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Computation of inflection lines and geodesics on developable surfaces

机译:可展曲面上的拐点线和测地线的计算

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A developable surface can be formed by bending or rolling a planar surface without stretching or tearing; in other words, it can be developed or unrolled isometrically onto a plane. This paper describes two main differential geometry properties of developable surfaces that have industrial applications. First, a method for identifying the inflection line of a developable surface is described. Second, geodesic lines between two points on a developable surface are found as an initial value Problem, which is easier to solve than the boundary value problem that is normally required.
机译:可以通过在不拉伸或撕裂的情况下弯曲或滚动平面来形成可显影表面。换句话说,它可以等距展开或展开到平面上。本文描述了具有工业应用的可显影表面的两个主要微分几何特性。首先,描述用于识别可显影表面的弯曲线的方法。第二,发现可显影表面上两点之间的测地线作为初始值问题,这比通常需要的边界值问题更容易解决。

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