The Family of Multiparameter Quaternary Subdivision Schemes

Figure 3

Basic limit functions produced by the 4-point scheme corresponding to (14) for different values of parameter . The red lines denote the initial polyline, and the blue, black, and green lines represent the basic limit functions produced with respectively. The circles denote the evaluations of the basic limit function at integers, and the asterisks denote the evaluations of the basic limit function at half integers.