Parametric Curves

Tags

math

A [see page 2, definition] of a curved path that can be parameterised.

PCs are defined by having a bunch of points (keyframes) we know we want to be on the curve and then interpolating between them to get a curved surface.

A PC can control any changing parameter and we can define multiple parameters with multiple curves to get arbitrary behaviour (eg. [see page 4, object-color], facial poses, etc.). We build this by defining the value of each parameter at different points in time and then constructing a PC between each keyframe.

There're various [see page 5, kinds] of parametric curves, including Bezier Curves.