1·This paper proposed to use immune algorithm based on real-number-coding to extract quadric surface.
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。
2·The common method to quadric surface equation is to get the Normal Component first, and then write out the equation through dot method.
求切平面方程的一般方法是先求切平面的法向量(借助偏导)，再用点法式写出切平面的方程。
3·To solve the problem of quadric surface reconstruction in reverse modeling for mechanical parts, a two-step fitting algorithm was presented.
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。
4·The main content: vector algebra, plane and linear space, special surfaces and secondary surfaces, general quadratic surfaces and general quadric surface.
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。
5·The simulation and actual measurement experiments were conducted, which suggested that the methods of quadric surface fitting and uncertainty assessment presented be correct.
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。
6·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.
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。
7·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.
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。
8·We call this surface the stress quadric .
我们称这个曲面为应力二次曲面。
9·We call this surface the stress quadric.
我们称这个曲面为应力二次曲面。
10·Based on study of relationship between the average quadric error and the surface curvature, a variable resolution surface reconstruction algorithm was proposed.
在研究平均二次误差与曲面曲率关系的基础上，提出了变分辨率的曲面重建算法。