Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme

Figure 3

Visualization of characteristic maps: (a)–(d) control nets from the eigenvectors of 𝐌^(𝑘) with valences 𝑛=3,5,8,19, and 𝑓(𝑘)=1−1/2^2𝑘−1; (e)–(h) control nets with valences 𝑛=3,5,8,19, and 𝑓(𝑘)=cos(𝜋/(2^𝑘𝑛)); (i)–(p) local regions around the irregular vertex of the characteristic maps after four subdivision steps.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(l)

(m)

(n)

(o)

(p)