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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

MPI-I-2006-4-010. October 2006, 19 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
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.
Acknowledgement:
References to related material:

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Hide details for BibTeXBibTeX
@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},
}