5 Parametric Curves and Surfaces 15.1 Parametric Curves 15.2 Bézier Curves

15 Parametric Curves And Surfaces 15.1 Parametric Curves Designing Curves • We don’t want only polygons. • Curves are used for design. Users require a simple set of controls to allow them to edit and design curves easily. • Curves should have infinite resolution, so we can zoom in and still see a smooth curve. • We want to have a compact representation. Parametric functions are of the form x(t) = f(t) and y(t) = g(t) in two dimensions. This can be extended for arbitrary dimensions. They can be used to model curves that are not functions of any axis in the plane.