Details:
Title  Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces  Author(s)  Laureano GonzalezVega, Bert Jüttler, Abraham Martín, Josef Schicho  Type  Article in Journal  Abstract  We discuss rational parameterizations of surfaces whose support functions are rational functions of the coordinates specifying the normal vector and of a given nondegenerate quadratic form. The class of these surfaces is closed under offsetting. It comprises surfaces with rational support functions and nondevelopable quadric surfaces, and it is a subset of the class of rational surfaces with rational offset surfaces. We show that a particular parameterization algorithm for del Pezzo surfaces can be used to construct rational parameterizations of these surfaces. If the quadratic form is diagonalized and has rational coefficients, then the resulting parameterizations are almost always described by rational functions with rational coefficients.  Keywords  Parameterization of surfaces, Support function, Offset surface, del Pezzo surface  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717108001053 
Language  English  Journal  Journal of Symbolic Computation  Volume  44  Number  2  Pages  180  191  Year  2009  Edition  0  Translation 
No  Refereed 
No 
