  Bence-Merriman-Osher algorithm computes numerically mean curvature flow via
solutions of heat equation iteratively initialized at the end of each short
time interval. Inspired by the convergence proof of Evans of this algorithm
where he employed nonlinear semigroup theory and level set approach to mean
curvature flow, we prove here that a similar procedure, but now with a
different definition of evolved surface at the end of each short time interval,
results in a motion by curvature. The interest of this version of the algorithm
is its application corresponding to model of the visual cortex.
