混合几何对象及其拓扑关系  

Mixed Geometric Features and Their Topological Relations

作　　者：薛丹[1] 左怀玉[1] 钟志农[1] 陈荦[1] 

机构地区：[1]国防科学技术大学电子科学与工程学院,湖南长沙410073

出　　处：《兵工自动化》2008年第7期26-28,31,共4页Ordnance Industry Automation

基　　金：国家自然科学基金项目(40601080);科技支撑计划(2006BA601A07);高技术研究发展计划(2006AA12Z205)

摘　　要：不同维几何要素构成的复杂几何对象是描述现实世界中复杂空间对象的必备几何要素之一。提出基于不同维几何要素的混合几何对象概念,给出混合几何对象的层次描述,并结合目前基于点集理论的维扩展9-交集模型定义了混合对象的层次拓扑关系描述。这种层次拓扑关系描述不仅能计算混合几何对象的整体拓扑关系,还能根据空间数据特点和其计算密集度等设定层次参数来刻画混合几何对象的局部拓扑关系。Heterogeneous geometric features, which are composed of different dimensional geometric features, are one of power tools in describing complex spatial objects of real world. Propose concepts of mixed geometric features and present a hierarchy description for mixed geometric features. Give hierarchy topological relations based on those mixed geometric definitions and the dimensionally extended nine-intersection model. Global topological relations between mixed geometric features can be represented and distinguished by those hierarchy topological relations as well as their local topological relations.

关 键 词：拓扑关系 混合几何对象 层次维扩展9-交集模型 

分 类 号：O189[理学—数学]