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6.4 Intersection curve at tangential intersection points
Now, let us assume that the two surfaces
and
intersect tangentially
at a point
on the intersection curve
, i.e.
at
. By orienting the surfaces appropriately we
can assume that
(see Fig.
6.2). In this case, (6.23) is
invalid. Therefore, we have to find new methods to compute the
differential geometry properties of
. In the following Sect.
6.4.1 we also classify these tangential contact points
in several categories.
Figure 6.2:
Tangential intersection of two surfaces
(adapted from [458])