The Switch Function in More Depth: Min/Max Flow and the Role of Masks in Level Sets Flow

The above min/max flow switch is, in fact, remarkably subtle in what it does. It works because of three reasons:

• First, the embedding of a front as a level set allows us to use information about neighboring level sets to determine whether to use the min flow or the max flow
• Second, the level set method allows the construction of barrier masks to thwart motion of the level sets
• Third, the discretization of the problem onto a grid allows one to select a natural scale to the problem

In this section, we examine our choice of a min/max switch in more detail, and show why scales below a given range are removed.

• Min/Max Flow on Zero Order Structures
• Min/Max Flow on First Order Structures
• Min/Max Flow on kth Order Structures