Surface to surface intersection cases are identified in
Table 5.3. The solution of a surface/surface
intersection problem may be empty, or include a curve (possibly made
of several branches), a surface patch, or a point. In Sects.
5.8.1 to 5.8.3 several of the most frequent
surface to surface intersection problem cases F3, F1, and F8 are
studied in detail. The remaining cases are not analyzed, but could be
addressed based on cases F3, F1 and F8, although without general
robustness guarantees. Conceptually, RPP/IA surface intersection (Case
F3) is the simplest of the above cases and may serve as illustrating
general difficulties of surface to surface intersection problems.
Table 5.3:
Classification of surface/surface intersections