How can I get the Euler number of a binary matrix ?

Hi , i`ve never programmed in matlab before and I want to calculate the Euler Number of a binary matrix such as

0001000

0001000

0001000

0001000

I hope that my question is clear.

Thank You.

Answer 1

[Image Analyst]

Try this (if you have the Image Processing Toolbox):

measurements = regionprops(binaryMatrix, 'EulerNumber');
EulerNumbers = [measurements.EulerNumber];