Finite volume schemes for the affine morphological scale space (AMSS) modelL

Abstract

Finite volume (FV) numerical schemes for the approximation
of Affine Morphological Scale Space (AMSS) model are proposed.
For the scheme parameter $\theta, \ 0\leq \theta \leq 1$
the numerical schemes of Crank-Nicolson type were derived.
The explicit ($\theta=0$), semi-implicit, fully-implicit ($\theta =1$) and
Crank-Nicolson ($\theta=0.5$) schemes were studied.
Stability estimates for explicit and implicit schemes were derived.
On several numerical  experiments the properties and comparison
of the numerical schemes  are presented.