1. Notation for PDEs: ut = ∂u/∂t, ux = ∂u/x, uy = ∂u/∂y, ▽u = (ux,uy), div((v,w)) = ▽ (v,w) = vx+Wy.
2. In convex analysis [Roc 70], given a convex function h there uniquely corresponds another convex function h* (s) = Vxs x - h(x), called the Fenchel co
3. For differentiable signals, the maximization or minimization of the intercept f(x) - s . x involved in both slope transforms can also be done, for a fixed s
4. Axiomatization et nouveaux operateurs de la morphologie mathematique;Alvarez;C. R. Acad. Sci. Paris,1992
5. Axioms and fundamental equations of image processing;Alvarez;Archiv. Rat. Mech.,1993