Approximation of viscosity solution by morphological filters
Denis Pasquignon · ESAIM Control Optimisation and Calculus of Variations · 1999
We consider in all curvature equation where G is a nondecreasing function and curv(u) is the curvature of the level line passing by x. These equations are invariant with respect to any contrast change u → g(u), with g nondecreasing. Consider the contrast invariant operator . A Matheron theorem asserts that all contrast invariant operator T can be put in a form . We show the asymptotic equivalence of both formulations. More precisely, we show that all curvature equations can be obtained as the iteration of Matheron operators where h → 0 and n → ∞ with nh=t.