A New 5-Point Ternary Interpolating Subdivision Scheme and Its Differentiability

Table 1

Comparison of proposed 5-point ternary scheme with some of existing binary and ternary schemes.

Subdivision scheme	Type	Approximation order	Support	𝐶^𝑛
4-point binary [10]	Interpolating	4	6	1
4-point binary [2]	Interpolating	4	6	1
DD 4-point binary [3]	Interpolating	3	3	1
4-point ternary [9]	Interpolating	3	5	2
4-point ternary [5]	Interpolating	3	5	2
5-point ternary [13]	Interpolating	6	7	1
Proposed 5-point ternary	Interpolating	4	7	2