How can I implement these equations in Matlab programming?

Hi guys, I got to analyse image that is created by Atomic Force Microscope so contains different height values. But I want to make sure I implement these equations correctly, can somebody please help. Would be much appreciated.

Best regards, Matiss

[Matt J]

It's hard to help unless you show us the code you've written.

[Matiss Ozols]

There is no code I have Written yet. I got to understand how to express these mathematical expressions in the matlab. I have 2 D matrix. MN is the area of the image, I know that. and Z are the image values. but how do I get the integrations and the whole equation.

Answer 1

[Thorsten]

If you have your height values in a 2D matrix Z, use

 sa = mean2(abs(Z));
 sq = sqrt(mean2(Z.^2))
 sz = max(Z(:)) - min(Z(:))

[Matiss Ozols]

hmm, these equation outputs somehow doesnt match the results that have been analysed with a different software. dont I need to divide with MN (area of the image too)? also wouldnt Sa be a mean2 aswell as it is mainly same equations?

[Muthu Annamalai]

@Matiss - you need to divide by area if you want normalized numbers. You can be rest assured these results from code by @Thorsten is only off by a constant scale factor (of area of image in question with additional fixed constants) from this other software you are mentioning.

[Thorsten]

You don't have to divide by MN, this is done by the mean2 function. Can you check results with small images an find out which result is correct?