Butterfly Subdivision (1990)
Butterfly subdivision is a method proposed by Dyn, Gregory, and
Levin and is primal and interpolating for triangular meshes. In the
original subdivision scheme, artifacts often appeared on the mesh
after the subdivision interpolation. In 1996, Denis Zorin’s Modified
Butterfly Subdivision scheme improved on the Butterfly method,
solving the problems of the old scheme yet retaining the simplicity
of the original scheme and improving the smoothing.
Figures 3-22 to 3-25 show the subdivision steps for the Butter-
fly scheme using a triangulated cube.
52
Chapter 3 – Polygon Subdivision
Figure 3-22: Unrefined mesh cube with 12 (tri) polygons.
Figure 3-23: First level of subdivision, 48 faces.
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