Theory and Modern Applications
Table 5 Eigenvalues of of hyperbolic (i.e., \(\mu _{\ell +1}=\cosh (2\pi /5\times 2^{\ell +1})\)) 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 |
\(e_{1}\) | 0.43198 | 0.46520 | 0.49856 | 0.52515 | 0.54257 | 0.55628 | 0.56815 | 0.57907 |
\(e_{2}\) | 0.44057 | 0.49863 | 0.53192 | 0.55174 | 0.56423 | 0.57254 | 0.57833 | 0.58185 |
\(e_{3}\) | 0.21359 | 0.208900 | 0.19344 | 0.18342 | 0.17776 | 0.16533 | 0.15328 | 0.15009 |