推出了一套几何约束求解的方法。
This paper reports a method of finding the solution on the basis of geometric constraint.
将此混合算法应用于几何约束求解中。
This algorithm is applied into the geometric constraint solving.
将几何约束问题转化为数值优化问题。
It transforms the geometric constraint solving into the numerical optimization solving.
将几何约束问题转化为数值优化问题。
We transform the geometric constraint solving into the numerical optimization solving.
提出了利用驱动树分析几何约束的方法；
The geometric constraint is processed by the driven-tree analysis.
将变动几何约束网络应用于夹具误差预测。
The variation geometric constraint net is applied into fixture error forecasting.
几何约束系统可以分为陈述式和构造式两类。
Geometric constraint systems can be divided into two categories: declarative and constructive systems.
几何约束求解是基于特征设计系统的核心算法之一。
Geometric constraint satisfaction is one of the kernel algorithms in feature based design system.
用户也能够定义必要的几何约束来进一步控制曲面外形。
The user is also able to define necessary geometric constraints, so as to further control the surface shape.
最后，给出了完全约束的互参考变动几何约束分解规则。
Finally, well constrained decomposition rule of cross referenced VGC is presented.
通过设计分解可以提高几何约束求解的效率和数值稳定性。
Design decomposition is a highly effective way to improve a geometric constraint solver to make it efficient and robust.
本文首先对不考虑几何约束的一般连续体拓扑优化进行了研究。
In this paper, firstly common topology optimization of continuum without geometrical constraints is studied.
但理论研究表明，只有特定的几何约束结构，才具有射影不变量。
However, researches show that only some special geometric constrained structures possess projective invariants.
以火箭发动机典型的几何约束焊缝为例，提出了通用的求解思路。
This paper proposed a general idea for the resolution of this type of question by the example of the typical seam under geometric restriction of missile eng.
提出了一种在对极几何约束下来求取三角形网格结点位移的方法。
A method to determine mesh node displacement using Epipolar geometry is proposed.
本章为下一章的变动几何约束网络理论的建立奠定了坚实的数学基础。
The chapter establishes mathematic basis of the theories of variational geometric constraints network, which is presented in the following chapter.
相应的广义质量矩阵既决定于体系的质量分布，又决定于几何约束特性。
The corresponding generalized mass matrix depends on both the mass distribution and the geometrical constraint characteristics of the system.
相应的广义刚度矩阵既决定于体系的刚度特性，又决定于几何约束特性。
The corresponding generalized stiffness matrix depends on both the stiffness characteristics and the geometrical constraint characteristics of the system.
提出变动几何约束网络概念，并将此网络应用于计算机辅助公差设计领域。
Concept of variational geometric constraints network (VGCN) is presented, and application of the network to computer aided tolerancing is studied.
通过约束传播分析，为几何约束求解引擎的实现提供了理论依据和快速算法。
All these measure along with propagation analysis of constraints established the theory and quick solution of geometric constraint engine.
这种方法能直接求解具有应力约束和几何约束的离散变量结构优化设计问题。
The structural optimum design with discrete variables under stress and section size constraints is performed using this method.
本文所述的位移矩阵法是运动方程——几何约束方程与位移矩阵的综合运用。
The displacement matrix method discussed in this paper is a CAD method for the jib design.
通过几何哈希技术加强兴趣点间的几何约束，以增加正确匹配的兴趣点对数量。
The geometry hashing technic is used to enhance the geometry constraint of interest points in order to improve the matching result.
实验验证了文中提出的几何约束结构具有不随物体成像视点改变的射影不变量。
The experimental results show that the proposed structure has projective invariant which does not change with the variation of the viewpoints.
实际应用表明，此方法结果正确，可应用到各种几何约束焊缝的焊枪姿态分析中。
Practice experiment showed that this method is right. This method can be applied in analysis of all kinds of poses of torches under geometric restriction.
我们将既满足边界几何约束又满足边界拓扑约束的网格剖分称为边界一致网格剖分。
Boundary conformity mesh generation must satisfy not only the boundary geometric constraint but also boundary topology constraint.
研究结果表明：接触应力、上扣扭矩、螺纹啮合时的几何约束，是齿面粘扣的力学要点。
The research result states that the contacting stress, thread torque and thread joggle geometry restriction are mechanical points of the sticky thread.
参数化设计的关键是几何约束关系的提取和表达，几何约束的求解及参数化几何模型构造。
The main problems of Parameter design are abstraction and expression of the geometric constraint relationship, solver of geometric constraint and creation of geometry model.
作者工作的意义在于揭示了在适当的几何约束下，自组装形成的花样是总应变能最小的结果。
The significance of our work lies in the revelation that, under proper geometrical constraint, the various patterns can develop through minimization of the strain energy.
作者工作的意义在于揭示了在适当的几何约束下，自组装形成的花样是总应变能最小的结果。
The significance of our work lies in the revelation that, under proper geometrical constraint, the various patterns can develop through minimization of the strain energy.
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