کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6422457 | 1632010 | 2015 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Limit curve of H-Bézier curves and rational Bézier curves in standard form with the same weight
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Limit curve of H-Bézier curves and rational Bézier curves in standard form with the same weight Limit curve of H-Bézier curves and rational Bézier curves in standard form with the same weight](/preview/png/6422457.png)
چکیده انگلیسی
The basis of H-Bézier curves of degree n is 1,t,â¦,tnâ2, sinhαt and coshαt, for tâ[0,1]. We find the limit curve of H-Bézier curves of degree n as a parameter α goes to â, which is the Bézier curve of degree nâ2, and prove it using mathematical induction and special properties of H-basis functions. We also compare it to the limit curve of rational Bézier curves of degree n in standard form with the same weight w as it goes to â, which is the rational Bézier curve of degree nâ2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 281, June 2015, Pages 1-9
Journal: Journal of Computational and Applied Mathematics - Volume 281, June 2015, Pages 1-9
نویسندگان
Ryeong Lee, Young Joon Ahn,