A SIMPLE METHOD OF 2D AND 3D PROFILE FILTERING USING B-SPLINE APPROXIMATION

摘要

The aim of the analysis was to develop an algorithm for one- and two-dimensional filtering of profiles using approximation by means of B-splines. The theory of B-spline functions introduced by Schoenberg and extended by Unser et al. was used. Unlike the spline filter proposed by Krystek, which is described in the ISO standards, the algorithm does not take account of the bending energy of the filtered profile in the functional whose minimization is the principle of the filter. Appropriate smoothness of a filtered profile is achieved by selecting an appropriate distance between the nodes of a spline function. The paper includes examples of separation of 2D and 3D roughness.