本文提出一种全新的，可推广至一般二次曲面的旋转抛物面实时成象的等灰曲度线算法。
This paper presents a new algorithm for realtime generation of rotating paraboloid images, which can be extended into quadric surfaces.
本文应用矩阵的运算，给出求二次曲面的切平面方程的一个筒单方法。
From this paper, the equations of tangent planes of a quadratic surface are obtained by matrix operations.
画法几何学中的难点之一是求解两一般位置二次曲面的交线。
One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces.
为获取灵活的曲面编辑能力，设计了一种基于超二次曲面的约束变形算法。
To achieve a flexiblecapability for surface editing, a superquadric-based general constrained deformationalgorithm is designed.
利用二次曲面的不变量判定到一定点和一定平面(定直线)的距离之比为常数的空间点的轨迹。
Make use of constant measure of second order curved face, and judge the space figure that arrive the fixed point and the fixed flat surface (fixed straight line) distance's ratio is a constant.
具有公共对称平面的二次曲面的交线在该平面上的投影为二次曲线。
It is known that the projection of the intersection of quadrics with common plane of symmetry on this plane is a curve of second order.
建立一种表面为复杂二次曲面的空心三维实体模型，分析了该模型的快速原型方法?。
Rapid Prototyping provides a new method of aiding to diagnose. A hollow three dimension model with complicated conicoid surface was built and the prototyping processing was analyzed.
目前的通用方法都是基于二次曲面的特征方程进行拟合，由于特征方程求解复杂，因此这些拟合软件在进行曲面拟合时均存在很多的限制条件。
Nowadays, general fitting methods are based on the character equations of quadratic surface to implement. For it is so complicated that a lot of fitting software exist a lot of restrict conditions.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle section question of quadric in 3-dimensional Euclidean space. We give the equations of these circle sections.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle Section question of quadric in 3-dimensional Euclidean space.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle Section question of quadric in 3-dimensional Euclidean space.
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