Bisection algorithms for approximating quadratic Bézier curves by G1 arc splines
نویسندگان
چکیده
To describe the tool path of a CNC machine, it is often necessary to approximate curves by G arc splines with the number of arc segments as small as possible. Ahn et al. have proposed an iterative algorithm for approximating quadratic Bézier curves by G arc splines with fewer arc segments than the biarc method. This paper gives the formula of the upper bound for arc segments used by their algorithm. Based on the formula, two kinds of bisection algorithms for approximating quadratic Bézier curves by G arc splines are presented. Results of some examples illustrate their efficiency. q 2000 Elsevier Science Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computer-Aided Design
دوره 32 شماره
صفحات -
تاریخ انتشار 2000