title: PH-spline approximation for Bézier curve and rendering offset.
abstract: In this paper, a G(1), C(1), C(2) PH-spline is employed as an approximation for a given Bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the Bézier curve. The errors between PH-spline and the Bézier curve, the offset to PH-spline and the offset to the given Bézier curve are also estimated. A new algorithm for constructing offset to the Bézier curve is proposed.
authors.affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, China. mathzzh@eyou.com
authors.forename: Zhi-Hao
authors.initials: ZH
authors.lastname: Zheng
authors.forename: Guo-Zhao
authors.initials: GZ
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted