Geodesic
Algebraic Approach to a Geometric Characterization of Parametric Cubics
Journal for geometry and graphics, Tome 11 (2007) no. 2, pp. 173-178.

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

We reprove the result of Stone and DeRose, which gives the geometric classification of the affine type of an untrimmed B�zier curve, using classical algebraic geometry. We show how to derive the characterization of Stone and DeRose from three classical results: B�zout theorem, polynomial parametrization criterion and classification of the singularity type of an algebraic curve given in Weierstrass normal form.
Classification : 68U05, 51N35
Mots-clés : Bezier curves, classification of cubics, polynomial cubics, Weierstrass normal form 
@article{JGG_2007_11_2_JGG_2007_11_2_a2,
     author = {P. Koprowski },
     title = {Algebraic {Approach} to a {Geometric} {Characterization} of {Parametric} {Cubics}},
     journal = {Journal for geometry and graphics},
     pages = {173--178},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a2/}
}
TY  - JOUR
AU  - P. Koprowski 
TI  - Algebraic Approach to a Geometric Characterization of Parametric Cubics
JO  - Journal for geometry and graphics
PY  - 2007
SP  - 173
EP  - 178
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a2/
ID  - JGG_2007_11_2_JGG_2007_11_2_a2
ER  - 
%0 Journal Article
%A P. Koprowski 
%T Algebraic Approach to a Geometric Characterization of Parametric Cubics
%J Journal for geometry and graphics
%D 2007
%P 173-178
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a2/
%F JGG_2007_11_2_JGG_2007_11_2_a2
P. Koprowski . Algebraic Approach to a Geometric Characterization of Parametric Cubics. Journal for geometry and graphics, Tome 11 (2007) no. 2, pp. 173-178. http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a2/