In this thesis we present a method for repairing dirty geometries by constructing and solving a Poisson equation over the domain.To preserve the sharp features at the boundary surface, homogeneous Dirichlet boundary conditions are set onto the surface of the original awed geometry. Additionally, a positive body load on the inside of the geometry and a negative body load on the outside of the geometry are set. The solution of the Poisson problem provides an implicit geometry description in the form of a signed scalar field, whose zero iso-surface forms the reconstructed boundary. This algorithm is capable of accurately reproducing the original geometry, alltough additional research may still improve the results. The method was tested on two different numerical examples in order to evaluate its potential for practical applications.     «

In this thesis we present a method for repairing dirty geometries by constructing and solving a Poisson equation over the domain.To preserve the sharp features at the boundary surface, homogeneous Dirichlet boundary conditions are set onto the surface of the original awed geometry. Additionally, a positive body load on the inside of the geometry and a negative body load on the outside of the geometry are set. The solution of the Poisson problem provides an implicit geometry description in the...     »