Abstract

A line element on a surface S is determined by a non-zero tangent vector to the surface. The same line element is determined by all non-zero multiples of the vector. Hence there is no distinguished direction on a line element. Strictly speaking, a line element is a one dimensional linear subspace of the tangent vector space.KeywordsLine ElementEuler NumberTotal CurvatureSpherical ImageBarycentric SubdivisionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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