SOCIAL RELATIONS SPATIALLY FIXED: CONSTRUCTION AND MAINTENANCE OF SCHOOL DISTRICTS IN SAN ANTONIO,TEXAS

ABSTRACT. More than 140 court cases filed in the United States between 1970 and 2003 argued that unacceptable and unconstitutional funding disparities exist among school districts in most states. In those arguments, stories, statistics, and maps are used to compare various school districts to prove that conditions are indeed unequal. Both sides—plaintiff and defendant—use such information to disprove each other's contentions. In so doing, each assumes that the political spaces of the school districts are absolute, timeless, and independent. Failure to recognize that these spaces—the school districts—are not objective but, in fact, constitutive of the class and race relations actually being argued and debated in court further legitimates local geographies of privilege and deprivation. I examine the formation of the school districts around San Antonio, Texas to illustrate that these districts are far from independent of one another and were formed to isolate privileged communities from the rest of the city. A relational view of space‐time allows such spaces as school districts to assume a political role, as opposed to the absolute, independent spaces they now represent.     

矿井导线网空间关系和操作的半序集模型

本文用单纯复形的半序关系和格的数学理论,对矿井导线网的空间关系和操作给予了形式的描述。导线网的细部用半序关系来表示,一般能回答导线网的包含、相邻、相接等空间关系问题,用格的理论能方便地实现导线网的交、并和查询等空间操作。对于非格的半序关系,通过增加新的元素构成格,用序的理论对导线网的结构进行形式描述,为导线网数据和拓扑结构的计算机存储和操作提供理论基础。     

地理国情普查中地表覆盖分类数据典型问题解析

由于地理国情普查是一个全新的、有别于其他测绘项目的新兴项目,在生产过程中难免会出现各种各样的问题。本文结合生产实际,对于地表覆盖分类数据生产过程中出现的一些特征明显、问题集中的错误进行归类解析。     

潜在连接点集下拓扑推进三维建模算法研究

通过三维激光扫描仪可以获取到表示空间对象的点云数据。通过设置仪器的采样间隔可以获取到表示对象不同精密程度的点集。但是由于离散点之间缺乏相应的拓扑关系,限制了以点为基本图元的模型的应用。以空间离散特征点集为研究对象,研究了一种三维建模算法。算法基于距离较近的点之间比距离较远的点之间存在拓扑连接的可能性更大的前提,对点集进行预处理,然后在此基础上进行快速建模,最终获取到以三角形为基本面片的格网模型。所建立的模型易于进行各项空间分析和操作。该算法也能够有效地应用于更为复杂的建模任务中,以达到一体化建模的目的。     

基于线段的基本线/线拓扑关系计算

空间拓扑关系是空间数据建模、空间查询、分析、推理、制图综合、数据质量控制、数据更新等的基础。目前空间拓扑关系研究的主要成果仍然集中在拓扑关系的描述方面,在计算方面的阐述都非常薄弱,不足以指导系统开发人员编程实现。本文研究了IR2中两个简单线目标间拓扑关系的计算方法,重点分析了线/线拓扑关系计算的特点,提出了一种基于线段的线/线拓扑关系计算方法,并用VC＋＋采用底层开发模式实现了基本线/线拓扑关系的计算。     

基于Voronoi图的空间方向关系形式化描述模型

运用认知心理学信息加工的观点,建立了基于Voronoi图的空间方向关系形式化描述模型,并详细阐述了模型的逻辑结构、数据结构和空间方向的计算过程。为了验证模型的正确性,列举了该模型计算空间方向的几个例子,并总结了模型的优、缺点。     

An improved direction relation detection model for spatial objects

Direction is a common spatial concept that is used in our daily life. It is frequently used as a selection condition in spatial queries. As a result, it is important for spatial databases to provide a mechanism for modeling and processing direction queries and reasoning. Depending on the direction relation matrix, an inverted direction relation matrix and the concept of direction pre- dominance are proposed to improve the detection of direction relation between objects. Direction predicates of spatial systems are also extended. These techniques can improve the veracity of direction queries and reasoning. Experiments show excellent efficiency and performance in view of direction queries.     

Definitions of natural-language spatial relations: Combining topology and directions

Because SQL for querying data from spatial databases is ineffective, the query based on natural or visual language becomes an attractive research field gradually. However, how to define and represent natural languages related to spatial data are still gigantic problems. Because existing models of direction relations can't describe by use of some common concepts. First of all, detailed direction relations are proposed to describe the directions related to the interior of spatial objects, such as “east part of a region”, “east boundary of a region”, and so on. Secondly, by integrating the detailed directions with exterior direction relations and topological relations, several NLSRs are defined, such as “a road goes across the east part of a lake”, “a river goes along the east boundary of a province”, etc. Finally, based on the NLSRs abovementioned, a natural spatial query language (NSQL) is formed to retrieve data from spatial databases.     

复杂区域对象拓扑关系分解与计算

本文提出了基于9交矩阵的拓扑关系计算方法,将复杂区域分解有限个简单区域,采用正则表达式描述其多部分和洞构成,通过定义两个9交关系矩阵操作算子,利用分解区域间的拓扑关系直接计算复杂区域间的9交关系矩阵。详细证明和分析了两个操作算子的不成立条件以及消除不成立条件的方法。结合关系矩阵表法拓扑关系的推导和推理过程,操作算子可用于推导已知结构复杂区域间的所有可能9交拓扑关系。同时,9交关系矩阵操作算子依赖复杂区域的定义,不适用于所有区域对象。     

利用自然语言空间关系的空间查询方法研究

首先,从空间认知语言学的角度研究了空间关系自然语言描述中谓词、量词等的分类方法;然后,在分析空间查询语言特点的基础上建立了自然语言空间查询的4类句法模式;最后,设计了一个基于自然语言空间关系的空间查询系统框架,并进行了初步实现。