王新生, 何津, 叶晓雷, 姜友华. 图的谱方法的空间目标形状表达研究[J]. 武汉大学学报 ( 信息科学版), 2012, 37(11): 1281-1284.
引用本文: 王新生, 何津, 叶晓雷, 姜友华. 图的谱方法的空间目标形状表达研究[J]. 武汉大学学报 ( 信息科学版), 2012, 37(11): 1281-1284.
WANG Xinsheng, HE Jin, YE Xiaolei, JIANG Youhua. Representation and Measurement of Shape for Spatial Objects Based on Spectral Method of Graph[J]. Geomatics and Information Science of Wuhan University, 2012, 37(11): 1281-1284.
Citation: WANG Xinsheng, HE Jin, YE Xiaolei, JIANG Youhua. Representation and Measurement of Shape for Spatial Objects Based on Spectral Method of Graph[J]. Geomatics and Information Science of Wuhan University, 2012, 37(11): 1281-1284.

图的谱方法的空间目标形状表达研究

Representation and Measurement of Shape for Spatial Objects Based on Spectral Method of Graph

  • 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。

     

    Abstract: 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.

     

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