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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。
Research on Algorithm of Quadric Surface Fitting in Reverse Modeling for Mechanical Parts 反求建模中常见二次曲面拟合方法
Quadric Surface Fitting 二次曲面拟合
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。
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。
Imaging Spectral Image, Strip Corretion, Surface Fitting Correction, Information Entropy, Loss-less Compression. 成像光谱图像,相关性,曲面拟合校正,信息熵,无损压缩
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。
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。
But the atmosphere does succeed in making a surprisingly large amount of the earth's surface fit for human habitation. 但大气确是有功劳的，它在地球表面开辟了广袤的适宜人类休养生息的地方。
Next, in the interior of the patches, surface fitting points and cross boundary derivatives are estimated from the reference curves by constructing virtual iso-parametric curves. 其次,在曲面片内部,曲面拟合点和边界方向导数可以从参考曲线中通过构建虚拟等参线的方法得到。
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。
Non-uniform rational b-spline (NURBS) surface fitting based on an extracted topology array was made and the method of multi-point forming was used to form parts. 用基于曲率抽样的拓扑矩形阵列进行NURBS曲面拟合并用多点成形方法成形工件；
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. 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。
Without consideration of discontinuities possible existing in range image, traditional finite difference or local surface fitting method, inevitably produce errors. 传统的有限差分或局部拟合方法未考虑到表面上可能出现的不连续性，因而会不可避免地出现错误。
The problem can be decomposed into four sub-problems, the correspondence problem, the branching problem, the tiling problem and the surface fitting problem. 这个问题可以分为四个子问题，即轮廓对应问题、分叉问题、拼接问题和曲面拟合问题。
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。
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。
The B-Splines surfaces fitting algorithm with Multilevel B-Splines is also studied.And a modified fitting method about sparse meshes is put forward. 研究了基于多层次B样条的曲面拟合,并且针对稀疏网格模型拟合曲面的起皱现象给出了改进方法。