A Greville-like formula for \(\gamma\)-spline functions (Q1119328)

The author gives Greville-like formulas for different kinds of curvature continuous cubic splines, called \(\gamma\)-splines. By using a construction of \textit{W. Boehm} [ibid. 2, 313-323 (1985; Zbl 0645.53002)] he discusses the relations to the question how to obtain the Bézier points of a \(\gamma\)-spline from the de Boor points and conversely. Finally, it is shown that the method can be also applied to rational \(\gamma\)-splines and to rational torsion continuous quartic splines, called \(\gamma\) \(\tau\)-splines.