Details:
Title  Implicitization of rational ruled surfaces with bases  Author(s)  Marc Dohm  Type  Article in Journal  Abstract  Chen, Sederberg, and Zheng introduced the notion of a μ basis for a rational ruled surface in Chen et al. [Chen, F., Zheng, J., Sederberg, T. W., 2001. The mubasis of a rational ruled surface. Comput. Aided Geom. Design 18 (1), 61–72] and showed that its resultant is the implicit equation of the surface, if the parametrization is generically injective. We generalize this result to the case of an arbitrary parametrization of a rational ruled surface. We also give a new proof for the corresponding theorem in the curve case and treat the reparametrization problem for curves and ruled surfaces. In particular, we propose a partial solution to the problem of computing a proper reparametrization for a rational ruled surface.  Keywords  Implicitization, μ basis, Ruled surface, Reparametrization  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717108001399 
Language  English  Journal  Journal of Symbolic Computation  Volume  44  Number  5  Pages  479  489  Year  2009  Note  Spanish National Conference on Computer Algebra  Edition  0  Translation 
No  Refereed 
No 
