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Subdivision Surfaces

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√3-<strong>Subdivision</strong> of Kobbelt: 6/8<br />

Important Results<br />

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<br />

The √3-subdivision converges!<br />

The limit surface is C 2 everywhere except for<br />

extraordinary ypoints.<br />

It is only C 1 at extraordinary points (i.e.,<br />

vertices with valance ≠ 6).<br />

The √3-subdivision can be extended to an<br />

adaptive scheme for finer subdivision control.<br />

46

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