A New 4-Point 𝐶³ Quaternary Approximating Subdivision Scheme

Table 1

Comparison of proposed 4-point scheme with other 4-point schemes.

Scheme	Type	Approximation order	Support	𝐶^𝑛
Binary 4-point [5]	Interpolating	4	6	1
Binary 4-point [6]	Interpolating	4	6	1
Binary 4-point [7]	Approximating	4	7	2
Ternary 4-point [4]	Interpolating	3	5	2
Ternary 4-point [8]	Interpolating	3	5	2
Ternary 4-point [9]	Approximating	4	5.5	2
Proposed scheme	Approximating	5	5	3