smoothing basic shapes and calculating curvature graphs

i want to calculate curvature graphs of some basic shapes like this from image

how can i achive this?

[darova]

Can you please show your attempts or some ideas?

Answer 1

[Abhisek Pradhan]

Refer the following link which has an answer to calculate curvature of a shape.

https://www.mathworks.com/matlabcentral/answers/164349-how-to-calculate-the-curvature-of-a-boundaries-in-binary-images