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雍俊海

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期刊论文

Automatic G1 arc spline interpolation for closed point set

雍俊海Xiao-Diao Chen ab Jun-Hai Yong a* Guo-Qin Zheng a Jia-Guang Sun a

Computer-Aided Design 36 (2004) 1205-1218,-0001,():

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摘要/描述

A method for generating an interpolation closed G1 arc spline on a given closed point set is presented. For the odd case, i.e. when the number of the given points is odd, this paper disproves the traditional opinion that there is only one closed G1 arc spline interpolating the given points. In fact, the number of the resultant closed G1 arc splines fulfilling the interpolation condition for the odd case is exactly two. We provide an evaluation method based on the arc length as well such that the choice between those two arc splines is made automatically. For the even case, i.e. when the number of the given points is even, the points are automatically moved based on weight functions such that the interpolation condition for generating closed G1 arc splines is satisfied, and that the adjustment is small. And then, the G1 arc spline is constructed such that the radii of the arcs in the spline are close to each other. Examples are given to illustrate the method.

版权说明:以下全部内容由雍俊海上传于   2005年06月29日 00时18分53秒,版权归本人所有。

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