Family of -Ary Univariate Subdivision Schemes Generated by Laurent Polynomial

Table 1

Here we present arity, complexity, and mask of the schemes corresponding to different values of ; here shows complexity of the schemes (i.e., 2-, 3--point schemes), while , , and stand for arity and mask of the schemes, respectively.

			Mask
0	2	3
1	2	3
2	2	4
3	2	4
4	2	5
0	3	3
1	3	4
2	3	5
3	3	5
4	3	6
0	4	4
1	4	4
2	4	5
3	4	6
4	4	6
0	5	4
1	5	5
2	5	5
3	5	6
4	5	7