Title :
How many rational parametric cubic curves are there? I. Inflection points
Abstract :
In his never-ending quest to build intuition about the relationship between algebra and geometry, the author turns his attention to cubic curves. The basic question is this: what sorts of shapes can a given symbolic expression generate? The ultimate goal is to transform an arbitrary parametric cubic curve both geometrically and parametrically to match one of a set of canonical simple algebraic forms
Keywords :
computational geometry; curve fitting; algebra; geometry; inflection points; rational parametric cubic curves; shapes; symbolic expression; Differential equations; Polynomials;
Journal_Title :
Computer Graphics and Applications, IEEE
