Curvature guided level set registration using adaptive finite elements

摘要: We consider the problem of non-rigid, point-to-point registration two 3D surfaces. To avoid restrictions on topology, we represent surfaces as a level-set their signed distance function. Correspondence is established by finding displacement field that minimizes sum squared difference between function values well mean curvature.We use variational formulation problem, which leads to non-linear elliptic partial differential equation for field. The main contribution this paper application an adaptive finite element discretization solving PDE. Our code uses software library DUNE, in combination with pre- and post-processing through ITK powerful tool type problem. This confirmed our experiments various synthetic medical examples. show work numerical scheme yields accurate results using only moderate number elements even complex problems.