In the past 40 years, spline functions (in their simplest form, piecewise polynomials) have become a well-established computational tool, and are now widely used by scientists and engineers. They are used for a variety of purposes, including approximating curves and surfaces, fitting data, computer-aided geometric design (CAGD), computer-aided manufacturing (CAM), solution of differential equations, image processing, etc. The aim of this research is to continue to develop the theory and applications of splines, and to create and test algorithms for solving some specific applications problems, especially problems arising in CAGD, CAM, geology, geophysics, and meteorology.
