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.
Fast Construction and Evaluation of
Interpolatory Periodic Spline Curves
Friedrich Krinzeßa
August 2006
CONTENTS
0 Introduction ... 3
1 Interpolatory periodic cubic B-spline curves in Bernstein Bézier Form ... 4
2 Interpolatory periodic cubic B-spline curves in de Boor Form ... 16
3 Numerical calculation ... 18
4 References ... 22
0. INTRODUCTION
In this publication, an explicit representation of formulas for periodic cubic spline interpolation by curves in IR2 and IR3 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.
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