Logarithmic Curvature and Torsion Graphs
Logarithmic Curvature and Torsion Graphs
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DOI：
10.1007/978-3-642-11620-9_28
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发表时间：
2008-06
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影响因子：
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通讯作者：
N. Yoshida;Ryo Fukuda;Takafumi Saito
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文献类型：
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作者：
N. Yoshida;Ryo Fukuda;Takafumi Saito
本文介绍了对数曲率图和挠率图，用于分析平面曲线和空间曲线。本文给出了由任意可微的参数曲线绘制这些图的方法，并阐明了这些图的特征。我们展示了从平面和3D贝塞尔曲线绘制的这些图形的几个例子。从图中，我们可以看到一些有趣的性质曲线，不能从曲率或挠曲线。
This paper introduces logarithmic curvature and torsion graphs for analyzing planar and space curves. We present a method for drawing these graphs from any differentiable parametric curves and clarify the characteristics of these graphs. We show several examples of theses graphs drawn from planar and 3D Bézier curves. From the graphs, we can see some interesting properties of curves that cannot be derived from the curvature or torsion plots.