [X(k-w) X(k-w+1) ... X(k+w-1) X(k+w)], where w is the window size of the filter. By moving over the elements of X, one by one, you have a so-called moving average filter . It is a common way to deal with noisy data. More information can be found here:
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Jos (10584)
on 29 Mar 2015
That's indeed the common name for it, as is "running mean" or "running average".
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