Fast construction and evaluation of interpolatory periodic spline curves

Research Paper (postgraduate) from the year 2006 in the subject Mathematics - Applied Mathematics language: English abstract: In this publication an explicit representation of formulas for periodic cubic spline interpolation by curves in and is given for the classical case where data points and nodal points coincide. The solution is formed using Bézier points and basic splines. Furthermore interpolation with equidistant parameters is discussed. Of course the achieved results can be used for numerical calculation.