带切向控制的多结点曲线造型方法
Many-Knot Curve Construction with Controlled Tangent Vector
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摘要: 在普通的多结点样条中加入相当于导数条件的可控参数,通过调节这些参数控制插值曲线在各型值点的切向量,从而达到满意的曲线造型效果.该方法保持了多结点样条的优越性(基数型,局部性),因此可以只对插值曲线作局部调整而不影响整体,有助于计算机辅助几何设计领域的工程人员设计、调整曲线的形状.Abstract: Some adjustable parameters are added to the general many-knot spline,a new kind of interpolating curve is constructed.At control points,we can control the tangent vectors of fitting curve by adjusting these parameters,and the better fitting result can be obtained.The scheme retains the advantages of common many-knot spline (cardinal-type,local-property),it can help engineers in CAGD applications to design and locally adjust the fitting curve.
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