Non-diffusive numerical scheme for regularized mean curvature flow level set equation in image processing

We present new numerical scheme for solving regularised mean curvature flow level set equation and show its behavior in image filtering examples. The scheme is based on finite volume space discretization and semi-implicit time discretization [9], it is unconditionally stable and very weakly diffusive. Such properties are important in image filtering where they guarantee correct reconstruction of shapes deteriorated by high level of noise in stable and computationally efficient way. We compare the filtering capabilities of our new scheme with the standard explicit finite difference approximation of the mean curvature level set equation [15] and show appropriate behavior of the new method.