The implicit algebraic curve and rational polynomial parametric
surface intersection is defined as:
(5.76)
By substituting
into
and
we obtain two algebraic curves
and
.
This formulation reduces to IA/IA curve intersection, Case D8 in
Sect. 5.6.5 (see Fig. 5.17). A more
detailed discussion of algebraic curves is given in Sect.
5.8.1.