Why .^2 does not work as expected?

Hi,
I'm doing some math calculations in a code. I noticed something strange in the code below:
a = imread('C:\tqPixels.png'); I = rgb2gray(a);
exp = I.^2
As tqPixels.png is an image with only 4 white pixels (all have 255 value), I thought that exp variable value would be each value powered to itself (255 * 255):
exp = [65025, 65025; 65025, 65025]
However, when I saw exp value in the results, it had the same values variable "I" had:
exp = [255, 255; 255, 255]
Sorry if this is very simple, but why .^2 does not work as it should?
I'm attaching the image and the code here for you to test. I really appreciate any suggestions on this.
a = imread('C:\tqPixels.png');
I = rgb2gray(a);
exp1 = I.^2;

 Risposta accettata

I think you need to convert I to ‘double’ before doing the exponentiation on it. As it is, I believe it is ‘uint8’ type and anything above 255 is set down to just 255. Do this:
exp1 = double(I).^2

4 Commenti

Note how Roger doesn't use exp for the variable name like you did. exp is a built-in function and you should not use it as a variable name.
This saturation behavior is described in the "Largest and Smallest Values for Integer Classes" section on this documentation page.
That's true, Image Analyst (about variable's name). Thank you for pointing that :D
Also thank you Steven for the link. Very useful!!
Roger, it worked! Now it makes sense. Thank you so much!

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