Identifying Round Objects MATLAB | Digital Image Processing
VVI:
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Shape Factor – (4 * PI * Area) / (Perimeter^2).
This gives an indication as to the objects shape. Circles have the greatest area to perimeter ratio and this formula will approach a value of 1 for a perfect circle.
Squares are around 0.78 because Area of Square=a^2 , perimeter of Square is=4*a , so (4 * PI * Area) / (Perimeter^2)=(4*pi*a^2)/((4*a)^2)=(4*pi*a^2)/(16*a^2)=pi/4=0.78539816339744830961566084581988
So this parameter (Shape Factor) can be used to differentiate between Circles and Squares.
Code is given in the comment section.
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