What is the purpose of computing the level set?
The advantage of the level-set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach).
How does level set method work?
Level set method: Explanation
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.