Visualizing Parametric Curves
Functional views: x(u), y(u), z(u)
Parametric view: curve in xyz space, ignoring u
Parametrization of a curve: how a given curve in xyz space is decomposed into functions x(u), y(u), z(u).
There are an infinite number of parametrizations of a given curve! Slow, fast, speed continuous or discontinuous, clockwise (CW) or CCW…
An special one: arc-length-parametrization: u is arc length. (but these very hard to compute exactly)