We present a mesh filtering method for surfaces extracted from binary volume data which guarantees a smooth
and correct representation of the original binary sampled surface, even if the original volume data is inaccessible
or unknown. This method reduces the typical block and staircase artifacts but adheres to the underlying binary
volume data yielding an accurate and smooth representation. The proposed method is closest to the technique of
Constrained Elastic Surface Nets (CESN). CESN is a specialized surface extraction method with a subsequent
iterative smoothing process, which uses the binary input data as a set of constraints. In contrast to CESN, our
method processes surface meshes extracted by means of Marching Cubes and does not require the binary volume.
It acts directly and solely on the surface mesh and is thus feasible even for surface meshes of inaccessible
or unknown volume data. This is possible by reconstructing information concerning the binary volume from
artifacts in the extracted mesh and applying a relaxation method constrained to the reconstructed information