Dynamic Contour Modeling of Wet Material Objects Using Periodic Smoothing Spline Surfaces

This paper presents a scheme for modeling the dynamic contour of wet material objects using optimal periodic surfaces. The surfaces are constructed by employing normalized uniform B-splines as the basis functions. A concise representation for the optimal surfaces is derived, which has the additional merit of lending itself to the development of computational procedures in a straightforward manner. Also, the asymptotical and statistical properties of optimal surfaces are shown. The results are applied to the problem of modeling contour of wet material objects with deforming motion, and the effectiveness is examined by numerical and experimental studies