DocumentCode :
2172086
Title :
G2 planar spiral cubic interpolation to a spiral
Author :
Habib, Zulfiqar ; Sakai, Manabu
Author_Institution :
Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
fYear :
2002
fDate :
2002
Firstpage :
51
Lastpage :
56
Abstract :
We show that two-point G2 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.
Keywords :
computational geometry; curve fitting; data visualisation; interpolation; splines (mathematics); end points; fair curve design; signed curvature; smooth spiral; spiral segments; two-point G2 Hermite cubic spline interpolation; unit tangent; Equations; Interpolation; Spirals; Spline;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Visualisation, 2002. Proceedings. Sixth International Conference on
ISSN :
1093-9547
Print_ISBN :
0-7695-1656-4
Type :
conf
DOI :
10.1109/IV.2002.1028755
Filename :
1028755
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2172086
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