MPI-I-2006-4-010
Mean value coordinates for arbitrary spherical polygons and
polyhedra in $\mathbbR^3$
Belyaev, Alexander and Langer, Torsten and Seidel, Hans-Peter
October 2006, 19 pages.
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Status: available - back from printing
Since their introduction, mean value coordinates enjoy ever increasing
popularity in computer graphics and computational mathematics
because they exhibit a variety of good properties. Most importantly,
they are defined in the whole plane which allows interpolation and
extrapolation without restrictions. Recently, mean value coordinates
were generalized to spheres and to $\mathbb{R}^{3}$. We show that these
spherical and 3D mean value coordinates are well-defined on the whole
sphere and the whole space $\mathbb{R}^{3}$, respectively.
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- Attachement: MPI-I-2006-4-010.pdf (205 KBytes)
URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2006-4-010
BibTeX
@TECHREPORT{BelyaevLangerSeidel2006,
AUTHOR = {Belyaev, Alexander and Langer, Torsten and Seidel, Hans-Peter},
TITLE = {Mean value coordinates for arbitrary spherical polygons and
polyhedra in $\mathbb{R}^{3}$},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
NUMBER = {MPI-I-2006-4-010},
MONTH = {October},
YEAR = {2006},
ISSN = {0946-011X},
}