如果曲线c，起点为P0，终点为1，那么计算所做功的线积分，只与端点位置有关，而与我们选择的路径无关。

P1 If we have a curve c, from a point p0 to a point p1 then the line integral for work depends only on the end points and not on the actual path we chose.

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构造一条满足给定端点条件的光顺曲线是计算机辅助几何设计(CAGD)中的一个基本问题。

Constructing a smooth curve with given endpoint conditions is a fundamental problem in computer aided geometric design (CAGD).

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为了消除端点和假频影响，文中采用了双曲线速度滤波法和相似系数法。

Hyperbolic velocity filtering and similar coefficient method are introduced to remove the influences resulting from end-point effect and alias.

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