| 基于庞卡莱代数的TEN三维GIS模型研究 |
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| 引用本文： | 马玉梅,马超.基于庞卡莱代数的TEN三维GIS模型研究[J].测绘工程,2017,26(5). |
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| 作者姓名： | 马玉梅 马超 |
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| 作者单位： | 1. 新疆维吾尔族自治区第二测绘院,新疆 乌鲁木齐,830002;2. 东北师范大学 地理科学学院,吉林 长春,130024 |
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| 摘 要： | 不规则四面体网具有结构简单、易于扩展的特性。借助于庞卡莱代数,应用边界表示理论重新描述了TEN模型。与传统几何结构模型相比,这种模型具有表达简单、易于计算的特点。同时,提出基于庞卡莱代数的TEN合并和删除运算以及拓扑一致性检查。在VC++环境下,对TEN模型的合并和删除运算进行编程与实现。实验表明,基于庞卡莱代数的TEN模型可以有效建立动态实体模型,能够实时建立拓扑关系,适合于表达不规则矿体等动态变化的三维实体。
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| 关 键 词： | 庞卡莱代数 三维地理信息系统 不规则四面体格网 拓扑一致性 边界表达法 |
Research on TEN 3D GIS model based on Poincaré algebra |
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| MA Yumei,MA Chao.Research on TEN 3D GIS model based on Poincaré algebra[J].Engineering of Surveying and Mapping,2017,26(5). |
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| Authors: | MA Yumei MA Chao |
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| Abstract: | Irregular tetrahedral network has the characteristics of simple structure ,easy to expand .By means of Poincare algebra ,TEN model is proposed by using boundary representation theory in this paper . Compared with the traditional geometric structure model , this model has the characteristics of simple expression and simplified calculation .At the same time ,merge and delete operations as well as topology consistency checking are proposed based on Poincare algebra T EN .In the VC+ + environment ,the merge and delete operations are programed and then implemented .Experimental results show that ten model based on Poincare algebra can effectively establish a dynamic entity model ,and it also can establish real‐time topological relations ,w hich is suitable for 3D entity such as irregular ore body that changes every time . |
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| Keywords: | Poincaré algebra 3D GIS irregular tetrahedral network topological consistency boundary ex-pression |
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