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.
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).
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.
利用后滤波的原理，对多邻接点时新边界点的选择和轮廓端点的对称合成等问题进行了分析，采用构造拟合曲线查找表进行曲线拟合的方法实现反走样。
By use of the theory of after filter, the problems of selecting new boundary point when several points border upon each other and symmetrical combination for outline points are analyzed.
对于右面的曲线，捕捉左图曲线旋转所产生面的端点。对下图曲线同样处理。
For the curve from the right, make the pointer snap to the end of the revolved surface from the curve on the left.
曲线总是锚定在两个端点。
曲线总是锚定在两个端点。
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