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Abstract:

In this paper we develop an algorithm for the construction of a curvature plot of a (rational) Powell-Sabin (PS) spline surface, where the PS-spline surface is given by its normalized B-spline representation. Second order surface properties are needed to visualize curvature, which are obtained by looking at the Bézier representation of the surface. As an example application, we compare the curvature plots of an initial smooth Uniform PS-spline surface with the curvature plots of the same spline surface after noise has been added and removed with a noise removal algorithm.