Generalized Barycentric Coordinates
Generalized Barycentric Coordinates
Generalized Barycentric Coordinates
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Introduction<br />
<strong>Barycentric</strong> <strong>Coordinates</strong> for Planar Polygons<br />
Conclusion<br />
Star-shaped polygons<br />
Convex Polygons<br />
Star-Shaped Polygons<br />
Arbitrary Polygons<br />
Theorem [H’07]:<br />
if and only if is<br />
▶ positive<br />
▶ super-linear<br />
Examples<br />
▶ MV coordinates<br />
▶ DH coordinates<br />
Theorem [H’07]:<br />
for some if is<br />
▶ strictly super-linear<br />
Kai Hormann<br />
<strong>Generalized</strong> <strong>Barycentric</strong> <strong>Coordinates</strong>
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