Polynomial Reproduction of Vector Subdivision Schemes

Figure 3

Polynomial reproduction of scheme 𝐒_{𝐡𝑃,0,Φ0} with scheme mask symbol (68); solid line denotes the true polynomial and asterisk point denotes the discrete data using 5 times iteration of subdivision operator; (a) 𝑝(𝑡)=𝑡; (b) 𝑝(𝑡)=𝑡²; (c) 𝑝(𝑡)=𝑡³; (d) 𝑝(𝑡)=𝑡⁴.

(a)

(b)

(c)

(d)