Research Article
The Quaternary Interpolating Scheme for Geometric Design
Table 1
Comparison of the 4-point interpolating subdivision schemes.
| Scheme | Type | Continuity | Approximation order | Support |
| Binary [8] | Stationary | | 4 | −3, 3 | Ternary [9] | Stationary | | 3 | −2.5, 2.5 | Proposed (32) | Stationary | | 4 | −2.3, 2.3 |
| Binary [1] | Nonstationary | | 4 | −3, 3 | Binary [2] | Nonstationary | | 4 | −3, 3 | Ternary [3] | Nonstationary | | 3 | −2.5, 2.5 | Ternary [4] | Nonstationary | | 3 | −2.5, 2.5 | Proposed (21) | Nonstationary | | 4 | −2.3, 2.3 |
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