how to use binary morphological operations for corner detection

How to use binary morphological operations (such as subtract, erosion, dilation, open, close, connected components, etc.) to count the total number of angles in the image. For instance, a triangle has 3 angles, and a rectangle has 4 angles, etc. The image is a binary image.

Answer 1

[Matt J]

I don't think you can, but if the shape is convex, you can use this FEX tool instead,

https://www.mathworks.com/matlabcentral/fileexchange/74181-find-vertices-in-image-of-convex-polygon