Theory and Modern Applications
Table 4 Eigen-values of of hyperbolic (i.e., \(\mu _{\ell +1}=\cosh (\pi /3\times 2^{\ell +1})\)) 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 |
\(e_{1}\) | 0.44057 | 0.49863 | 0.53192 | 0.55174 | 0.56423 | 0.57254 | 0.57833 | 0.58185 |
\(e_{2}\) | 0.44057 | 0.49863 | 0.53192 | 0.55174 | 0.56423 | 0.57254 | 0.57833 | 0.58185 |
\(e_{3}\) | 0.18659 | 0.17300 | 0.16644 | 0.16125 | 0.15776 | 0.15533 | 0.15358 | 0.15209 |