Induced Parametrisation and its Applications in Geometric Computation

keywords: Computer graphics, visualization, geometric modeling, rational parametrization, geometric computation, computer-aided design, computer-aided geometric design
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of curves are defined in terms of rational parametrisations of simpler or `primitive' curves. The technique has applications in computer graphics and geometric modeling. A range of examples is given.
reference: Vol. 21, 2002, No. 5, pp. 433–454