摘要
四次H-Bézier曲线是由{1,t,t2,sinht,cosht}生成的曲线,具有很多类似于Bézier曲线的优良性质。文章讨论了与给定切线多边形相切的分段四次H-Bézier曲线,所构造的H-Bézier曲线是C1连续的,且对切线多边形是保形的,四次顶点直接计算产生;最后以实例表明该文的方法是有效的。
Quartic H-Bezier curves are yielded by the basis { 1, t, t2, sinh t, cosh t}. They have a lot of good properties which Bezier curves possess. This paper presents an approach of constructing planar piecewise quartic H-Bezier curves with all edges tangent to a given control polygon. The H-Bezier curve segments are joined together with C1 continuity. H-Bezier curves are shape preserving to their tangent polygon. All control points of the curve segments are calculated simply by the vertices of the given tangent polygon. Numerical examples illustrate that the method given in this paper is effective.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第3期472-475,共4页
Journal of Hefei University of Technology：Natural Science
