Coupling of Min/Max Flow to Previous Work

Previous work on partial differential equation/level set schemes for image processing may be easily incorporated into our framework; in short, the curvature flow is replaced by our min/max flow. We point out three couplings in particular:

• Image sharpening algorithms based on shock filters, as in [16,4] may be coupled to our min/max flow.
• The rate of smoothing is sometimes made to vary inversely with the gradient magnitude [19]. If such an effect is desired in our setting, one merely replaces the curvature in our flow by .
• The affine invariant flow [20] can also be modified by using the .

All of the above couplings are completely straightforward, and we do not discuss them in detail here.