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Generalized Barycentric Coordinates

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Introduction<br />

<strong>Barycentric</strong> <strong>Coordinates</strong> for Planar Polygons<br />

Conclusion<br />

History<br />

Related Work<br />

Generalization of barycentric coordinates<br />

Parameterization of piecewise linear surfaces<br />

▶ shape preserving coordinates [Floater 1997]<br />

▶ discrete harmonic (DH) coordinates [Eck et al. 1995]<br />

▶ mean value (MV) coordinates [Floater 2003]<br />

Other applications<br />

▶ discrete minimal surfaces [Pinkall & Polthier 1993]<br />

▶ computer graphics [Meyer et al. 2002]<br />

▶ mesh deformation [Ju et al. 2005]<br />

Kai Hormann<br />

<strong>Generalized</strong> <strong>Barycentric</strong> <strong>Coordinates</strong>

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