G2 planar spiral cubic interpolation to a spiral

被引：0
|
作者：
Habib, Z [1 ]
Sakai, M [1 ]
机构：
[1] Kagoshima Univ, Grad Sch Sci & Engn, Dept Math & Comp Sci, Kagoshima 8900065, Japan
来源：
SIXTH INTERNATIONAL CONFERENCE ON INFORMATION VISUALISATION, PROCEEDINGS | 2002年
关键词：
D O I：
10.1109/IV.2002.1028755
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We show that two-point G(2) Hermite cubic spline interpolation to a smooth spiral is a spiral. Its unit tangent matches given unit tangents and its signed curvature matches given signed curvatures at end points of the given spiral. Spiral segments are useful in the design of fair curves and have the advantages that there are no unplanned curvature maxima, curvature minima, or inflection points, and that loops and cusps are impossible within a segment.
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页码：51 / 56
页数：6
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