Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422457 | Journal of Computational and Applied Mathematics | 2015 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ryeong Lee, Young Joon Ahn,