Cubic Bézier spiral segments for planar G2 curve design

Cubic Bézier spiral segments for planar G2 curve design
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DOI:
10.1145/1811158.1811162
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发表时间:
2010-06
期刊:
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影响因子:
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通讯作者:
D. Walton;D. Meek
D. Walton;D. Meek
中科院分区:
其他
文献类型:
--
作者:
D. Walton;D. Meek

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在曲线设计中,通常需要将 G2 Hermite 数据与一对螺旋线相匹配。现有的方法使用立方体来解决这个问题,首先要求放置接头,然后匹配接头处的切线。现在表明,首先匹配切线,然后确定沿线放置关节的间隔的替代方法更方便并且需要更少的计算。
In curve design it is often desirable to match G2 Hermite data with a pair of spirals. An existing method addresses this problem using cubics by first requiring the joint to be placed, and then matching tangents at the joint. It is now shown that an alternative method of first matching tangents, which then determine an interval along a line for placement of the joint, is more convenient and requires less computation.