The intersection problem between a rational polynomial parametric
curve or a procedural parametric curve and a procedural parametric
surface is defined as:
(5.72)
Similar to Case E1, this problem reduces to three nonlinear
equations in three unknowns involving non-polynomial functions, for
which bounds are not generally available.
A possible approach is to use the minimization technique
(5.73)
in a cube
. Comments under the point/PP curve
intersection case (see Sect. 5.4.3) also apply to
this problem.