Details:
Title  Local parametrization of cubic surfaces  Author(s)  Bert Jüttler, Josef Schicho, Ibolya Szilágyi  Type  Article in Journal  Abstract  Algebraic surfaces–which are frequently used in geometric modelling–are represented either in implicit or parametric form. Several techniques for parametrizing a rational algebraic surface as a whole exist. However, in many applications, it suffices to parametrize a small portion of the surface. This motivates the analysis of local parametrizations, i.e., parametrizations of a small neighborhood of a given point P of the surface S . In this paper we introduce several techniques for generating such parametrizations for nonsingular cubic surfaces. For this class of surfaces, it is shown that the local parametrization problem can be solved for all points, and any such surface can be covered completely.  Keywords  Parametrization, Cubics, Algorithm, Surfaces  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717105001239 
Language  English  Journal  Journal of Symbolic Computation  Volume  41  Number  1  Pages  30  48  Year  2006  Edition  0  Translation 
No  Refereed 
No 
