不连续函数

It is the first important step in video analysis and will directly affects the effectiveness of indexing Shot boundary detection is one of our major research interests and we will tackle the following existing problems the ambiguity between gradual change and camera motion, the discontinuity during gradual change, false detection caused by illumination variation and flashlight, automatic threshold selection Firstly, we discuss shot boundary detection in non-compressed domain In chapter 2, we compare some of the commonly used detection methods which are based on frame difference and point out that single feature will not generate good results As a conclusion, we use fuzzy logic to combine multiple features Presently, most frame difference based shot boundary detection algorithms rely on threshold and hence the selection of such thresholds will greatly affect the performance of boundary detection We propose a membership function to define frame difference and calculate the membership with self adaptation according to the statistic distribution of frame differences to satisfy different type of video clips Experiments show that the proposed fuzzy shot boundary detection algorithm can be used with different video types and has a high detection precision and recall In chapter 3, we discuss model-based shot boundary detection algorithms regarding chromatic and spatial editing effects such as fade-in, fade-out, dissolve and wipe Various parameters are proposed to better describe the characteristics of each editing type.

镜头边界的检测是把视频自动地分割为一个个镜头，作为基本的索引单元，因此它是视频分析重要的第一步，直接影响到视频检索的成败。镜头边界的检测是本文研究的重点之一。目前镜头边界检测算法主要存在以下问题：渐变与镜头运动难以区别；渐变过程中的不连续与停顿、光照条件的变化及闪光灯等特殊情况会引起误检测；自动选择阈值比较困难等。本文首先针对非压缩域视频进行了镜头边界检测的研究。在第二章中我们采用了比较流行的基于帧间差的方法。在比较各种帧间差计算方法的基础上，指出使用单一的特征难以取得很好的检测效果，提出用模糊逻辑综合使用各种特征。目前大多数基于帧间差的镜头边界检测算法都采用阈值法进行镜头转换的判别。阈值选择的误差对检测性能有较大的影响，本文提出用隶属度函数定义帧间差较大、中等较大和较小等概念，并根据帧间差的统计分布自适应地确定隶属度，以适应不同类型的视频片断。实验结果表明这种基于糊逻辑的镜头边界检测算法可以适应不同的视频，并具有较高的检测精度和检出率。在第三章中采用基于模型的方法进行镜头渐变的检测，研究了淡入／淡出、慢转换和扫换的模型。

The impenetrability of the star cores is known to cause a discontinuity in the osmotic pressure showed through a peak in the scattering functions.

另外，还研究了不同拉伸状态下，不同官能度f的星型高分子链的散射因子，星型高分子"核心"的不可穿透性导致了渗透压的不连续，反应到散射函数曲线上有一个峰值。

The nodal Green's function methods based on the Neumann boundary condition (the second kind boundary condition) in Cartesian geometry is developed and evaluated in this thesis.

本论文发展了Neumann边界条件格林函数节块法NNGFM，并根据先进的组件均匀化技术-广义等效均匀化理论〓引入不连续因子，消除组件均匀化带来的误差，大大提高计算精度。

The total optimization ability is improved.4. The structure in problem can be difficultly reflected by use of binary code. GA local searching ability is quite worse for continuum function.

二进制编码有时不便于反映所求问题的结构特征，对于一些连续函数的优化问题，GA的局部搜索能力也较差。

A new dynamic sliding mode control law is presented for tracking control of robot manipulator.New switch function based on backstepping method is designed to transfer discontinuity to derivativeness of the control law,so that the chatterings of control can be eliminated.

针对机器人跟踪控制问题，设计了一种新型的动态滑模控制器，采用反演方法设计一种新的切换函数，将不连续项转移到了控制的一阶导数中，得到了输入的平滑性的动态滑模控制律。

The fact that namespace definitions can be discontiguous means that we can compose a namespace from separate interface and implementation files. Thus, a namespace can be organized in the same way that we manage our own class and function definitions

命名空间定义可以不连续意味着，可以用分离的接口文件和实现文件构成命名空间，因此，可以用与管理自己的类和函数定义相同的方法来组织命名空间

However, the vast computation cost, the implicity of object function and discontinuousness of search space limit the application of traditional gradient-based optimization methods.

然而，由于计算时问长，目标函数无法显式表述，搜索空间可能不连续等因素，很难直接基于数值仿真通过梯度法进行设计优化。

In this project, we have deduced the joint inversion model of geodetic data, seismic data and geological data considering about their weight ratio; presented Bayes-iterative search inversion algorithm which improved on the traditional Bayes algorithm and strengthen the stability of inversion solutions; enriched and developed geodetic joint inversion theory and method of tectonic stress field; joint with geodetic, seismic, geological and geophysical data, we have inverted the temporal and spatial variation characteristics of crustal deformation of active tectonic blocks in North China and the present-day cruatal movement and strain-stress field by FEM, DDA and bi-cubic spline function fit method; especial for the crustal deformation result in some typical areas, we have presented geodynamical interpretation and done some seismic dangerous estimations.

大地测量联合反演构造应力场属于大地测量与地球动力学和地震学的交叉研究领域，主要内容是研究用大地测量地壳运动监测数据定量研究地壳运动和变形的动力学问题及分析预测地震，本项目推导了兼顾权比确定的大地测量、地震和地质三类数据的联合反演模型；提出贝叶斯-轮回搜索反演算法，改进传统的贝叶斯方法，改善反演解的稳定性；丰富、发展了大地测量反演构造应力场理论及方法；联合大地测量、地震、地质、地球物理数据采用有限单元法、块体不连续变形分析法和双三次样条函数拟合方法反演分析了华北地区活动地块运动时空变化特征以及中国大陆现今地壳运动与应变-应力场，对典型地区地表形变结果进行地球动力学解释并进行地震危险性估计。

Because the genetic algorithm is a global stochastic searching method, and even if the defined fitness function is indifferential or uncontinuous, it is also possible to obtain the global optimal solution with a considerable probability. Thus there will be widely practical application in the engineering field.

由于遗传算法是一种全局随机搜索方法，即使定义的适应性函数不可导或不连续，它也可能以很大的概率求得全局最优解，因而在工程领域中将有十分广泛的实际应用前景。

In the upper bound approach, the velocity of each node are seen as unknown quantity, with the conditions of flow rule, velocity discontinuity, velocity boundary, the energy work equation considered, then the strength safety coefficient of slope, and the corresponding kinematically admissible velocity field are obtained.

在上限法中，以结点速度为未知量，根据单元塑性流动约束条件、速度不连续约束条件、速度边界约束条件，以及由外功功率与内功功率相等条件得到的目标函数，求得了强度储备系数的上限值及相应的机动容许位移场。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。