Smoothing arc splines by cubic curves

被引：2
|
作者：
Habib, Zulfiqar [1 ]
Sakai, Manabu [2 ]
机构：
[1] FAST Natl Univ Comp & Emerging Sci, Dept Comp Sci, B Block, Lahore, Pakistan
[2] Kagoshima Univ, Dept Math & Comp Sci, Kagoshima 8900065, Japan
来源：
PROCEEDINGS OF THE 2009 SIXTH INTERNATIONAL CONFERENCE ON COMPUTER GRAPHICS, IMAGING AND VISUALIZATION | 2009年
关键词：
Arc splines; G(2) continuity; Cubic Bezier function; Curvature extrema; Spiral; CAD; PLANAR G(2) TRANSITION; 2; CIRCLES; SHAPE CONTROL; SPIRAL SEGMENTS; INTERPOLATION; PAIR;
D O I：
10.1109/CGIV.2009.27
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Arc splines are planar tangent continuous, piecewise curves made of circular arcs and straight line segments. They are important in manufacturing industries because of their use in the cutting paths for numerically controlled cutting machinery, highway route and robot paths. This paper considers how to smooth three kinds of G(1) biarc models: the C-, S-, and J-shaped, by replacing their parts by a single G(2) cubic Bezier function. All kinds of transition curves have just one inflection point in their curvature. Use of a single curve rather than two functions has the benefit because designers and implementers have fewer entities to be concerned
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页码：199 / +
页数：2
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