Pythagorean Hodograph Quintic Trigonometric Bezier Transtion Curve

被引：11
|
作者：
Misro, M. Y. [1 ]
Ramli, A. [1 ]
Ali, J. M. [1 ]
Hamid, N. N. A. [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
来源：
2017 14TH INTERNATIONAL CONFERENCE ON COMPUTER GRAPHICS, IMAGING AND VISUALIZATION (CGIV 2017) | 2017年
关键词：
Pythagorean Hodograph; quintic curve; trigonometric Bezier; transition curves; shape parameters; SPIRAL SEGMENTS; TRANSITION; CIRCLES;
D O I：
10.1109/CGiV.2017.26
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Pythagorean Hodograph (PH) quintic transition curves are normally constructed because it is polynomial and has attractive properties, which is its arc-length is a polynomial of its parameter, and the formula for its offset is a rational algebraic expression. Pythagorean Hodograph is very important in formulating efficient real-time interpolator algorithm for CNC machines, suitable for rounding corners and blending smooth transition between two circles. By reinstating quintic Bezier curve with quintic trigonometric Bezier curve with two shape parameters, it will provide more flexibility to construct curves and surfaces. This new type of Pythagorean Hodograph will be more practical for curve designing especially in the computer aided geometric design of consumer products and useful for other computer graphics for designing highways.
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收藏
页码：1 / 7
页数：7
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