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

Table 6

Error bounds for 3- and 5-point ternary interpolating subdivision schemes.

Scheme	Parameter	𝑘=1	𝑘=2	𝑘=3	𝑘=4	𝑘=5	𝑘=6
	𝑢=1/3	0.033333	0.011111	0.003703	0.001234	0.000411	0.000137
3-point	𝑢=7/18	0.053333	0.023704	0.010535	0.004682	0.002081	0.000925
	𝑢=5/18	0.097222	0.054012	0.030007	0.016670	0.009261	0.005145
	𝑢=−2/41	0.136205	0.058854	0.025431	0.010989	0.004748	0.002052
5-point	𝑢=−7/162	0.169665	0.081691	0.039332	0.018938	0.009118	0.004390
	𝑢=−1/27	0.257698	0.149528	0.086763	0.050344	0.029212	0.016950