What is Arithmetic mean filter ?

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?

Answer 1

[Jos (10584)]

The arithmetic mean is the mathematical term for the "mean", i.e., the sum of the elements divided by the number of elements.

http://en.wikipedia.org/wiki/Arithmetic_mean

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:

• http://en.wikipedia.org/wiki/Moving_average
• http://nl.mathworks.com/help/matlab/ref/filter.html

[david]

So it's called moving average filter? thank you.

[Jos (10584)]

That's indeed the common name for it, as is "running mean" or "running average".