单值化的

The adhesion region between two adjacent teeth on the 3D dental model is first detected by exploiting the minimum principal curvature information. Then, the adhesion region is cut off and the tooth profile opening caused by the removal of the adhesion region is filled with triangular patches adopting a local optimization scheme, it is then refined to form an intermediate restoration surface patch. The final restoration result is obtained by minimizing the surface energy to reflect the bio-characteristics of the single tooth.

根据三维牙颌模型的形态特征，采用基于曲面最小主曲率的方法对粘连区域进行准确的检测提取；对删除齿间粘连区域后生成的齿间开口利用局部最优化权值规则进行剖分并细分优化，生成"中间"恢复曲面；根据牙齿的生理医学特征，以齿间开口的边界信息为约束条件，采用基于最小化曲面能量函数的方法对"中间"恢复曲面进行变形调整，实现单颗牙齿缺失形状的准确恢复。

The main jobs of this paper are as followed: 1 The reuse of the frame design technology for aircraft assembly fixtures is researched. a frame line part library is built with the templet driven technology, the reuse of the frame line part come true by the tools for instantiation and instance modification. The design resources are effectively used, some repeating work is cut. 2 Two methods to obtain the assembly feature are proposed: the straight way by the Enumeration method and the indirect way by project features to the assembly plane. All of the assembly features of the frame and the adjustable bearings are obtained by these two methods which makes the frame automatic assembly technology for aircraft assembly fixtures come true. 3 The frame automatic assembly technology aircraft assembly fixtures based on assembly features is researched. A binary tree assembly model is used to express the assembly information of the frame for aircraft assembly fixtures, the automatic assembly between the frame, the aircraft and the adjustable bearing is completed within the three steps: distribute, obtain and evaluate assembly feature. Finally, the efficiency of the frame assembly design is proved. 4The frame interpart modeling technology for aircraft assembly fixtures is researched, the intersection methods are concluded and the arithmetic of the single-cut, double-cut and inter-cut intersection is proposed, the interpart fast modeling of the frame design for aircraft assembly fixture come true. 5Based on the researches mentioned before, a sub-system of frame fast design for aircraft assembly fixture is developed on CATIA. The sub-system is used to design the aircraft assembly fixtures in a large aeronautics corporation and make a good- effect.

论文的主要工作如下： 1研究了飞机装配型架骨架设计重用技术，在总结归纳骨架线框结构类型的基础上，应用模板驱动的方法建立了骨架线框库，通过骨架线框零件的实例化和离线编辑实现骨架线框的重用，有效利用设计资源，减少重复劳动； 2提出穷举几何对象的装配特征直接获取方法，遍历零件模型的几何对象，从中捕捉所需装配特征，该方法简捷、高效；提出向装配面投影的装配特征间接获取方法，该方法在现有特征基础上生成装配特征，解决了部分装配特征难以直接获取的问题； 3研究了基于装配特征的飞机装配型架骨架自动装配技术，采用一种二叉树装配模型表达骨架的装配关系，并通过装配特征的分配、获取和赋值三个步骤，实现了骨架分别与飞机产品和可调支承的自动装配，避免了繁琐的人工交互操作，提高了骨架设计的效率和规范化程度； 4研究了飞机装配型架骨架零件间建模技术，在总结归纳骨架元件相贯处理方式的基础上，提出了骨架元件单剪切相贯、双剪切相贯和互剪切相贯的实现算法，简化了骨架相贯处理的过程； 5基于以上研究，在CATIA平台上开发了飞机装配型架骨架快速设计子系统，并应用于某大型航空企业的装配型架设计，提高了设计效率和设计质量。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。