Elongatedness

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Elongatedness

In image processing, elongatedness for a region is the ratio between the length and width of the minimum bounding rectangle of the region. It is considered a feature of the region. It can be evaluated as the ratio between the area of the region to its thickness squared:

[math]\displaystyle{ elongatedness = \frac{length}{width} = \frac{area}{(2 d)^2} }[/math].

where the maximum thickness, [math]\displaystyle{ d }[/math], of a holeless region is given by the number of times the region can be eroded before disappearing.[1]

References