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:

Elongatedness

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

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]

References

1. "Shape representation and description: Region-based shape representation and description". Archived from the original on 2011-08-17. Retrieved 2006-12-26.