Herve Lombaert Level set method: Explanation  Level set method:
Explanation  Here the basics of the level set method is
explained, this is not an advanced tutorial. For quite some
time, I was afraid of the level set method. I am still not sure
why I first got scared. The level set method is just plain easy
to understand: there is a surface, it intersects a plane, that
gives us a contour and that's it. With image segmentation, the
surface is updated with forces derived from the image. In this
document, I follow this path: what is the problem, what was done
to solve it and where the limitation was, and then the miracle
solution with some pretty pictures.  Tracking interfaces  First,
let us imagine water falling from the top of a hill. The goal is
to track the water front while it's moving down the hill. The
figure below shows a map of a V-shaped water fall with water
motion shown in red.  Figure: Elevation map of a V-shaped water
fall, black is on top, white is down the fall. Arrows show the
Water motion. Image