曲面

The result not only enriched the theory of minimal surface in differential geometry, but also enhanced the application of minimal surfaces in CAD systems.

本研究不仅丰富了微分几何中的极小曲面理论，对极小曲面在CAD系统中的应用也有重要意义。

With the help of Lagrange multipliers, we obtain the optimal approximate merging surface with minimal distance.

为得到与原曲面距离最小的近似合并曲面，只需要利用Lagrange乘子法解决带线性约束的条件极值即可。

A new and efficient algorithm for match of free-form surface is presented. It is based on the Minimum principle for eliminating the location error of surface measuring.

为了更好地消除自由曲面测量中的定位误差，提出了一种新型的、有效的基于最大最小原则的自由曲面匹配的数学模型。

Firstly, the structure equations of the evolution surface family are derived, and some laws of the surface invariants evolution are obtained, based on modern differential geometry, especially, differential forms and frame field theory.

本文以微分形式、活动标架为工具，推导出演化曲面、曲线的结构方程，并重点研究曲面微分不变量、不变式、整不变量及标架的演化规律，给出了这些规律同演化速率函数之间的关系。

This paper analyses and calculates the plow parameters about two kinds of high speed plows LEMKEN and KUHN, and studys the relation between the geometric parameters of shape of moldboard plow surface and soil properties, plowing quality, forces properties, plowing speed, resistance and energy dissipation during the plowing. Then according to the direction of developing high efficiency and saving-energy agriculture, under the premise of good farming quality this article puts forward a kind of method setting the mathematics model about plow resistance through the new cultivation principle and the new design principle.

本文通过对比分析的手段对LEMKEN和KUHN两种高速犁参数两种犁体曲面参数进行量化分析计算，分析犁体曲面形状的几何参数与耕后质量、土壤的力学特性、耕速、阻力和功率消耗等相关关系，结合目前高效节能型农业的发展方向，提出在保证作业质量的前提下，应用新型耕作理论和新型设计理论建立牵引阻力数学模型。

It has discussed the polyhedron modeling, the feature-based 3D mannequin surface modeling , the human parameters surface modeling and the 3D mannequin modeling based on the condition of the net border lines.

对多面体建模、基于特征的服装人体曲面建模、参数化的曲面建模、以网格边界线连续为条件的三维人体建模方法作了详细的论述。

The relation between normal curvature and tracing direction are indicated in this paper.

本论文是作者在曲面造型领域所做工作的总结，主要理论结果包括三部分：在曲面求交算法中，初始跟踪点的确定和交线分支的跟踪是最关键的两个问题。

This dissertation points out the error caused by improper normal vector of surface in the shading operation of volume rendering, and a method to avoid the error is presented.

本文也指出了在整体显示的浓淡处理中，由于原有模型中曲面法向的不确定性所引起的错误，提出了一种新的计算法向的方法来避免曲面法向不确定的现象。

After the design with studying to the automatic graduation numerical control backward table of his major hardware device is carried out, the range of processing complex ruled surface by WEDM is widened, and the problem in cutting parts with complex surfaces is solved.

开发了能实现空间曲面零件电火花线切割加工的极坐标加工系统，阐明了系统的组成和运动规律，对其主要硬件装置———翻转式自动分度数控回转台进行了设计和研究，从而进一步拓宽了电火花线切割加工的工艺范围，解决了空间曲面零件的加工难题。

The analytical equations of workspace boundary surfaces for the octahedron parallel machine tool and the new type of parallel machine tool are derived based on the forward displacement analysis. Based on it, the projection graphs of workspace boundary surfaces are drawn.

提出了并联机床工作空间分析的解析方法，得到了八面体并联机床和新型并联机床的工作空间边界曲面的解析方程，并在此基础上绘出了工作空间边界曲面的图形。

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。