计算机工程与科学2011，Vol.33Issue(6)：57-62,6.DOI:10.3969/j.issn.1007-130X.2011.06.012
两种带形状参数的曲线
Two Kinds of Curves with Shape Parameters
摘要
Abstract
Two kinds of trigonometric spline bases are constructed in this paper. Based on these bases, two kinds of trigonometric spline curves are defined. As each piece of these trigonometric spline curves are generated by three consecutive control points, these curves retain many properties of the quadratic B-spline curve, but they have a higher order of continuity than the quadratic B-spline curve. For equidistant knots, these curves are C3 continuous, and they are C5 continuous under special conditions. The shape parameters of the curves have an explicit geometric meaning. The curves approach the control polygon as the parameter increases. Besides, these curves are closer to the control polygon than the quadratic B-spline curve when the shape parameters are under special conditions. By using the tensor product method, the two kinds of curves can be extended to surfaces. The surfaces have a higher order of continuity than the bi-quadratic B-spline surfaces.关键词
计算机应用/三角基/样条曲线/形状参数Key words
computer application/trigonometric basis/spline curve/shape parameter分类
信息技术与安全科学引用本文复制引用
严兰兰,梁炯丰..两种带形状参数的曲线[J].计算机工程与科学,2011,33(6):57-62,6.基金项目
东华理工大学校长基金资助项目(DHXK0808) （DHXK0808）
