曲面

Using application development tool Pro/Toolkit provided by Pro/Engineer and VC++, a surfrace-milling NC programming organ is created in this paper. It provides an interface with Windows style. It can obtain point cloud datum from the surface rebuild module expediently, and rebuild CAD modle with the data. Besides, it can input technical parameters from the human-computer interaction or the technical database. The data can be adjusted if it not suitable.

利用Pro/E的二次开发工具Pro/ToolKit和VC++创建曲面铣削数控程序生成器，并提供一个Windows风格的人机交互界面，能从曲面拟合模块方便地获取点云数据，并进行CAD造型，采用人机交互中或者从工艺信息数据库中传入相关加工工艺参数，如果对参数不满意，还可以进行修改。

According to design route of the forming process of drawing with camber die, this software can be divided into 3 modules: the module of the chamber design, the module of process parameters design, the relative diagram of influence factor of limit drawing coefficient.

按照曲面凹模拉深成形工艺的设计路线，软件设计成三个功能模块：曲面凹模型腔设计模块、工艺参数设计模块、极限拉深系数影响因素关系图。

The requirement of machining technology of aspheric surface optics parts by NC machine with Nanosys--300 aspheric surface ultraprecision compound machining system for single point diamond turning is introduced.

介绍了用金刚石单点车削的方法在&Nanosys--300非球面曲面超精密复合加工系统&数控机床上加工非球面曲面类光学零件时对加工工艺的要求。

To describe and smooth curves and curved surfaces in finite element simulation, a method for modifying die surfaces in plate deforming simulation is proposed.

为解决在有限元中曲线、曲面的描述和光顺问题，提出一种适合有限元模拟的模具曲面修正方法。

Based on a large number of references,data and documents,a comprehensive comment is made on the present situation and the development of the technology of precision grinding and polishing die and mould with free-form surfaces by robot,and this paper presents key technology of grinding and polishing die and mould with free-form surfaces by robot,which includes the movement programming method for grinding and polishing tool and the method of grinding and polishing tool path generation.

在阅读和消化大量国内外文献资料的基础上，本文对模具自由曲面的机器人自动精加工技术做了较为全面的综合评述，重点介绍了机器人自动打磨和抛光精加工模具自由曲面的关键技术—加工工具的轨迹规划方法和轨迹生成算法。

In this paper an innovative method for machining sculptured surfaces is presented. By using a disc cutter with a concave end instead of traditional ball-ended or drum-shaped tools, and adjusting the cut- ted axis to swing relative to the component being machined under some special rules, the envelope formed by the trace of the tool-nose may have the same derivative up to the third order as the required theoretical surface.

本文提出了一种加工自由曲面的新方法，即采用中凹的盘形铣刀取代传统的球头或鼓形铣刀，在每一行程中让刀具轴线相对于工件按特定的规律摆动，使得在垂直于进给方向的法截面中，由刀尖轨迹形成的包络面与理论曲面的法截线具有相同的1～3阶导数，从而在保持精度不变的前提下，使实际行程次数得以大幅度的减少。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

Based on the summarizing of the algorithms of subdivision surface by Catmull and two-part texture mappings by Biers, this paper goes deeply into the realization algorithm of the Texture Mapping on the plane, quadratic surface and NURBS surface and the algorithm of the texture mapping when the plane and the general parametric surface are the optimal intermediate surfaces.

本文在研究和总结了Catmull的分割面片算法和Bier等两步纹理映射算法的基础上，讨论了平面和一般参数曲面作为中间曲面的纹理映射方法。

Coons strategy has been of great impact to the development of CAGD.

Coons构造曲面的思想对CAGD的发展起了巨大的推动作用。B样条曲线、曲面具有许多优点而且已成为CAGD中使用最为广泛的方法之一。

We apply "points and normals" surface modeling technology to construct Coons surface of Correcting Lens.

校正透镜设计的本质是满足点及对应法矢这两个条件的光学曲面构造问题，不是单纯的离散点构造曲面问题。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。