ESPO(Euclidean space Shortest Path with Obstacles) is the generalized issue of Shortest Path issue, which is also the basic key issue in network analysis. It is the basic academic issue in graph theory、S-computational geometry, network design and optimization.
欧氏障碍空间的最短路径问题(ESPO：Euclidean space Shortest Path with Obstacles)问题是网络分析中基础和核心问题一最短路径问题的更广义问题，是图论、S计算几何、网络设计、网络最优化等领域的基本理论问题，其中三维ESPO是NP-难问题，至今无其它有效解。
A two-dimensional fractal pore network model of porous media was constructed based on the theories of homothetic reduction, fractal geometry, Voronoi diagram, along with the structural parameter of potato.
构建的网络模型考虑了影响多孔介质干燥的孔道微细结构特征，模型参数能够很好地反映多孔物料的微观结构，且获得了合理的分形维数。
The network structure of coordination polymer may be looked upon the combination of crunodes of ligand with each link numbers and metal cation. So the geometry conformation of ligand and coordination conformation of metal cation have important influence On the whole structure of coordination polymers.
由于配位聚合物的网络结构可以看作是具有各自连接数的配体结点和金属离子结点的组合，因此配体的几何构型和金属离子的配位构型对整个配位聚合物的结构有决定性的影响。
In this paper chip shapes were recognized by using of radbas neural network. We put forward area ratio feature, Euler number feature, etc. geometry feature of chip shape image and thing of those features as inputting vector of neural network. Adopt radbas neural network and training the network using RLS.
研究了径向基函数神经网络在硬质合金刀具切屑形态图像识别中的应用，提出了面积比、欧拉数、分散度等硬质合金刀具切屑形态图像的几何特征，以上述特征作为神经网络的输入矢量，利用径向基函数网络，采用了递推最小二乘法训练该网络。
In this paper, the noise of chromatographic signal has been analyzed by fractal geometry, and the Elman neural network trained in sections has been used to filter noise.
俞蒙槐 ，胡上序，陈锋分析了色谱信号噪声的分形特征，采用分段训练的Elman递归神经网络除噪。
Therefore, one cell signal network including 933 points and 6825 lines was created. After calculate the static geometry quantity of this network, it was found that this network is a scale free network followed BA model, which distributed as Power-law.
通过计算此网络总图静态几何量，发现该网络系具幂律形式的度分布、遵循BA模型的无尺度网络，其核心节点正是信号转导途径中最为活跃的几种蛋白质。
Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes.
~ 90年代初以来的工作、微分几何和黎曼高斯已经发展成一个巨大的网络的思想和方法，包括当地的因素，例如差不变量与喷气机以及全局观念，例如莫尔斯班原理和特点。
The development of science has been already get rid of singling and isolating stage, the ties link between different subjects no more than a reciprocal network, which is strong correlation with others. Like economics, the achievement of economic study can not live without contribution of geometry and algebra. Thus a discipline may have an influence on many courses, if government one-sided cease financing an academic subject, which may profound impacts on other science realm as if butterfly effect.
人类科学的发展早已告别了单一和孤立的阶段，各学科之间的关系就如同一个网络，是紧密相连的，就如同经济学，它的发展与几何学，代数学紧密相关，所以一个学科的发展会影响多个学科，如果单一的对某一学科停止资助，正如同蝴蝶效应般，也可能造成整个科学界造成重大影响。
In this paper, the author adopted different methods to discuss resolution including geometry optics, Gaussian beam and vector diffraction integration. We used ray tracing to analyze focal area`s position and made further analysis of the affection with horn position`s change. Through analyzing and experimenting, we discussed beam feeding network and multiple beam`s coupling. We analyzed the affection on resolution induced by horns intervals`change, furthermore, we proved this affection by experiment. At last, we discussed the spillover and illumination level. With experiments of single beam and multiple beam lens antenna, we got results that their specifications achieved the project goals.
本文采用几何光学法、高斯波束和矢量衍射积分法分析了焦面上的分辨率；用射线追迹对馈源放在不同位置时，对焦斑位置的影响进行了分析；多个馈源之间的位置变化对分辨率的影响进行了仿真，并在试验中得到了满意的结果；分析了多波束天线的不同阵列对分辨率的影响；讨论了馈源尺寸变化对分辨率的影响；对多波束天线的馈电网络、馈源间的耦合关系进行分析和实验验证；分析了透镜天线的溢出效率和边缘电平。
In order to obtain progressive network transmission of point cloud surfaces, an average pyramid image structure has been improved. Consequently, the progressive network transmission of point cloud surfaces is completed by application of the progressive network transmission of the geometry image.
为了实现渐进传输，对平均金字塔层次结构图像进行了改进，通过几何图像的渐进传输来实现点云曲面的网络渐进传输。
This paper proposes a geometry image representation based progressive transmission of point cloud surface on the network.
文章提出了基于几何图像表示的点云曲面网络渐进传输方法。
This thesis proposes a progressive transmission of point cloud surfaces on the network based on geometry image representation.
点云曲面的网络渐进传输，基于点云曲面的复合几何图象表示。
It was the first time that the gradient concept of geometry was applied to the wireless sensor network localization algorithm. The method for analyzing the position relationship between anchor nodes has been investigated and given the location of geometric algorithm.
首次将几何学中的斜率概念引入到无线传感器网络定位算法中，提出了一种分析锚节点之间位置关系的方法，并给出一种基于几何学的定位方案。
Owing to the complicated variable rule of CMMs geometry error, it's difficult to convergence for using common BP neural network model arithmetic with a slow velocity.
由于坐标测量机几何误差变化规律复杂，采用一般的BP神经网络模型算法，速度慢且难以收敛。
Compression of geometry instruction stream in distributed parallel rendering systems can alleviate network bandwidth bottleneck. LZW method is used in op codes compression.
对分布式并行绘制系统的几何指令流进行压缩能缓解网络带宽瓶颈。
The fuzzy neural network model is used to identify inverse dynamic model of redundant variable geometry truss manipulators, and conventional feedback controller is applied to compensation of external interference and close loop control.
利用模糊神经网络模型来辨识冗余度变几何桁架机器人的逆动力学模型，用常规反馈控制器完成外部干扰的补偿和闭环控制。
Pipeline computational model and CAA interfaces are studied, and extracting technology of components geometry information and pipeline components topology information is developed. Several universal search strategies of pipe network topology are excogitated due to the second technology.
研究管路计算模型的需求和CAA接口，开发出元件几何信息获取技术和管路元件拓扑信息获取技术，并由元件拓扑信息获取技术，设计出几种通用的管网拓扑信息搜索算法。
The network of the coordination polymers is built by the ligands with their own geometry characters and metal cation which determine to the shape of the coordination polymers together.
具有各自几何特征的有机配体和金属离子通过自组装形成了配位聚合物的网络结构，它们共同决定了网络结构的形状。
With the development of data acquisition equipment, computer software/hardware, and computer network, digital geometry processing has become the advanced research field and popular topic in Computer Graphics.
随着数据获取设备、计算机软硬件条件以及计算机网络技术的不断发展，数字几何处理已经成为计算机图形学等学科的前沿研究领域和热门课题。
A Study of Coordinate Measuring Machine Geometry Error Model Based on Neural Network
基于神经网络的坐标测量机几何误差模型研究