Problems with defining barycentric coordinates for the sphere

J. L. Brown; A. J. Worsey

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 1, page 37-49
  • ISSN: 0764-583X

How to cite

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Brown, J. L., and Worsey, A. J.. "Problems with defining barycentric coordinates for the sphere." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.1 (1992): 37-49. <http://eudml.org/doc/193658>.

@article{Brown1992,
author = {Brown, J. L., Worsey, A. J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {triangular Bézier patches; barycentric coordinate systems on the sphere; area preserving maps; geodesic triangles; triangulation},
language = {eng},
number = {1},
pages = {37-49},
publisher = {Dunod},
title = {Problems with defining barycentric coordinates for the sphere},
url = {http://eudml.org/doc/193658},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Brown, J. L.
AU - Worsey, A. J.
TI - Problems with defining barycentric coordinates for the sphere
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 1
SP - 37
EP - 49
LA - eng
KW - triangular Bézier patches; barycentric coordinate systems on the sphere; area preserving maps; geodesic triangles; triangulation
UR - http://eudml.org/doc/193658
ER -

References

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  7. G. FARIN (1989), Curves and Surfaces for Computer Aided Geometrie Design, Academic Press. Zbl0694.68004
  8. T. A. FOLEY (1990a), Surfaces on surfaces, presentation at the Geometrie design meeting, Ettore Majorana, Erice, Sicily, May 1990. 
  9. T. A. FOLEY (1990b), Interpolation to scattered data on a spherical domain, in : M. Cox and J. Mason, eds., Algorithms for Approximation II, Chapman & Hall, London, pp. 303-310. Zbl0749.41003MR1071988
  10. C. L. LAWSON (1984), C1 Surface interpolation for scattered data on a sphere, Rocky Mountain J. Math. 14, pp. 177-202. Zbl0579.65008MR736173
  11. G. M. NIELSON and R. RAMARAJ (1987), Interpolation over a sphere based upon a minimum norm network, Comput. Aided Geom. Design, 4, pp. 41-57. Zbl0632.65010MR898022
  12. G. M. NIELSON (1989), Interpolation on the sphere, presentation at the Computer Aided Geometrie Design meeting, Oberwolfach, West Germany, April 1989. 
  13. H. POTTMANN and M. ECK (1990), Modified multiquadric methods for scattered data interpolation over a sphere, Comput. Aided Geom. Design, 7, pp. 313-322. Zbl0714.65010MR1074617
  14. R. L. RENKA (1984), Interpolation of data on the surface of a sphere, ACM Trans. Math. Software, pp. 417-436. Zbl0548.65001MR792004

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