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图的谱方法的空间目标形状表达研究 被引量:5

Representation and Measurement of Shape for Spatial Objects Based on Spectral Method of Graph
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摘要 提出了一种新的关联矩阵——角度矩阵来表达关联图,分别采用邻接矩阵、拉普拉斯矩阵、距离矩阵和角度矩阵来数字化表达关联图。初步实验结果表明,图的谱方法是一种有效表达空间目标形状信息的方法,其中选择角度矩阵作为关联矩阵的效果最好。 We put forward a new relational matrix,angular matrix.Preliminary research shows that the spectral method of graph is effective for representation and measurement of 2D spatial object's shape and the angular matrix can represent geometric shape of spatial object more accurately and precisely than other relational matrix,such as adjacent matrix,Laplacian matrix,and distance matrix.
出处 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2012年第11期1281-1284,1298,共5页 Geomatics and Information Science of Wuhan University
基金 国家自然科学基金资助项目(41071240) 全球变化研究国家重大科学研究计划资助项目(2010CB950902) 武汉市科技攻关计划资助项目(200910321099) 湖北省教育厅科学技术研究资助项目(D20091001)
关键词 空间目标形状 图的谱方法 关联图 DELAUNAY三角网 距离矩阵 角度矩阵 spatial object's shape spectral method of graph relational graph Delaunay triangulation distance matrix angular matrix
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