顾及尺度差异的复合空间对象方向相似度定量计算模型
介绍了一种顾及尺度差异的复合空间对象的方向关系表达模型,及基于该模型的方向相似度度量方法。该方向关系模型对方向关系矩阵模型进行改进,根据空间对象的形状定量描述空间对象之间的方向关系。采用分解思想,借鉴平衡传输问题的优化方法计算复合方向矩阵间最小转换代价,即方向矩阵间的距离,从而量化方向对间的差异,最终获得不同尺度下的复合对象的方向相似度并对其进行比较。对不同尺度复合空间对象的方向相似性的试验表明,该方法简单可行且不失精度,结果符合人类认知。...
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| Published in | 测绘学报 Vol. 45; no. 3; pp. 362 - 371 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
西安测绘研究所,陕西 西安 710054
2016
地理信息工程国家重点实验室,陕西 西安710054%中国地质大学(武汉)信息工程学院,湖北 武汉,430074%地理信息工程国家重点实验室,陕西 西安710054 中国地质大学(武汉)信息工程学院,湖北 武汉430074 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-1595 |
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| Abstract | 介绍了一种顾及尺度差异的复合空间对象的方向关系表达模型,及基于该模型的方向相似度度量方法。该方向关系模型对方向关系矩阵模型进行改进,根据空间对象的形状定量描述空间对象之间的方向关系。采用分解思想,借鉴平衡传输问题的优化方法计算复合方向矩阵间最小转换代价,即方向矩阵间的距离,从而量化方向对间的差异,最终获得不同尺度下的复合对象的方向相似度并对其进行比较。对不同尺度复合空间对象的方向相似性的试验表明,该方法简单可行且不失精度,结果符合人类认知。 |
|---|---|
| AbstractList | 介绍了一种顾及尺度差异的复合空间对象的方向关系表达模型,及基于该模型的方向相似度度量方法。该方向关系模型对方向关系矩阵模型进行改进,根据空间对象的形状定量描述空间对象之间的方向关系。采用分解思想,借鉴平衡传输问题的优化方法计算复合方向矩阵间最小转换代价,即方向矩阵间的距离,从而量化方向对间的差异,最终获得不同尺度下的复合对象的方向相似度并对其进行比较。对不同尺度复合空间对象的方向相似性的试验表明,该方法简单可行且不失精度,结果符合人类认知。 P208; 介绍了一种顾及尺度差异的复合空间对象的方向关系表达模型,及基于该模型的方向相似度度量方法.该方向关系模型对方向关系矩阵模型进行改进,根据空间对象的形状定量描述空间对象之间的方向关系.采用分解思想,借鉴平衡传输问题的优化方法计算复合方向矩阵间最小转换代价,即方向矩阵间的距离,从而量化方向对间的差异,最终获得不同尺度下的复合对象的方向相似度并对其进行比较.对不同尺度复合空间对象的方向相似性的试验表明,该方法简单可行且不失精度,结果符合人类认知. |
| Abstract_FL | This article introduces a new model for direction relations between multiple spatial objects at multiple scales and a corresponding similarity assessment method.The model is an improvement of direction relation matrix,which quantitatively models direction relations on object scale,and by the idea of decomposition and means of the optimum solution of the transportation problem to solve the minimum conversion cost between multiple direction matrices,namely distance between a pair of matrices,thus quantified the difference between a pair of directions,finally obtain the similarity values between arbitrary pairs of multiple spatial objects and compare the results.Experiments on calculating similarity between objects at different scales show that the presented method is efficient,accurate,and capable of obtaining results consistent with human cognition. |
| Author | 陈占龙 龚希 吴亮 安晓亚 |
| AuthorAffiliation | 中国地质大学（武汉）信息工程学院,湖北武汉430074 地理信息工程国家重点实验室,陕西西安710054 西安测绘研究所,陕西西安710054 |
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| Author_FL | WU Liang AN Xiaoya CHEN Zhanlong GONG Xi |
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| DocumentTitleAlternate | A Quantitative Calculation Method of Composite Spatial Direction Similarity Concerning Scale Differences |
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| Keywords | multi-scales multiple spatial objects direction relation matrix direction similarity 分解 decomposition 方向关系矩阵 多尺度 复合空间对象 方向相似度 |
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| Notes | 11-2089/P CHEN Zhanlong ,GONG Xi ,WU Liang ,AN Xiaoya（1. Department of Information Engineering, China University of Geosciences, Wuhan 430074, China; 2. State Key Laboratory of Geography Information Engineering, Xi＇an 210054, China; 3. Xi＇an Research Institute of Surveying and Mapping, Xi＇an 710054, China） multi-scales; multiple spatial objects; direction similarity; direction relation matrix; decomposition This article introduces a new model for direction relations between multiple spatial objects at multiple scales and a corresponding similarity assessment method.The model is an improvement of direction relation matrix,which quantitatively models direction relations on object scale,and by the idea of decomposition and means of the optimum solution of the transportation problem to solve the minimum conversion cost between multiple direction matrices,namely distance between a pair of matrices,thus quantified the difference between a pair of directions,finally obtain the similarity values between arbitrary pairs |
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| SubjectTerms | 分解 复合空间对象 多尺度 方向关系矩阵 方向相似度 |
| Title | 顾及尺度差异的复合空间对象方向相似度定量计算模型 |
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