A level set formulation for Willmore flow

  • Marc Droske

    University of Duisburg, Germany
  • Martin Rumpf

    University of Duisburg, Germany

Abstract

A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of normal velocities and variations of the level set function in time via the level set equation. The approach in particular allows to identify the natural dependent quantities of the derived variational formulation. Furthermore, spatial and temporal discretization are discussed and some numerical simulations are presented.

Cite this article

Marc Droske, Martin Rumpf, A level set formulation for Willmore flow. Interfaces Free Bound. 6 (2004), no. 3, pp. 361–378

DOI 10.4171/IFB/105