Can someone explain how standard deviation is calculated for a multiband image?

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Amir Hossein Souri

Dear Azmi,

There are two separated ways in order to calculate standard deviation which have distinctive purposes. First is texture (window-based), well, I think its too obvious to talk about. The second is the standard deviation of a fixed-pixel in different bands. Well in that case, "Map algerbra" is very convenient in ARCGIS. For an instance, I was willing to determine in which places water vapor changes so drastically.Therefore I prepared a set of 200 images in different date, and by calculating the standard deviation of a pixel over all time, I realized in which places it changes. The results demonstrated in tropical regions water vapor changes dramatically, since it had high standard deviation. Do I have to explain it more?

Samee Azmi

Dear Souri,

I wanted to know what is the equation followed to calculate standard deviation for a multiband image in ArcGIS? i.e. i want to know the algorithm that happens to calculate standard deviation in a multiband image using this procedure of ArcGIS

Toolbox > Spatial Analyst > Focal Statistics > standard deviation

Regards,

Samee

Well, your question was somewhat nebulous. In this case, you just perform some operations for a pixel within a specified neighborhood around it. For an instance, you define a 3X3 kernel (rectangle kernel) and you opt "SUM" operation. The output of this pixel will be the sum of whole values in 8 pixels around and itself. Therefore, when you choose standard deviation, you will calculate the standard deviation of all these values. As I told you before, the standard deviation calculated within a kernel is regraded as a texture in multi-band sensors. There are many applications for this output: 1-cloud masking, 2-classification ,3-population estimation and so on. Please see the attachment too.