| 基于权值的NURBS曲线形状修改 |
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| 引用本文： | 陈军,崔汉国.基于权值的NURBS曲线形状修改[J].海军工程大学学报,2012(4):108-112. |
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| 作者姓名： | 陈军 崔汉国 |
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| 作者单位： | 海军工程大学船舶与动力学院 |
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| 摘 要： | 针对基于控制顶点的NURBS曲线形状修改的不足,讨论了如何通过修改控制顶点的权值进行NURBS曲线的形状修改问题。NURBS曲线可以看作是高一维空间非有理B样条曲线的中心投影,该B样条的控制顶点为原NURBS曲线的带权控制顶点,并且这样的B样条曲线有无数多条。根据这个性质,以实例的方式通过特定自由参数确定B样条曲线,实现了基于权值的NURBS曲线形状修改。该方法不仅能够较好地确定新的带权控制顶点,还解决了修改后曲线在给定点的切矢问题,具有更好的灵活性。
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| 关 键 词： | 权值 形状修改 B样条曲线 NURBS曲线 |
Shape modification of NURBS curves based on weight |
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| CHEN Jun,CUI Han-guo.Shape modification of NURBS curves based on weight[J].Journal of Naval University of Engineering,2012(4):108-112. |
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| Authors: | CHEN Jun CUI Han-guo |
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| Institution: | (College of Naval Architecture and Power,Naval Univ.of Engineering,Wuhan 430033,China) |
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| Abstract: | This paper deals with the deficiency in NURBS curve′s shape modification based on control points and the way to perform the prescribed shape modification of NURBS curves merely by the mo-dification of the weight of some of their control points.As is known,NURBS curves can be consi-dered as central projections of infinite number of non-rational B-spline curves,whose control points are the original NURBS curve′s control points with weight.Thus,a weight-based shape modification method is proposed through the examples in which B-spline curves are determined by definite free parameter.The method can not only determine the new position of an arbitrary chosen point of plane NURBS curve,but also prescribe the tangent direction well. |
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| Keywords: | weight shape modification B-spline curves NURBS curves |
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