利用等距同构建立多尺度空间实体相似性度量模型

徐丰; 牛继强; 林昊; 陈时雨; 张兵兵; 陈飞燕; 徐丰; 牛继强; 林昊; 陈时雨; 张兵兵; 陈飞燕

doi:10.13203/j.whugis20170344

[1]

丁虹.空间相似性理论与计算模型的研究[D].武汉: 武汉大学, 2004

Ding Hong. A Study on Spatial Similarity Theory and Calculation Model[D]. Wuhan: Wuhan University, 2004

[2]

安晓亚, 孙群, 肖强, 等.一种形状多级描述方法及在多尺度空间数据几何相似性度量中的应用[J].测绘学报, 2011, 40(4):495-501 http://www.cnki.com.cn/Article/CJFDTotal-CHXB201104018.htm

An Xiaoya, Sun Qun, Xiao Qiang, et al. A Shape Multilevel Description Method and Application in Measuring Geometry Similarity of Multi-scale Spatial Data[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(4):495-501 http://www.cnki.com.cn/Article/CJFDTotal-CHXB201104018.htm

[3]

Bronstein A M, Bronstein M M, Kimmel R. Topology-Invariant Similarity of Nonrigid Shapes[J]. International Journal of Computer Vision, 2009, 81(3):281-301 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=8af580a695d4db9484e81814d9b3c0c8

[4]

夏敏, 刘宏申.基于小波描述子和神经网络的形状识别[J].计算机技术与发展, 2007, 17(3):106-108 doi: 10.3969/j.issn.1673-629X.2007.03.030

Xia Min, Liu Hongshen. The Shape Recognition System Based on Wavelet Descriptors and Neural Networks[J]. Computer Technology and Development, 2007, 17(3):106-108 doi: 10.3969/j.issn.1673-629X.2007.03.030

[5]

Osada R, Funkhouser T, Chazelle B, et al. Shape Distributions[J]. ACM Transactions on Graphics (TOG), 2002, 21(4):807-832 doi: 10.1145/571647.571648

[6]

Elad A, Kimmel R. On Bending Invariant Signatures for Surfaces[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2003, 25(10):1285-1295 doi: 10.1109/TPAMI.2003.1233902

[7]

Reuter M, Wolter F E, Peinecke N. Laplace-Beltrami Spectra as "Shape-DNA" of Surfaces and Solids[J]. Computer-Aided Design, 2006, 38(4):342-366 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0673a0113d88285752bc6bd68097ab40

[8]

Abbas I, Grussenmeyer P, Hottier P. Contrôle de la Planimétrie D'une Base de Données Vectorielle:Une Nouvel1e Méthode Basée sur la Distance de Hausdorff:la Méthode du Contrôle Linéaire[J]. Bulletin SFPT, 1995, 137(1):6-11

[9]

王桥, 毋河海.地图图斑群自动综合的分形方法研究[J].武汉测绘科技大学学报, 1996, 21(1):59-63 doi: 10.3321/j.issn:1671-8860.1996.01.012

Wang Qiao, Wu Hehai. The Research on Fractal Method of Automatic Generalization of Map Polygons[J]. Journal of Wuhan Technical University of Surveying and Mapping, 1996, 21(1):59-63 doi: 10.3321/j.issn:1671-8860.1996.01.012

[10]

艾廷华, 帅赟, 李精忠.基于形状相似性识别的空间查询[J].测绘学报, 2009, 38(4):300-310 http://d.old.wanfangdata.com.cn/Periodical/chxb200904012

Ai Tinghua, Shuai Yun, Li Jingzhong. A Spatial Query Based on Shape Similarity Cognition[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4):300-310 http://d.old.wanfangdata.com.cn/Periodical/chxb200904012

[11]

陈占龙, 吴亮, 谢忠, 等.利用约束满足问题进行多洞面实体相似性度量[J].武汉大学学报·信息科学版, 2018, 43(5):745-751 http://ch.whu.edu.cn/CN/abstract/abstract6049.shtml

Chen Zhanlong, Wu Liang, Xie Zhong, et al. Similarity Measurement of Multi-holed Regions Using Constraint Satisfaction Problem[J]. Geomatics and Information Science of Wuhan University, 2018, 43(5):745-751 http://ch.whu.edu.cn/CN/abstract/abstract6049.shtml

[12]

艾廷华, 李精忠.尺度空间中GIS数据表达的生命期模型[J].武汉大学学报·信息科学版, 2010, 35(7):757-762, 781 http://www.cnki.com.cn/Article/CJFDTotal-WHCH201007002.htm

Ai Tinghua, Li Jingzhong. The Lifespan Model of GIS Data Representation over Scale Space[J]. Geomatics and Information Science of Wuhan University, 2010, 35(7):757-762, 781 http://www.cnki.com.cn/Article/CJFDTotal-WHCH201007002.htm

[13]

王敬庚.拓扑, 外号叫"橡皮几何学"——对中学生的课外讲座之一[J].数学通报, 1986(1):33-36 http://www.cnki.com.cn/Article/CJFDTotal-SXTB198601012.htm

Wang Jinggeng. Topology, Nicknamed "Rubber Geometry"-One of the Extracurricular Lectures for Secondary School Students[J]. Mathematical Bulletin, 1986(1):33-36 http://www.cnki.com.cn/Article/CJFDTotal-SXTB198601012.htm

[14]

刘明学.关于概率度量空间的等距同构[J].应用数学和力学, 2002, 23(5):548-550 doi: 10.3321/j.issn:1000-0887.2002.05.013

Liu Mingxue. On the Isometric Isomorphism of Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(5):548-550 doi: 10.3321/j.issn:1000-0887.2002.05.013

[15]

Gromov M. Metric Structures For Riemannian and Non-riemannian Spaces[J]. Progr Math, 1999(3):353-353 http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_math%2f9701213

[16]

Borg I, Groenen P. Modern Multidimensional Scaling:Theory and Applications[J]. Journal of Educational Measurement, 2003, 40(3):277-280 doi: 10.1111/j.1745-3984.2003.tb01108.x

[17]

Linial N, London E, Rabinovich Y. The Geometry of Graphs and Some of Its Algorithmic Applications[J]. Combinatorica, 1995, 15(2):215-245 doi: 10.1007/BF01200757

[1]	丁虹.空间相似性理论与计算模型的研究[D].武汉: 武汉大学, 2004 Ding Hong. A Study on Spatial Similarity Theory and Calculation Model[D]. Wuhan: Wuhan University, 2004
[2]	安晓亚, 孙群, 肖强, 等.一种形状多级描述方法及在多尺度空间数据几何相似性度量中的应用[J].测绘学报, 2011, 40(4):495-501 http://www.cnki.com.cn/Article/CJFDTotal-CHXB201104018.htm An Xiaoya, Sun Qun, Xiao Qiang, et al. A Shape Multilevel Description Method and Application in Measuring Geometry Similarity of Multi-scale Spatial Data[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(4):495-501 http://www.cnki.com.cn/Article/CJFDTotal-CHXB201104018.htm
[3]	Bronstein A M, Bronstein M M, Kimmel R. Topology-Invariant Similarity of Nonrigid Shapes[J]. International Journal of Computer Vision, 2009, 81(3):281-301 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=8af580a695d4db9484e81814d9b3c0c8
[4]	夏敏, 刘宏申.基于小波描述子和神经网络的形状识别[J].计算机技术与发展, 2007, 17(3):106-108 doi: 10.3969/j.issn.1673-629X.2007.03.030 Xia Min, Liu Hongshen. The Shape Recognition System Based on Wavelet Descriptors and Neural Networks[J]. Computer Technology and Development, 2007, 17(3):106-108 doi: 10.3969/j.issn.1673-629X.2007.03.030
[5]	Osada R, Funkhouser T, Chazelle B, et al. Shape Distributions[J]. ACM Transactions on Graphics (TOG), 2002, 21(4):807-832 doi: 10.1145/571647.571648
[6]	Elad A, Kimmel R. On Bending Invariant Signatures for Surfaces[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2003, 25(10):1285-1295 doi: 10.1109/TPAMI.2003.1233902
[7]	Reuter M, Wolter F E, Peinecke N. Laplace-Beltrami Spectra as "Shape-DNA" of Surfaces and Solids[J]. Computer-Aided Design, 2006, 38(4):342-366 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0673a0113d88285752bc6bd68097ab40
[8]	Abbas I, Grussenmeyer P, Hottier P. Contrôle de la Planimétrie D'une Base de Données Vectorielle:Une Nouvel1e Méthode Basée sur la Distance de Hausdorff:la Méthode du Contrôle Linéaire[J]. Bulletin SFPT, 1995, 137(1):6-11
[9]	王桥, 毋河海.地图图斑群自动综合的分形方法研究[J].武汉测绘科技大学学报, 1996, 21(1):59-63 doi: 10.3321/j.issn:1671-8860.1996.01.012 Wang Qiao, Wu Hehai. The Research on Fractal Method of Automatic Generalization of Map Polygons[J]. Journal of Wuhan Technical University of Surveying and Mapping, 1996, 21(1):59-63 doi: 10.3321/j.issn:1671-8860.1996.01.012
[10]	艾廷华, 帅赟, 李精忠.基于形状相似性识别的空间查询[J].测绘学报, 2009, 38(4):300-310 http://d.old.wanfangdata.com.cn/Periodical/chxb200904012 Ai Tinghua, Shuai Yun, Li Jingzhong. A Spatial Query Based on Shape Similarity Cognition[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4):300-310 http://d.old.wanfangdata.com.cn/Periodical/chxb200904012
[11]	陈占龙, 吴亮, 谢忠, 等.利用约束满足问题进行多洞面实体相似性度量[J].武汉大学学报·信息科学版, 2018, 43(5):745-751 http://ch.whu.edu.cn/CN/abstract/abstract6049.shtml Chen Zhanlong, Wu Liang, Xie Zhong, et al. Similarity Measurement of Multi-holed Regions Using Constraint Satisfaction Problem[J]. Geomatics and Information Science of Wuhan University, 2018, 43(5):745-751 http://ch.whu.edu.cn/CN/abstract/abstract6049.shtml
[12]	艾廷华, 李精忠.尺度空间中GIS数据表达的生命期模型[J].武汉大学学报·信息科学版, 2010, 35(7):757-762, 781 http://www.cnki.com.cn/Article/CJFDTotal-WHCH201007002.htm Ai Tinghua, Li Jingzhong. The Lifespan Model of GIS Data Representation over Scale Space[J]. Geomatics and Information Science of Wuhan University, 2010, 35(7):757-762, 781 http://www.cnki.com.cn/Article/CJFDTotal-WHCH201007002.htm
[13]	王敬庚.拓扑, 外号叫"橡皮几何学"——对中学生的课外讲座之一[J].数学通报, 1986(1):33-36 http://www.cnki.com.cn/Article/CJFDTotal-SXTB198601012.htm Wang Jinggeng. Topology, Nicknamed "Rubber Geometry"-One of the Extracurricular Lectures for Secondary School Students[J]. Mathematical Bulletin, 1986(1):33-36 http://www.cnki.com.cn/Article/CJFDTotal-SXTB198601012.htm
[14]	刘明学.关于概率度量空间的等距同构[J].应用数学和力学, 2002, 23(5):548-550 doi: 10.3321/j.issn:1000-0887.2002.05.013 Liu Mingxue. On the Isometric Isomorphism of Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(5):548-550 doi: 10.3321/j.issn:1000-0887.2002.05.013
[15]	Gromov M. Metric Structures For Riemannian and Non-riemannian Spaces[J]. Progr Math, 1999(3):353-353 http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_math%2f9701213
[16]	Borg I, Groenen P. Modern Multidimensional Scaling:Theory and Applications[J]. Journal of Educational Measurement, 2003, 40(3):277-280 doi: 10.1111/j.1745-3984.2003.tb01108.x
[17]	Linial N, London E, Rabinovich Y. The Geometry of Graphs and Some of Its Algorithmic Applications[J]. Combinatorica, 1995, 15(2):215-245 doi: 10.1007/BF01200757