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8.5.4.4 Minimum principal curvature
Color Plate A.6 shows a color map of the minimum principal
curvature
, which has a range of
. The global maximum is located inside the
domain at
with
. The global
minimum is located at two corners
,
with
. There are other stationary points within the domain, a minimum
at
with the value
and four
saddle points inside the domain at
,
,
and
with values
. There are six local maxima
and two local minima along the domain boundaries. The maxima are
located at
,
,
,
,
,
with
,
, 0
,
, 0
,
. The local minima are located at
,
with the value
,
. For
the same reason as in maximum principal curvature, the domain is
subdivided at
and
.
Figure 8.11:
Wave-like integral Bézier surface patch (adapted from [255])
Next: 9. Umbilics and Lines
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December 2009