(2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes

Table 3

The order of continuity of proposed 3-, 5-, and 7-point ternary approximating schemes for certain ranges of parameter.

Scheme	Parameter	Continuity
	1/6<𝑢<2/3	𝐶^0
3-point	2/9<𝑢<5/9	𝐶^1
	1/3<𝑢<4/9	𝐶^2
5-point	−11/81<𝑢<−7/648	𝐶^0
	−103/972<𝑢<−11/486	𝐶^1
	−2/27<𝑢<−49/972	𝐶^2
	−1/18<𝑢<−38/729	𝐶^3
7-point	7/23328<𝑢<23/729	𝐶^0
	157/52488<𝑢<2501/104976	𝐶^1
	1043/104976<𝑢<67/4374	𝐶^2
	53/8748<𝑢<187/17496	𝐶^3