Finite difference error analysis of geometry properties of implicit surfaces

In this paper we investigate the impact of different finite difference method (FDM) on estimation of the curvatures and other geometry properties of an implicit surface extracted from volumetric data. The FDM estimation case studies of the geometrical features are conducted on the surface in different resolutions which are refined surface, medium surface and coarse surface. A ground truth is established on each resolution to be compared with the experiment results. Then we apply relative error analysis on the results to find the influences of FDM that can be utilized in the estimation.