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。
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.
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.
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.
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.
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.
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.
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.
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.
讨论了混合建模方法的主要研究内容，并研究了二次曲面特征和过渡曲面特征提取。
Main contents in relation to the hybrid modeling method are discussed, and some key techniques such as quadric surface feature extraction and blend surface feature extraction are addressed in details.
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.
本文根据二次曲面方程的分类，分别讨论了二次曲面在十七种标准形式下的直纹性。
This article, according to the classification of the quadric, under the 17 kinds normal form of the quadric, discussed the rectilinearity of the quadric respectively.
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.
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.
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.
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.
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.
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.
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.
给出一种简便的二次曲面简化方程的基本定理，特别给出二重零特征根二次曲面简化方程的定理。
This paper presents a basic law of the simplified equation of surface of degree 2, especially the law of the simplified equation of surface of degree 2 with two equal zero roots.
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.
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.
主要内容有：向量代数、空间的平面和直线、特殊曲面和二次曲面、一般二次曲面和一般二次曲面。
The main content: vector algebra, plane and linear space, special surfaces and secondary surfaces, general quadratic surfaces and general quadric surface.
研究结果表明 ，在上述最佳目标—雷达站几何下 ，椭球形误差二次曲面变为圆球形误差二次曲面。
The equation of second order curved surface forming an error ellipsoid is also given. Results of study show that the error ellipsoid becomes…
研究结果表明 ，在上述最佳目标—雷达站几何下 ，椭球形误差二次曲面变为圆球形误差二次曲面。
The equation of second order curved surface forming an error ellipsoid is also given. Results of study show that the error ellipsoid becomes…
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