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| Rational offset approximation of rational Bézier curves | |
| 作者姓名： | CHENG Min WANG Guo-jin |
| 作者单位： | CHENG Min1，2，WANG Guo-jin1 (1Department of Mathematics，Zhejiang University，Hangzhou 310027，China) (2Department of Mathematics，Zhejiang University of Technology，Hangzhou 310032，China) |
| 基金项目： | Project supported by the National Basic Research Program (973) of China (No. 2002CB312101) and the National Natural Science Foun-dation of China (Nos. 60373033 and 60333010) |
| 摘 要： | INTRODUCTION Offset curves/surfaces, also called parallel curves/surfaces, are defined as the locus of the points which are at constant distance along the normal from the generator curves/surfaces. As for a planar gen- erator curve Γ:C(t)=(x(t),y(t)), the parametric speed and its norm σ(t) are defined respectively as (Farouki, 1992) C ′( t ) =( x ′( t ), y ′(t )),σ (t ) = x ′ 2 (t ) y ′2(t ). (1) Subsequently the offset curve of the generator curve, which is at constant distanc… |
| 关 键 词： | Rational Bézier curve Parametric speed Offset Rational approximation |
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