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}}}}

, of a holeless region is given by the number of times the region can be eroded before disappearing.