Theory and Modern Applications
Table 3 Eigenvalues of polynomial (i.e., \(\mu _{\ell +1}=1\)) 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 |
\(e_{1}\) | 0.42633 | 0.50000 | 0.53794 | 0.55968 | 0.57322 | 0.58213 | 0.58834 | 0.59123 |
\(e_{2}\) | 0.42633 | 0.50000 | 0.53794 | 0.55968 | 0.57322 | 0.58213 | 0.58834 | 0.59123 |
\(e_{3}\) | 0.25000 | 0.25000 | 0.42633 | 0.42633 | 0.46972 | 0.50000 | 0.52180 | 0.53894 |