Questions and postings pertaining to the usage of ImageMagick regardless of the interface. This includes the command-line utilities, as well as the C and C++ APIs. Usage questions are like "How do I use ImageMagick to create drop shadows?".
I think that use Convexity Defects and convex hull for detecting lowest point and extreme point could be a solution I dont know if this its possible using imagemagick
I do not think convex hull helps get the skeleton of the letter. Perhaps you want the convex hull for you other post. Likewise, I think you want to use the skeleton solution from your link in the current post.
Skeletonising an image is easy. Dividing a skeleton into line segments, junctions and loops is easy. Finding the direction of a line is fairly easy. For those operations, see http://www.imagemagick.org/Usage/morphology/
The OP contains a graphic with text I can't read. Do you have other questions?
not really the unique problem in this Could be to detect the convexity defect since you would probably have to detect the skeleton and using connected components detect sub-skeletons for the image would be somewhat complicated