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 />
Mean value coordinates<br />
Convex Polygons<br />
Star-Shaped Polygons<br />
Arbitrary Polygons<br />
Properties<br />
▶ well-defined everywhere in<br />
▶ Lagrange property<br />
▶ linear along boundary<br />
▶ linear precision<br />
▶ smoothness at , otherwise<br />
▶ similarity invariance for<br />
for<br />
Application<br />
▶ direct interpolation of data<br />
Kai Hormann<br />
<strong>Generalized</strong> <strong>Barycentric</strong> <strong>Coordinates</strong>
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