Explicit Method to Optimize Surface Mesh Quality

In this paper, we introduce a novel technique to improve surface mesh quality while maintaining all essential surface characteristics. In contrast to previous methods we do not constrain node movement to the underlying discrete surface. Instead our approach allows keeping resultant mesh very close to the surface approximated by the original mesh. Proposed method is explicit, that is we do not need any parameterization of the original mesh. All operations are performed directly on the surface. As a result our technique is robust and runs at interactive speeds. Several quantitative measures and error-metrics are presented to prove the effectiveness of proposed technique and compare it with the previous approaches. Key-Words: Surface mesh quality, surface characteristics, error-metrics