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To control velocity along a spline motion path,
s = f(t) specify distance along the spline as
a function of time t.
- The function f(t), being
just a scalar value, can be supported with a functional animation
technique (i.e. another spline).
- The function f(t) may be specifed as the integral of
yet another function, v(t) = df(t)/dt, the velocity.
Note that the integral of a spline function can be found analytically,
through a manipulation of the control points.
- The motion path as a function of time is thus given by
CS488/688: Introduction to Interactive Computer Graphics
University of Waterloo
Computer Graphics Lab