Consolidated sharp bounds for Bézier curve approximation with cutdown polygon and corner cutting polygon
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 382-394 |
| Journal / Publication | Computer Aided Geometric Design |
| Volume | 27 |
| Issue number | 5 |
| Publication status | Published - Jun 2010 |
Link(s)
Abstract
This article presents consolidated sharp bounds for Bézier curve approximation using various approximation polygons. The sharp distance bounds between a Bézier curve and its cutdown polygon, which is introduced recently, are first obtained. The result is a further extension and consolidation over recent results. A polygon named corner cutting polygon is further constructed by using the well-known de Casteljau central corner cutting algorithm. The sharp bounds for Bézier curve approximation using the corner cutting polygon are also obtained. Based on similar methods, various sharp bounds for Bézier curve approximation using control polygons and quasi control polygons are further addressed and extended to parametric Bézier curves in multi-dimensional spaces. Crown Copyright © 2010.
Research Area(s)
- Approximation, Bézier curves, Intersection testing, Sharp bounds
Citation Format(s)
Consolidated sharp bounds for Bézier curve approximation with cutdown polygon and corner cutting polygon. / Zhang, Ren-Jiang; Ma, Weiyin.
In: Computer Aided Geometric Design, Vol. 27, No. 5, 06.2010, p. 382-394.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
