Theory and Modern Applications
Table 1 Eigenvalues of trigonometric (i.e., \(\mu _{\ell +1}=\cos (\pi /3\times 2^{\ell +1})\)) 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 |
\(e_{1}\) | 0.40973 | 0.49482 | 0.56859 | 0.60675 | 0.62912 | 0.64342 | 0.65314 | 0.66005 |
\(e_{2}\) | 0.40973 | 0.49482 | 0.56859 | 0.60675 | 0.62912 | 0.64342 | 0.65314 | 0.66005 |
\(e_{3}\) | 0.22122 | 0.20877 | 0.20688 | 0.19447 | 0.18626 | 0.18062 | 0.17660 | 0.17364 |