Planar two-point G1 Hermite interpolating log-aesthetic spirals

Planar two-point G1 Hermite interpolating log-aesthetic spirals
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DOI：
10.1016/j.cam.2012.04.021
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发表时间：
2012-11
期刊：
J. Comput. Appl. Math.
影响因子：
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通讯作者：
D. S. Meek;Takafumi Saito;D. Walton;N. Yoshida
D. S. Meek;Takafumi Saito;D. Walton;N. Yoshida
中科院分区：
其他
文献类型：
--
作者：
D. S. Meek;Takafumi Saito;D. Walton;N. Yoshida

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原木美学螺旋线目前被研究为可用于计算机辅助设计的光洁曲线。本文使用了一族包含零曲率点的平面对数审美螺线。考虑的两点G1Hermite数据对角度有一些限制。本文证明了对于该族的任何成员，都可以找到与给定的两点G1Hermite数据相匹配的该螺线的唯一段。
Log-aesthetic spirals are currently being studied as fair curves that can be used in computer aided design. A family of planar log-aesthetic spirals that include a point of zero curvature is used in this paper. The two-point G1Hermite data that is considered has some restrictions on the angles. This paper proves that for any member of the family, a unique segment of that spiral can be found that matches given two-point G1Hermite data.