A preprocessing step in an application of microscopy is concerned with the issue of isolat...

A preprocessing step in an application of microscopy is concerned with the issue of isolating individual round particles from similar particles that overlap in groups of two or more particles (see following image). Assuming that all particles are of the same size, propose a morphological algorithm that produces three images consisting respectively of

(a) Only of particles that have merged with the boundary of the image.

---

(b) Only overlapping particles.

---

(c) Only nonoverlapping particles.