平面代数曲线

Cayley-Bacharach定理在沿平面代数曲线插值问题中的应用

The application of CAYLEY-BACHARACH theorem to Lagrange interpolation along an algebraic curve

提出了基于采样的平面代数曲线样条逼近方法。

Propose the method of approximating planar algebraic curves with splines .

它适合于任意亏格的不可约的实平面代数曲线（包括含奇异点的曲线）。

It is suitable for all irreducible real plane algebraic curves with arbitrary genus ( including singular curves ) .

平面代数曲线也具有参数曲线无法比拟的优点，即它能很容易确定一个给定的点是否在曲线上以及在曲线的哪一侧。

The planar interpolation with geometric constraints has advantages over the parametric curve , that is , it can be very apt to determine whether one of a setting is on the curve and in whichever side of the curve .

平面三次代数曲线射影构成、分类及作图

Projective Construction , Classification and Drawing of Plane Cubic Curves

尤其是平面上有序数据点列平面代数曲线的研究就更少了。

Especially , there is even less research of orderly data points on the plane .

比如参数曲面与平面的交线就是一条平面代数曲线；平面参数曲线的等距曲线也是一条代数曲线。

For example between the parametric curved surface and the plane line is a piece of plane algebra curve , so is the equal-distance curve at the plane parametric curve too .

平面二次线束是研究平面三次代数曲线和高次曲线的基础。

The pencil of plane quadratic lines is the foundation for studying plane cubic curve and hig-her plane curves .