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Distance from Point to a General Quadratic Curve or a General Quadric Surface 点与双曲线或二次曲面之间距离求解算法
general quadric surface 一般二次曲面
Conic sections and quadric surfaces. 二次曲线与二次曲面。
Extracting quadric surface from measured data is an important problem in reverse engineering of mechanical parts. 摘要在机械产品的逆向工程中，针对测量数据提取常用二次曲面是非常重要的。
This paper proposes for the first time to use genetic algorithm based on real-number-coding to extract quadric surface. 首次提出利用基于实数编码的遗传算法针对离散数据点进行二次曲面提取。
On the area of actual process, It is often seen that one surface of the part is quadric surface. 在实际生产中,如果某一加工表面是二次曲面,对于这类曲面轮廓的加工常采用数控加工方法。
An algorithm of feature surface recognition based on quadric surface fitting and geometry property was presented. 摘要提出了基于二次曲面拟合误差分析和几何属性分析的特征曲面识别算法。
The system can be easily employed in automatic remanufacturing of workpiece of quadric surface, with various state of surface damage. 系统适用于缺损表面为二次曲面的工件，对不同缺损程度的工件的再制造可以自动进行。
To solve the problem of quadric surface reconstruction in reverse modeling for mechanical parts, a two-step fitting algorithm was presented. 摘要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。
Lastly, experiments were performed to evaluate the performance of this method in comparison with the methods using linear classifier and quadric surface. 最后，为了评估该方法的性能，分别使用线性分割器和二次曲面分割器的方法进行了对比实验。
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。
Using local base surface parameterization, a parametric quadric surface approximation method is used to estimate the local surface curvature properties of scattered points based on propagating normal vector direction. 首先，计算各点的邻近点集，选取合适的局部基础曲面，把邻近点集投影到相应的局部基础曲面。
At last, the commonly methods and steps for represention quadric surfaces using NURBS was find. 最后总结出了二次曲面进行NURBS表示的一般方法和步骤。
Then, on this basement, the method of calcutating the control vertecs and weights was given while representing quadric surfaces using NURBS. 在此基础上给出了二次曲面进行NURBS表示时控制顶点和权因子的计算方法。
ZHU Si-fang.Design of the Second Order Quadric Surfaces Shell[J].Journal of Central South University of Technology(Natural Science), 2000, 31(4):356-359. [4]朱泗芳.;关于二次曲面薄壳的设计[J]
The circular cross-section of quadric surface 二次曲面的圆截线平面
Gunner Jones was praised by the general. 炮手琼斯受到了将军的表扬。
The Application of Theory of the Quadric Surface 二次曲面理论的一个应用
Please give me a general idea of the work. 请告诉我这项工作的梗概。
My general impression was that it was quite good. 大致上我觉得那相当好。