Reconstruction of Shapes Based on Normals Analysis

Most mesh processing filters (including remeshing, simplification, and subdivision) affect vertices of the mesh. Vertices coordinates are modified, new vertices are added and some original ones are removed, with the result that the shape of the original surface is changed. While a great deal of research is concentrated on preservation of surface shape during some mesh processing, there is no general tool that can be used for surface reconstruction at post processing stage. To the best of our knowledge, this paper is the first one to present a restoring algorithm that allows to "repair" output of various mesh processing filters. The proposed scheme is straightforward way to put "off-surface" vertices of the deformed mesh back to the original smooth shape. It does not require any surface parameterization and is based on normal analysis. The procedure is demonstrated by using it as post processing tool after applying local node movement and simplification algorithms. However, the technique is versatile enough to be used in a large variety of mesh optimization algorithms including remeshing and subdivision schemes.