A Survey of the Representations of Rational Ruled Surfaces

摘要: The rational ruled surface is a typical modeling in computer aided geometric design. A may have different representations with respective advantages and disadvantages. In this paper, the authors revisit of surfaces including parametric form, algebraic homogenous form Plucker form. Moreover, transformations between these are proposed such as parametrization for an implicitization proper reparametrization improper one standardized general parametrization. Based on transformation algorithms, can give complete interchange graph surface. For given or not standard surfaces, characterization methods recalled to identify from them.