邻域空间

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

On the basis of determining interpolation neighborhood, this paper factures many geochemistry plots by using more spatial interpolation of the deep penetrating geochemical data in the study area. The methods include inverse distance weighted interpolation, global polynomial interpolation, local polynomial interpolation, radial basis function, simple Kriging and universal Kriging, etc.

文中在确定插值邻域的基础上，应用多种空间插值方法对研究区的深穿透地球化学数据制作了多个地球化学图，如反距离加权插值法、全局多项式插值法、局部多项式插值法、径向基函数法、简单克里金法、泛克里金法等。

Based upon the idea of space partition and object decomposition, topological components of an area object with holes are defined by the use of the concept of neighborhood in the point set topology, which is a natural extension of the definitions for topological components of a simple area.

本文基于空间划分和目标分解的思想，利用点集理论中的邻域概念详细分析和描述带孔洞面目标的点集拓扑分量，这种描述方法实质上是简单面目标点集拓扑分量描述的一种自然延展。

In this algorithm, first, the nonlinear kernel mapping is used to map the face data into an implicit feature space, and then a linear transformation which produces orthogonal basis functions is performed to preserve locality geometric structures of the face image.

该算法首先利用核的方法提取人脸图像中的非线性信息，并将其投影在一个高维非线性空间，在保证各向量正交的同时，通过局部保持投影算法做一线性映射，从而更好地提取人脸非线性局部邻域结构特征。

A novel three-dimensional localization method is proposed. Firstly, the tomato effective centric spots are obtained from the left multi-sensor fusion image and the right multi-sensor fusion image. Then, being looked as symmetries, image pairs other point to point correspondences are searched from two directions by pixel neighbor area correlation values by using the polar line restraint, the unique restraint and the disparity gradient restraint.

即从双目定位的几何模型出发，在双目匹配搜索中，提取多源传感融合图像的番茄凸壳有效形心点，采用极线约束、唯一性约束进行立体视觉图像的特征点及其邻域灰度相关的双向匹配，利用体视原理获取唯一被测目标的空间坐标。

Moreover, it is discussed how to use the stress function, the residual variance and the variance of distance ratios to select the neighborhood parameter and the dimension of the low dimensional space.

同时还讨论了如何利用应力函数、剩余方差和距离比例方差来确定邻域参数和低维空间的维数。

In combination of rough set theory and the distribution information of the land cover spectral feature space,a spectral feature neighborhood based tolerant rough set classification method is proposed to handle the uncertainty in the process of satellite remote sensing data classification.

结合粗糙集理论和遥感数据中地物光谱特征空间分布信息，提出了一种基于光谱特征邻域的容差粗糙集分类方法，用来处理卫星遥感数据分类中的不确定性问题。

We use a size changeable adjacent field to describe the topological structure of 3D unorganized points in our algorithm. It can offer essential dynamic information for tessellation and points normal.

算法采用可以控制大小的邻域作为空间散乱数据点的拓扑关系的几何描述，为网格划分和点的法向量的几何描述提供了必要的动态几何信息。

Motivated by these researches, the thesis proposes an original paradigm that implements IBMR in wavelet domain. In general, IBMR means performing a set of operations in image space, such as warping, correspondence searching, mosaicking, interpolation, and so on.

通常意义下的IBMR是在图象空间中完成一系列的变换、对应匹配、拼合、插值等操作，这些操作的复杂度不仅跟图象分辨率有关，往往还与计算象素的邻域大小、图象中的特征多少、参考图象的多少等因素有关。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。