This review concerns the computation of curvature-dependent interface motion governed by
geometric partial differential equations. The canonical problem of mean curvature flow is that …

Parametric finite elements lead to very efficient numerical methods for surface evolution
equations. We introduce several computational techniques for curvature driven evolution …

In image processing," motions by curvature" provide an efficient way to smooth curves
representing the boundaries of objects. In such a motion, each point of the curve moves, at …

We present a finite element approximation of motion by minus the Laplacian of curvature
and related flows. The proposed scheme covers both the closed curve case, and the case of …

We present a variational formulation of motion by minus the Laplacian of curvature and
mean curvature flow, as well as related second and fourth order flows of a closed …

In this article we discuss novel numerical schemes for the computation of the curve
shortening and mean curvature flows that are based on special reparametrizations. The …

We present a variational formulation of combined motion by minus the Laplacian of
curvature and mean curvature flow, as well as related flows. The proposed scheme covers …

A new method for solution of the evolution of plane curves satisfying the geometric equation
v= β (x, k, ν), where v is the normal velocity, k and ν are the curvature and tangential angle of …

These lecture notes are dedicated to the mathematical modelling, analysis and computation
of interfaces and free boundary problems appearing in geometry and in various …

Over the last two decades, the field of geometric curve evolutions has attracted significant
attention from scientific computing. One of the most popular numerical methods for solving …