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3.1 Tangent plane and
Up:
Shape Interrogation for Computer
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2.4 Frenet-Serret formulae
Contents
Index
3. Differential Geometry of Surfaces
Subsections
3.1 Tangent plane and surface normal
3.2 First fundamental form
I
(metric)
3.3 Second fundamental form
II
(curvature)
3.4 Principal curvatures
3.5 Gaussian and mean curvatures
3.5.1 Explicit surfaces
3.5.2 Implicit surfaces
3.6 Euler's theorem and Dupin's indicatrix
December 2009