A New 4-Point 𝐶³ Quaternary Approximating Subdivision Scheme

Figure 1

(a) Graph against Höder exponent and parameter 0<𝜔<1.5 for a 4-point quaternary scheme. (b) The dotted lines are control polygon; whereas the bold and thin solid lines are produced by setting 𝜔=0.02,0.75, respectively.

(a)

(b)