然后再将序列化的轮廓点映射到用户交互绘制的一条草图线上，通过解线性方程组求出变形后各顶点的新坐标。

Then the serialized silhouette points are projected to a line sketched by the user interactively and the new coordinate of vertices are achieved after solving the linear equations.

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考查了线性组合方程的解在特征角面顶点的值，并给出了柯西问题解对初值的必要条件。

The value of solution for the linear equation at the conic point is derived, and the necessary condition satisfied by the Cauchy's problem solution is given.

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构造边界条件反求得控制顶点。构造出三次NURBS曲线的参数方程。

Boundary conditions are constructed to get the control points and the equation of 3-order NURBS curved profile is acquired.

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