几何化

Aerial photographs were digitized, geometrically corrected and mosaicked before overlay analysis.

航空照片经由电脑影像扫描数化后，完成几何校正、重新取样与影像镶嵌等前处理，再进行套叠变迁分析。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

The FFR of plasma nitrided titanium alloy then post treated by SP is higher than that of shot peened one, even under high contact stress concentration, and so does the plasma NiCr alloying then SP one.

以SP作为钛合金等离子氮化层的后处理，即使在边缘应力集中程度严重的接触几何条件下，其FF抗力仍优于单一喷丸者。

Not the transformation stress but the initial toughness is the controlled factor for the roughening behavior of free surface during plastic deformation. This phenomenon is discussed in terms of geometrical and physical effect of plastic deformation.

而且初始表面初粗度，而不是相变应力是控制表面粗糙化速率的主导因素；用变形的几何作用和物理作用对此进行了解释。

The clarity of image embeddedwatermark is good. At the same time, it is immune to translation, rotation, scaling, cutting, JPEG loss compression, median filter, and sharping.

同时水印对平移、旋转、缩放、剪切几何变换以及JPEG有损压缩、中值滤波、锐化、等常规图像处理手段具有较好的鲁棒性。

Cutting process of soft tissue and organs is very important in virtual surgery simulation. Tetrahedron is widely used to construct the geometric model of virtual organs. Efficient methods must be developed to split or merge tetrahedrons in order to adapt to topology changes during cutting process. The main parts of this thesis are the two chapters on "Reconstruction of Tetrahedrons" and "Stability of Tetrahedrons".Main research work I have done is listed as follows:1 Reconstruction of Tetrahedrons.

人体软组织及器官的切割仿真是虚拟手术仿真的重要组成部分，软组织及器官的几何模型普遍采用四面体模型，切割的同时，软组织及器官的拓扑结构发生变化，模型中的部分四面体基元必须能够通过分裂或合并以适应上述变化，医学数据在三维场景中的交互和可视化是手术仿真的基本要求，因此，第二章&四面体重构&以及第三章&四面体单元稳定性&是本文重点讨论的两个部分。

In the first place, the normal flexible body dynamics modelling method of continous system is built based on hamilton principle. And then taking the flexible beam tunning in the horizontal plan for example, in the assumption of Euler-Bernoulli beam,the identical linearilized vibration differential equation is deduced according to geometry constraint conditions .

首先基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法，进而以水平面内作大范围回转运动的柔性梁为例，在Eu1er-Bemoulli梁模型的假设前提下，根据轴向不可伸长的柔性梁的几何约束条件，推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程。

Main works in this paper include:(1) Studies on pipelines network underground" spacial data model and data structure;(2) Analysing and extracting the data of cities" pipelines network underground;(3) Methods of development with OpenGL in VC++;(4) Measures of pipelines network undergrounds realizition, such as division of map layer, foundation of coordinate system, real-time roaming about and so on;Finally, works that has been done in this paper is summarized, and prospect of the problems should be gone deep into in future is made, integrated with the experience and deficiency in this paper.

论文所做的工作主要有：(1)地下管网空间数据模型与数据结构的研究；(2)管线源数据的分析与提取；(3)地下管线可视化的方法，例如图层划分、坐标系的建立、地图投影的定义、漫游中的实时处理技术以及地下管线的3D几何造型技术等；(4)VC++中OpenGL开发和运用的方法；最后对本课题所完成的实际工作和所取得的结论性成果进行了概括和总结，结合在研究过程中的体会和不足，对以后的研究中需要进一步深入研究的几个方面做了一个简单的展望。

In order to satisfy the user cognitive demands,the simplification map are used to provide the whole route information which includes only simplification route and the landmarks on the way,and the map display contents are visualized depending on the placename"s ranking;the paper also studies the different simplify principles from traditional map synthesis,that is ,releases the veracities of route geometry elements such as length and angle for the sake that the relative user"s task cognitive informations are displayed with clarity and legible on the limited screen;researches on the route simplify algorithms that preserving the topology-coherence.the paper exploits the application software for LBS navigation service.

在满足用户当前认知需求前提下，提出用简化路线图提供整个路线信息，简化图中包含已简化过的路线和路线两边的地标，而且地图内容可视化依据于地名等级；研究不同于传统制图综合原则的路线认知简化原则，即放松路线中几何元素的准确度，以确保与用户任务相关的道路认知信息最大清晰度地展现在有限屏幕上；研究保持拓扑一致性的快速路线简化算法。

The pulsed power supply used to perform the experiments consisted of three modules storing 800kJ as a driver for an ablation-controlled arc plasma generator. A sequence of tests in which the capillary radius, length and ablated material are varied and in which the capillary power dissipation levels are varied in a certain range are discussed in order to determine the impedance matching between the discharge and the power source.

利用一个总贮能800kJ的模块化电容基脉冲功率源系统为消融控制电弧等离子体发生器强流放电提供电能输入，在一定的参数变化范围内，实验研究了脉冲功率源初始放电参数、等离子体发生器几何参数以及消融材料对消融控制电弧放电特性的影响规律。

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 。