The intended main application of DMT is in the rapid semiautomatic segmentation objects such as organs and anatomic structures from stacks of medical images such as produced by three-dimensional computed tomography by CT or MRI technology.
We now start a count of the number of island objects as we very slowly drain the tank.
We see a degenerate point island contour, with zero area, zero perimeter, and infinite curvature.
A vanishing small change in the water level and this point contour expand into a tiny island.
The essential feature of this rubric is that we only need to count the peaks and passes to inventory all of the islands in our sea, or objects in our scene.
The relationship between island features can be Digital Morse theory relates Peaks, Pits and Passes to Parents, Peers and Progeny.