Well, if we diagonalize $\bf b$ then we obtain $$, where $\bf t$ is the unit tangent along some curve in the surface and $s$ is the arc length parameter. Principal curvatures are defined as the eigenvalues of the aforementioned tensor, call it $\bf b$. (v.2.0, University of Utah, Salt Lake City, UT, USA). Evaluate the principal curvatures of the surface with tag tag at the. models, the lunate surface and the head surface were selected using principal curvature in Postview. Thus the orthogonal net of lines of curvature, which is described in Sect. First off, what is the name of the tensor associated with the second fundamental form? For the first fundamental form, I believe we call the associated tensor, "the metric tensor." The PostView field specifies an explicit background mesh in the form of a scalar. Umbilics and Lines Contents Index 9.1 Introduction An umbilic is a point on a surface where all normal curvatures are equal in all directions, and hence principal directions are indeterminate.
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