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首页> 外文期刊>Mathematical Problems in Engineering >Singularities of a Space Curve according to the Relatively Parallel Adapted Frame and Its Visualization
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Singularities of a Space Curve according to the Relatively Parallel Adapted Frame and Its Visualization

机译：相对平行自适应框架的空间曲线奇异性及其可视化

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摘要

The relatively parallel adapted frame or Bishop frame is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of biology, engineering, and computer graphics. The main result of this paper is using the relatively parallel adapted frame for classification of singularity type of Bishop spherical Darboux image and Bishop dual which are deeply related with a space curve and making them visualized by computer.
机译：相对平行的适应框架或Bishop框架是定义运动框架的一种替代方法，即使曲线消失了二阶导数，也可以很好地定义运动框架，它已广泛用于生物学，工程学和计算机图形学领域。本文的主要结果是使用相对平行的自适应框架对Bishop球面Darboux图像和Bishop对偶图像的奇异类型进行分类，这些奇异类型与空间曲线密切相关，并通过计算机使其可视化。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第1期|512020.1-512020.12|共12页
  • 作者

    Haiming Liu; Donghe Pei;

  • 作者单位

    School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China,School of Science, Mudanjiang Normal University, Mudanjiang 15701, China;

    School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;

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