算法化

Based on the characteristic of multi resolution of wavelets analysis, a effective method for displaying any cross section from coarse to fine resolution is presented; Based on OpenGL, the paper improved Ray-Casting arithmetic and footprint arithmetic considering the characteristic of seismic data; After introducing the characteristic of geology data and the process of seismic interpretation, the paper presents a theory frame of 3D geological interpretation software and partly realize the frame.

本文首次利用小波变换实现了三维地震数据体的快速多分辨率显示；针对地震数据体的特点，提出了基于OpenGL的改进光线投影法的快速算法及改进的脚印算法；实现了地震数据体的切割、面状地质体的构造及面状构造与地震数据体的联合显示，动画效果的形成等三维地震数据体显示效果；分析了三维地质体的特点及常规地质解释过程的特点，提出了三维地学可视化软件的体系结构，并实现了其中主要功能，取得了良好的效果。

At first, it analyses the visibility processing of complex scene, including: spatial partition technology BSP, quadtree, octree and equational octree which can optimize scene, category of quick visibility estimation algorithm in the 3D scene, portal which can accelerate rendering, level of detail and mesh simplification based on quadric error metrics used to simply models in 3D scene.

首先分析了复杂场景的可视化处理，包括优化场景渲染的空间剖分技术：BSP树、四叉树、八叉树、均分八叉树；其次是三维场景快速可见性判断算法的分类，可加速渲染的入口技术；最后是用于三维场景中模型简化的两个算法：层次细节模型简化技术和基于视点的二次误差度量网格简化。

This approach is based on the equilibrium principle and combines the finite element method and the stream tracing algorithm.

根据内力路径的定义，推导了一种基于平衡原理、结合有限元法和流线追踪算法确定弹性结构可视化内力路径的算法。

In the first place, on the base of studies concept ascending and attribute dependency, we forward a method to select attribute value partition, which can effectively resolve the problem of minimum faith and minimum support, in order to induct potential knowledge from standard discrete symbolic data, the dissertation studies join operation for generating candidate set and delete operation for deleting redundant equivalence class, and propose an recursion algorithm to realize highly generalization of data.

首先在研究概念爬升方法和Rough集理论中属性隶属度原理的基础上提出了一个划分属性值区间的算法，该算法能够有效的解决最小支持度问题和最小信任度问题。进而为了从已离散化的数据中概括出潜在的规则，研究了生成侯选集的交运算方法和排除冗余等价类的删除方法，然后利用循环推进机制实现对数据的概括。

Since the load of the node is proportional to the ID space that the node is responsible for, the ISLB algorithm distributes ID space based on the node capacity. Because the load of the node also increases with the number of fan-in edge of the node, the LSLB algorithm distributes the load by redirect the fan-in edge of the node. Both the ISLB algorithm and the LSLB algorithm are able to balance the load efficiently.

在结构化对等网络中，对等节点的负载与该节点所负责的ID空间的大小成正比，ISLB算法按节点的处理能力分配ID空间；在另一方面，由于节点的负载随该节点入度数的增加而增加，LSLB算法统计节点各入度的负载和节点的总负载，并通过入度的转移使对等网络负载平衡。

Jacobian, Hessian Matrix Properties, Sensitivity Analysis w.r.t Design Variables, Fixed Parameters and Constraints, Normalization, Finite Difference Approximation, Automatic Differentiation, ANOVA, Adjoint Methods, Examples

Jacobian， Hessian矩阵属性，灵敏度分析w.r.t设计变量，固定参数和约束，归一化，有限差分逼近算法，自动差分算法，ANOVA，伴随矩阵法，举例

In this thesis, we mostly research the initialization strategies and robustness of the algorithm of multivariate Gaussian mixture models.

本文主要针对多元高斯混合模型聚类算法对于初始值选择的敏感性，研究改进了文献4】提出的四种多元高斯混合模型聚类算法的初始化策略。

The nonsmooth damped Newton method is given based on the definitions of the generalized derivative.

数值试验结果也表明该算法同光滑化算法同样有效。

NET grogram language to develop thisseparating system and makethe varied arithmetic some individual processing moddes.Fromtheopen,read and storage of the image to the image segmentation,feature selection until thejudgment,this system all utilize the modularization program method.

NET来开发和实现了该系统，将各种算法分别做成一个个单独的处理模块，从图像文件的读取、保存到图像预处理再到图像分割、特征提取直至判断识别都采用了模块化编程方法，这样不仅便于算法实现，还可使操作界面清晰明了，更有利于将来系统的维护和升级。

On the basis of deformation Hermite polynomial, secondary Schmidt orthogonal method and combination algorithm work together to generate UWB pulse.

在变形Hermite多项式的基础上，将二次Schmidt正交化算法与组合算法结合，使得生成的脉冲不仅正交，而且具有很高的频谱利用率。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新