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:

${\displaystyle elongatedness=\frac{length}{width}=\frac{area}{(2d{)}^2}}$.

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

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