Polynomial Reproduction of Vector Subdivision Schemes

Figure 2

Polynomial reproduction of scheme 𝐒_{𝐡𝑃,0,Φ0} with scheme mask symbol (65); 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.

(a)

(b)