Geodesic
Algebraic Approach to a Geometric Characterization of Parametric Cubics
Journal for geometry and graphics, Tome 11 (2007) no. 2, pp. 173-178 Cet article a éte moissonné depuis la source Heldermann Verlag

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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},
     year = {2007},
     volume = {11},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a2/}
}
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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/