Problems with defining barycentric coordinates for the sphere

Brown, J. L.; Worsey, A. J.

Brown, J. L. ; Worsey, A. J.

ESAIM: Modélisation mathématique et analyse numérique, Topics in computer aided geometric design , Tome 26 (1992) no. 1, pp. 37-49

MR Zbl

@article{M2AN_1992__26_1_37_0,
     author = {Brown, J. L. and Worsey, A. J.},
     title = {Problems with defining barycentric coordinates for the sphere},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {37--49},
     year = {1992},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {26},
     number = {1},
     mrnumber = {1154999},
     zbl = {0748.65014},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_1992__26_1_37_0/}
}

TY  - JOUR
AU  - Brown, J. L.
AU  - Worsey, A. J.
TI  - Problems with defining barycentric coordinates for the sphere
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1992
SP  - 37
EP  - 49
VL  - 26
IS  - 1
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - https://www.numdam.org/item/M2AN_1992__26_1_37_0/
LA  - en
ID  - M2AN_1992__26_1_37_0
ER  -

%0 Journal Article
%A Brown, J. L.
%A Worsey, A. J.
%T Problems with defining barycentric coordinates for the sphere
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1992
%P 37-49
%V 26
%N 1
%I AFCET - Gauthier-Villars
%C Paris
%U https://www.numdam.org/item/M2AN_1992__26_1_37_0/
%G en
%F M2AN_1992__26_1_37_0

Brown, J. L.; Worsey, A. J. Problems with defining barycentric coordinates for the sphere. ESAIM: Modélisation mathématique et analyse numérique, Topics in computer aided geometric design , Tome 26 (1992) no. 1, pp. 37-49. https://www.numdam.org/item/M2AN_1992__26_1_37_0/

Bibliographie
Cité par

R. E. Barnhill (1985), Surfaces in computer aided Geometrie design : A survey with new results, Comput. Aided Geom. Design, 2, pp. 1-17. | Zbl | MR

R. E. Barnhill and H. S. Ou (1990), Surfaces defined on surfaces, Comput. Aided Geom. Design, 7, pp. 323-336. | Zbl | MR

M. Berger (1987), Geometry II, Springer-Verlag. | Zbl | MR

W. Boehm, G. Farin and J. Kahmann (1984), A survey of curve and surface methods in CAGD, Comput. Aided Geom. Design 1, pp. 1-60. | Zbl

W. Boehm (1980), Inserting new knots into B-spline curves, Comput. Aided Design 12, 199-201.

G. Farin (1986), Triangular Bernstein-Bézier patches, Comput. Aided Geom.Design 3, 83-128. | MR

G. Farin (1989), Curves and Surfaces for Computer Aided Geometrie Design, Academic Press. | Zbl

T. A. Foley (1990a), Surfaces on surfaces, presentation at the Geometrie design meeting, Ettore Majorana, Erice, Sicily, May 1990.

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. | Zbl | MR

C. L. Lawson (1984), C1 Surface interpolation for scattered data on a sphere, Rocky Mountain J. Math. 14, pp. 177-202. | Zbl | MR

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. | Zbl | MR

G. M. Nielson (1989), Interpolation on the sphere, presentation at the Computer Aided Geometrie Design meeting, Oberwolfach, West Germany, April 1989.

H. Pottmann and M. Eck (1990), Modified multiquadric methods for scattered data interpolation over a sphere, Comput. Aided Geom. Design, 7, pp. 313-322. | Zbl | MR

R. L. Renka (1984), Interpolation of data on the surface of a sphere, ACM Trans. Math. Software, pp. 417-436. | Zbl | MR