本文第一章为绪论，简要回顾几何设计与计算的研究概况。
In this paper, the first chapter is introduction, in which we briefly review some know-how of geometric design and calculation.
采用基于约束驱动的几何推理和自由度计算方法，设计了约束检查策略与算法，解决了过约束与欠约束检查问题。
This paper introduces a method which uses geometry reasoning & degrees of freedom calculating based on constraint driven to solve the problem of checking over constraint & under constraint.
计算得到成桥状态的几何线形控制点标高与设计标高相比，误差很小。
The error between the calculated values and the design ones of elevations at controlling points in the designated status is very small.
取得的结果不仅可直接应用于避障路径规划算法的设计与实现，而且还可应用于计算几何中相关问题的求解。
The obtained results can not only been applied to the design and implementation of algorithm for avoidance obstacle path planning, but also been used to solve the problems of computational geometry.
几何造型是计算机辅助几何设计和计算机图形学的一项重要内容，而曲线曲面的设计与造型又是几何造型的一个主要内容。
An important topic of Computer Aided geometric design and Computer Graphics is geometric modeling, whose major components are free-form curves and surfaces design and modeling.
本文介绍用计算机求解画法几何中直线与直线、直线与平面及平面与平面的相对位置问题的方法和程序设计。
Solutions to problems in descriptive geometry such as finding the relative positions between straight lines between a straight line and a plane, and between planes are found by computerized graphics.
本学位论文主要介绍一种用于符号几何计算、几何推理以及视化几何对象的面向几何对象语言的设计与实施。
This thesis presents the design and implementation of a geometric-object-oriented language for symbolic geometric computation, reasoning, and visualization.
构造了双螺旋转子几何特性数字化设计软件方案，实现了双螺旋转子几何特性的自动计算与输出。
Digital design software scheme of the geometry character is set up, and automatic calculation and output of the geometry character of the twin - helical rotors is implemented.
在国家体育场设计中，利用CATIA空间建模软件建立了国家体育场大跨度钢结构精确的三维空间几何模型与计算模型。
In the design of the National Stadium, the precise 3d geometrical model and calculation model for large-span steel structure was established by use of CATIA dimensional modeling software.
在国家体育场设计中，利用CATIA空间建模软件建立了国家体育场大跨度钢结构精确的三维空间几何模型与计算模型。
In the design of the National Stadium, the precise 3d geometrical model and calculation model for large-span steel structure was established by use of CATIA dimensional modeling software.
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