Geodesic
Subdivision of Linear Corner Cutting Curves
Journal for geometry and graphics, Tome 1 (1997) no. 2, pp. 091-104.

Voir la notice de l'article provenant de la source Heldermann Verlag

The most important properties of Bezier and B-spline curves are the convex hull property, the affine invariance, the possibility to subdivide and the variation diminishing property. Therefore it would be of great interest to have a larger class of point controlled curves with the same properties. It is known that all corner cutting curves have the first two properties. In this paper we deal with the subdivision of corner cutting curves, especially of linear corner cutting curves. For uniformly tangent corner cutting curves (a subclass which contains B-spline curves) we present a simple method for computing the control points of the new curves. 
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     author = {G. Aumann},
     title = {Subdivision of {Linear} {Corner} {Cutting} {Curves}},
     journal = {Journal for geometry and graphics},
     pages = {091--104},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {1997},
     url = {http://geodesic.mathdoc.fr/item/JGG_1997_1_2_a0/}
}
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G. Aumann. Subdivision of Linear Corner Cutting Curves. Journal for geometry and graphics, Tome 1 (1997) no. 2, pp. 091-104. http://geodesic.mathdoc.fr/item/JGG_1997_1_2_a0/