Curvature Guided Level Set Registration using Adaptive Finite Elements
Andreas Dedner, Marcel Lüthi, Thomas Albrecht and Thomas Vetter
In: DAGM 2007, Heidelberg, Germany(2007).
We consider the problem of non-rigid, point-to-point registration
of two 3D surfaces. To avoid restrictions on the topology, we
represent the surfaces as a level-set of their signed distance function.
Correspondence is established by finding a displacement field that minimizes
the sum of squared difference between the function values as well
as their mean curvature.We use a variational formulation of the problem,
which leads to a non-linear elliptic partial differential equation for the
displacement field. The main contribution of this paper is the application
of an adaptive finite element discretization for solving this non-linear
PDE. Our code uses the software library DUNE, which in combination
with pre- and post-processing through ITK leads to a powerful tool for
solving this type of problem. This is confirmed by our experiments on
various synthetic and medical examples. We show in this work that our
numerical scheme yields accurate results using only a moderate number
of elements even for complex problems.
|EPrint Type:||Conference or Workshop Item (Poster)|
|Project Keyword:||Project Keyword UNSPECIFIED|
|Deposited By:||Sami Romdani|
|Deposited On:||25 February 2008|