Detecting concavity within regions.

Hello. Does anyone know how to detect and separate two overlapping regions in a black and white image? I'm thinking that using the concavity will help, but really any method that detects and separates the overlaps will work. I've attached an image with arrows pointing at example situations where regions overlap and I want to separate them as well as an original image. Thanks!

Answer 1

[KALYAN ACHARJYA]

The morphological approach might works.

im=im2bw(rgb2gray(imread('test_image_cheng.png')));
se=strel('disk',18);
%................^Change accordingly
result=imerode(im,se);
result=imdilate(result,se);
subplot(121);imshow(im);
subplot(122);imshow(result);