Blending of the trigonometric polynomial spline curve and surface with arbitrary continuous order

doi:10.3785/j.issn.1008-9497.2014.04.010

Journal of ZheJIang University(Science Edition)

2014, Vol. 41

Issue (4): 413-418 DOI: 10.3785/j.issn.1008-9497.2014.04.010

Blending of the trigonometric polynomial spline curve and surface with arbitrary continuous order

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Received: 02 July 2013 Published: 01 April 2014

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Cite this article:

LIU Huayong,，LI Lu，ZHANG Daming. Blending of the trigonometric polynomial spline curve and surface with arbitrary continuous order. Journal of ZheJIang University(Science Edition), 2014, 41(4): 413-418.

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https://www.zjujournals.com/sci/10.3785/j.issn.1008-9497.2014.04.010 OR https://www.zjujournals.com/sci/Y2014/V41/I4/413

任意阶参数连续的三角多项式样条曲线曲面调配

为了进一步研究三角多项式样条曲线曲面的理论和探讨闭曲线曲面的表示方法，利用曲线曲面混合法，对三角多项式样条曲线曲面进行形状调配. 所选调配基函数形式简单，通过调节调配因子可调配曲线曲面的局部形状. 所得调配曲线曲面除了具备原有曲线曲面的基本性质和保持原有曲线曲面次数不变外，还能表示闭曲线曲面和精确表示二次曲线曲面，比原有的曲线曲面具有更好的表达能力.

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