几何化

This paper presents an approach to 2-D geometric map building and uncertainty representation under completely unknown structured environment.

本文主要研究完全未知结构化环境下的移动机器人二维几何地图构建及其不确定性描述问题。

Compared with traditional DEM or TIN based methods, this pure vector approach obtains not only the topological structure of drainage system in planar graph, but also the valley distribution polygon range. Depending on geometrical computation and judgment of vector line, polygon, the structured properties in drainage representation is enhanced, avoiding the case of noise disturbance in DEM based method. The core algorithm makes use of the ability of Delaunay triangulation in detecting hierarchical structure of each contour line.

中文摘要：基于Delaunay三角网模型在矢量等高线基础上通过弯曲特征分析，给出了一种地形结构特征提取及谷地树组织的方法，与传统的基于DEM或TIN数据结构提取地形特征的方法相比，该方法不仅得到了谷地系统在平面图上的拓扑结构，还获得了河谷在空间分布上的汇水范围，依托矢量线、多边形的几何关系判断，增强了谷地树组织中的结构化，避免了DEM方法中的噪音干扰，方法的核心是Delaunay三角网在单根等高线弯曲深度表达上的层次结构识别。

One of the greatest virtues of geometrical model is that it can change the topology freely.

近十年来，该方法的出现推动了非参数化的几何活动轮廓模型的研究。

The method that combines the effective - field renormalization group with the discretized path - integral representation is extenged to study phase transition of the transverse Ising model in a quantum - spin system on the plane triangular lattice.

将离散路径积分表示下的有效场重整化群技巧推广应用于平面三角晶格上量子自旋横向Ising模型的相变研究，在这个方法中，注意区分了两种具有相同配位数而不同几何构形的晶体，并且考虑了起伏的影响，在二阶累积量近似下，得到了接近于精确解的临界值。

In addition, simplex algorithm is used to inverse calculation the material parameters and thickness from experimental data and the results are quite good.

本文利用已发展成熟的弹性波理论，针对均质等向性弹性体，以所得的理论正解作为反算过程中的正算解，并利用一种几何搜寻的最佳化方法同时反算材料参数及厚度，反算过程中所使用的材料参数均为未知，仅须给予几组材料的预测值。

According to such relation, the inverse distance power method is used to give the spatial interpolation to reveal the image rectification accuracy. Based on above, the visualizations of accuracy are used to give the detail description of the quality of image rectification.

依据距离倒数加权法空间插值理论，采用多种可视化方法对影像纠正的质量进行描述，便于更好地了解影像几何纠正整体精度，对控制点或纠正方法的选取起到一定的指导作用。

Jussi Jannes combined the featured vocabulary of geometry, trunk as wall and color with design method including the contrast, group planting and architectural method, then created diverse space and penetrated visual landscape.

扬内斯擅长运用几何形、树干"墙"和色彩等词汇，通过对比、单元式种植和建筑化的设计方法，创造丰富的园林空间层次和相互渗透的视觉景观。

Multi-output combinational logic functions are located on the Karnaugh map and the common parts of each function overlap on this map, which makes it easier to find congener common miniterms and merge them.

该化简法要求用一张卡诺图表示多输出逻辑函数，使得它们的共享部分在几何上相互重叠，为辨识同类共享最小项和合并提供了方便。

The result shows that there is no lateralization in recognizing geometric figures.

结果表明对于几何形状的认知没有表现出偏侧化。

The paper resolves the difficulty of time and space integration through the geometry principle based on the hypothesis of the linear density distribution that is adopted here.

本文在推导过程中采用了稠密车流线性化密度分布的假设，并在此基础上利用几何原理解决了时空积分的困难。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。