Skip to main content

Theory and Modern Applications

Table 2 Eigenvalues of trigonometric (i.e., \(\mu _{\ell +1}=\cos (2\pi /5\times 2^{\ell +1})\)) subdivision matrix with valence n

From: Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces

n

3

4

5

6

7

8

9

10

\(e_{0}\)

1

1

1

1

1

1

1

1

\(e_{1}\)

0.41486

0.49482

0.50986

0.60675

0.61337

0.65171

0.66085

0.67042

\(e_{1}\)

0.41486

0.49482

0.50986

0.60675

0.61337

0.65171

0.66085

0.67042

\(e_{3}\)

0.22561

0.22280

0.21640

0.20820

0.19910

0.18955

0.17977

0.16988