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