Τ-curve: Introduction of Cusps to Aesthetic Curves☆
Τ-curve: Introduction of Cusps to Aesthetic Curves☆
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DOI：
10.1093/jcde/qwaa014
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发表时间：
2020-04
期刊：
影响因子：
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通讯作者：
K. Miura;Shoma Suzuki;S. Usuki;R. Gobithaasan
中科院分区：
文献类型：
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作者：
K. Miura;Shoma Suzuki;S. Usuki;R. Gobithaasan
Yan，Schiller，Wilensky，卡尔和Schaefer指出回旋曲线插值的缺点之一是曲线变形时的跳跃行为。出现这种现象是因为回旋曲线不能有尖点，在尖点处曲线扭结或曲线的方向突然改变。讨论了如何在对数曲线（包括回旋曲线）中引入尖点，提出用方向角代替曲率来表示曲线，并定义了一种新的曲线τ-曲线，它是由曲线的方向角定义的。
Yan, Schiller, Wilensky, Carr, and Schaefer pointed out that one of the demerits of clothoid interpolation is a jumping behavior during the deformation of the curve. This phenomenon occurs because the clothoid curve cannot have a cusp, where the curve is kinked or the direction of the curve is abruptly changed. We discuss how to introduce cusps for the log-aesthetic curve including the clothoid curve and propose to use for the representation of a curve the direction angle instead of curvature and define a new curve named τ-curve, which is defined by the direction angle of the curve.