Geodesic
Basis of Quartic Splines over Triangulation
Journal for geometry and graphics, Tome 3 (1999) no. 2, pp. 161-176 
J. Pilnikova; P. Chalmoviansky. Basis of Quartic Splines over Triangulation. Journal for geometry and graphics, Tome 3 (1999) no. 2, pp. 161-176. http://geodesic.mathdoc.fr/item/JGG_1999_3_2_a2/
@article{JGG_1999_3_2_a2,
     author = {J. Pilnikova and P. Chalmoviansky},
     title = {Basis of {Quartic} {Splines} over {Triangulation}},
     journal = {Journal for geometry and graphics},
     pages = {161--176},
     year = {1999},
     volume = {3},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_1999_3_2_a2/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

The modeling of complex shapes usually requires a well-based space of splines. The aim of this work is to give the construction method of such spline space basis over the chosen class of triangulations. This basis has several useful properties - local minimal support, low degree of polynomials. We also present several problems, that arise in lower-degree polynomials.