solidity concept in labeled components

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Sehrish on 14 Aug 2012
Commented: Image Analyst on 7 May 2017
can anyone tell me the solidity concept in simple words?

Image Analyst on 14 Aug 2012
Solidity is area fraction of the region as compared to its convex hull. The convex hull is what you'd get if you wrapped a rubber band around your region. So solidity is what fraction of the actual area your region is. For any convex object it's 1. An asterisk might have a solidity of around 0.5, while a thin "L" shape (or T or E, etc.)would have a very low solidity. The more bays, nooks, and crannies it has, the lower the solidity.

Nurzamal Islam on 7 May 2017
can you please explain the solidity taking any image as an example?
Image Analyst on 7 May 2017
I don't know how to explain it any better than what I already did above. It's the ratio of the actual blob area to the convex hull (rubber band) area. What is not understandable about that?

Sean de Wolski on 14 Aug 2012
Edited: Sean de Wolski on 14 Aug 2012
Solidity: Area / Convex Hull Area
A rectangle will have a solidity of 1 because it is convex and thus its area is the convex area. A pacman will have a solidity of a little more than 0.75 since its area is about 3/4 of the almost circle that is its convex hull.
http://www.pacmangame.net/pacman-chart.gif
Note the convex hull would not include the circle segment between the top and bottom of its mouth