Generalized Barycentric Coordinates
Generalized Barycentric Coordinates
Generalized Barycentric Coordinates
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Introduction<br />
<strong>Barycentric</strong> <strong>Coordinates</strong> for Planar Polygons<br />
Conclusion<br />
Convex Polygons<br />
Star-Shaped Polygons<br />
Arbitrary Polygons<br />
Normal form of homogeneous coordinates<br />
Theorem [FHK’06]: All homogeneous coordinates can be written<br />
as<br />
with certain real functions .<br />
Three-point coordinates<br />
▶<br />
with<br />
Theorem [H’07]: Such a generating function<br />
exists for all three-point coordinates.<br />
Kai Hormann<br />
<strong>Generalized</strong> <strong>Barycentric</strong> <strong>Coordinates</strong>
Change language