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.
该方法通过二次曲面求管线表面轮廓方程进而求得管线的型值点集。
With this method, shape points were calculated by surface outline equation got from quadratic surface.
仿真实验和实物测量实验表明，给出的二次曲面拟合方法和不确定度估计方法是正确的。
The simulation and actual measurement experiments were conducted, which suggested that the methods of quadric surface fitting and uncertainty assessment presented be correct.
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.
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.
我们称这个曲面为应力二次曲面。
我们称这个曲面为应力二次曲面。
在探测器的主要灵敏面内，相对响应度与到探测器中心的距离表现为二次曲面关系。
The responsivity over the sensitive area has a quadratic relation with distance to detector center within the main sensitive area.
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.
作为提高生产效率和改善造型设计的重要途径，逆向工程受到越来越多的重视，空间二次曲面拟合是其重要组成部分之一。
As an important approach for improvement of productive efficiency and shape design, more and more attention is paid for reverse engineering, fitting of quadratic surface is one of its components.
本文采用二次曲面拟合、BP网络和RBF网络进行了GPS高程转换，并在网络结构改进等方面作了分析。
In this paper, the fifing method which stimulates the Geoid using quadric polynomial, BP network and RBF network are provided for the GPS height conversion.
连续介质力学中关于一点应力状态的描述有多种方法：如二次曲面法和应力椭球法。
There are two main methods to describe the general state of stress at a point in Continuum Mechanics-Qudric Surface method and Ellipsoid method.
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.
本文主要研究细分方法及其应用，所做的工作包括四点小波的构造、尖锐特征造型和二次曲面造型。
In this thesis, we will investigate subdivision method and its application, including construction of four-point wavelets, generation of sharp features and quadrics.
提出了基于实数编码免疫算法针对离散数据点进行二次曲面提取的方法。
This paper proposed to use immune algorithm based on real-number-coding to extract quadric surface.
非球面透镜能够克服球面透镜的缺点，具有很高的实用价值，故对旋转二次曲面及其透镜成像质量的研究将有重要意义。
Non spherical surface lens can get rid of the spherical surface lens' shortcoming and will be highly valuable, so the study of image quality of rotational conicoid and its lens is meaningful.
利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离，给出了曲线与曲面相切的条件。
With the Lagrange multiplier method, the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.
针对机械零件反求建模过程中常见二次曲面的表面重建问题，提出了曲面拟合分步计算法。
To solve the problem of quadric surface reconstruction in reverse modeling for mechanical parts, a two-step fitting algorithm was presented.
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.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
给出了二次曲面在转轴变换下的六个不变量的简易证明。
A simple proof of six invariants under the transformation of spin axis is put forward.
本算法适用于平面多面体，通过面域作为中介，容易实现与模型引导方法的融合，从而拓展到二次曲面体的重。
This algorithm can deal with polyhedral model only, however, with the introduction of face region, it can be combined with model o.
简要介绍了转换GPS高程的二次曲面拟合法，以及神经网络BP算法的基本结构和数学公式。
The conicoid fitting method used for transforming GPS elevation, and the basic structure and mathematic formulas of BP algorithm of neural networks are introduced briefly in this paper.
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.
研究结果表明，法向压力在模型铲刀表面呈二次曲面分布，在模型铲刀的中部取得最大值。
The experimental result shows that the normal pressure distribution on the surface of the model blade is a conicoid, the maximum of the normal pressure is in the middle of the model blade.
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.
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.
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