SUN Weixin, WANG Guangxia, LV Xiaohua, ZHANG Jinming, YOU Tian. A Method for Indoor Map Unified Mathematical Transformation Based on Transition Projecting Plane[J]. Geomatics and Information Science of Wuhan University, 2018, 43(4): 509-515. DOI: 10.13203/j.whugis20160034
Citation: SUN Weixin, WANG Guangxia, LV Xiaohua, ZHANG Jinming, YOU Tian. A Method for Indoor Map Unified Mathematical Transformation Based on Transition Projecting Plane[J]. Geomatics and Information Science of Wuhan University, 2018, 43(4): 509-515. DOI: 10.13203/j.whugis20160034

A Method for Indoor Map Unified Mathematical Transformation Based on Transition Projecting Plane

Funds: 

The National Key Research and Development Program of China 2017YFB0503500

the National Natural Science Foundation of China 41771487

the National Natural Science Foundation of China 41371383

the National High-tech Research and Development Program(863 Program)of China 2013AA12A202

More Information
  • Author Bio:

    SUN Weixin, PhD, specializes in the geographic information intelligent service, E-mail:swxgis@163.com

  • Corresponding author:

    WANG Guangxia, PhD, professor.E-mail:wangguangxia2011@163.com

  • Received Date: April 20, 2016
  • Published Date: April 04, 2018
  • Unified mathematics basic of indoor and outdoor map is an important foundation for spatial data share and use between indoor and outdoor, and an important guarantee of the indoor and outdoor integrated LBS, which plays an important role in safety management and emergency response in complex indoor and underground space. Indoor map usually uses user-defined local plane coordinate system, which results in contradictions in terms of mathematics basic between indoor and outdoor map, and also among different building's indoor maps. Taking geographical coordinate system as the unified mathematics basic adopted by indoor map spatial data, this paper studied the method for transforming indoor map from local plane coordinate system into geographical coordinate system. Through analysis the applicability of traditional map mathematical transformation methods, this paper proposed a method for indoor map unified mathematical transformation based on transition projecting plane. Choosing a residential area's survey data to perform a transformation experiment, the results show that the method proposed in this paper can improve the accuracy of indoor map mathematical transformation efficiently in contrast to traditional methods.
  • [1]
    张兰, 王光霞, 袁田, 等.室内地图研究初探[J].测绘与空间地理信息, 2013, 36(9):43-47 doi: 10.3969/j.issn.1672-5867.2013.09.012

    Zhang Lan, Wang Guangxia, Yuan Tian, et al. Research on Indoor Map[J]. Geomatics & Spatial Information Technology, 2013, 36(9):43-47 doi: 10.3969/j.issn.1672-5867.2013.09.012
    [2]
    孙卫新, 王光霞, 张锦明, 等.源自建筑平面图的室内地图空间数据自动生成方法[J].测绘学报, 2016, 45(6):731-739 doi: 10.11947/j.AGCS.2016.20150658

    Sun Weixin, Wang Guangxia, Zhang Jinming, et al.A Method of Generating Indoor Map Spatial Data Automatically from Architectural Plans[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(6):731-739 doi: 10.11947/j.AGCS.2016.20150658
    [3]
    周成虎, 朱欣焰, 王蒙, 等.全息位置地图研究[J].地理科学进展, 2011, 30(11):1331-1335 doi: 10.11820/dlkxjz.2011.11.001

    Zhou Chenghu, Zhu Xinyan, Wang Meng, et al. Panoramic Location-Based Map[J]. Progress in Geography, 2011, 30(11):1331-1335 doi: 10.11820/dlkxjz.2011.11.001
    [4]
    朱庆, 熊庆, 赵君峤.室内位置信息模型与智能位置服务[J].测绘地理信息, 2014, 39(5):1-7 http://d.old.wanfangdata.com.cn/Periodical/chxxygc201405001

    Zhu Qing, Xiong Qing, Zhao Junqiao. Indoor Location Information Model and Intelligent Location Service[J]. Journal of Geomatics, 2014, 39(5):1-7 http://d.old.wanfangdata.com.cn/Periodical/chxxygc201405001
    [5]
    Nossum A S. Developing a Framework for Describing and Computing Indoor Maps[J]. The Cartographic Journal, 2013, 50(3):218-224 doi: 10.1179/1743277413Y.0000000055
    [6]
    Nossum A S. Indoor Tubes a Novel Design for Indoor Maps[J]. Cartography and Geographic Information Science, 2011, 38(2):193-201 doi: 10.1559/15230406382192
    [7]
    游天, 周成虎, 陈曦.室内地图表示方法研究与实践[J].测绘科学技术学报, 2014, 31(6):635-640 http://www.irgrid.ac.cn/handle/1471x/995659

    You Tian, Zhou Chenghu, Chen Xi. The Research and Practice of Indoor Map Representation[J]. Journal of Geomatics Science and Technology, 2014, 31(6):635-640 http://www.irgrid.ac.cn/handle/1471x/995659
    [8]
    许华燕, 李志辉, 王金月.室内地图应用现状及展望[J].测绘通报, 2014(9):119-121 http://www.docin.com/p-1526863159.html

    Xu Huayan, Li Zhihui, Wang Jinyue. Present Status and Prospect of Indoor Map Application[J]. Bulletin of Surveying and Mapping, 2014(9):119-121 http://www.docin.com/p-1526863159.html
    [9]
    李慧. 室内外融合导航系统的设计与实现[D]. 北京: 北京邮电大学, 2011

    Li Hui. Design and Implementation of an Integrated Navigation System in Outdoor and Indoor[D]. Beijing: Beijing University of Posts and Telecommunications, 2011
    [10]
    宁津生.在统一的总体框架下建设"数字中国"[J].地理空间信息, 2004(2):1-2 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dlkjxx200402001

    Ning Jinsheng. The Construction of "Digital China" Under the Unified Overall Frame[J]. Spatial Information, 2004(2):1-2 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dlkjxx200402001
    [11]
    毛锋. GIS中的空间基准问题[J].地理学与国土研究, 2002, 18(2):8-10 doi: 10.3969/j.issn.1672-0504.2002.02.003

    Mao Feng. Some Problems on GIS Spatial Datum[J]. Geography and Territorial Research, 2002, 18(2):8-10 doi: 10.3969/j.issn.1672-0504.2002.02.003
    [12]
    王密, 龚健雅, 李德仁.大型遥感影像数据库的空间无缝数据组织[J].武汉大学学报·信息科学版, 2001, 26(5):419-424 http://ch.whu.edu.cn/CN/abstract/abstract5206.shtml

    Wang Mi, Gong Jianya, Li Deren. Spatial Seamless Data Organization of Large-scale Image Database[J]. Geomatics and Information Sicence of Wuhan University, 2001, 26(5):419-424 http://ch.whu.edu.cn/CN/abstract/abstract5206.shtml
    [13]
    刘宏林, 吕晓华, 江南, 等.影响地图投影多项式变换精度的若干因素分析[J].测绘科学技术学报, 2011, 28(2):108-112 http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jfjc201102007&dbname=CJFD&dbcode=CJFQ

    Liu Honglin, Lv Xiaohua, Jiang Nan, et al. Analysis of Some Influencing Factors on Accuracy of Map Projective Polynomial Transformation[J]. Journal of Geomatics Science and Technology, 2011, 28(2):108-112 http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jfjc201102007&dbname=CJFD&dbcode=CJFQ
    [14]
    杨启和.等面积投影的仿射变换及若干改良等面积投影的探求[J].测绘学报, 1992, 21(1):67-77 http://www.cnki.com.cn/Article/CJFDTOTAL-NMGD200003002.htm

    Yang Qihe. Affine Transformation of Equal Area Projections and some Discussion on Modified Equal Area Projection[J]. Acta Geodaetica et Cartographica Sinica, 1992, 21(1):67-77 http://www.cnki.com.cn/Article/CJFDTOTAL-NMGD200003002.htm
    [15]
    张剑清, 张祖勋.高分辨率遥感影像基于仿射变换的严格几何模型[J].武汉大学学报·信息科学版, 2002, 27(6):555-558 http://ch.whu.edu.cn/CN/abstract/abstract5009.shtml

    Zhang Jianqing, Zhang Zuxun. Strict Geometric Model Based on Affine Transformation for Remote Sensing Image with High Resolution[J]. Geomatics and Information Science of Wuhan University, 2002, 27(6):555-558 http://ch.whu.edu.cn/CN/abstract/abstract5009.shtml
    [16]
    郭金运, 朱明法, 徐泮林.地图数据几何纠正时仿射变换与相似变换的对比分析[J].测绘通报, 2001(4):23-24 http://d.wanfangdata.com.cn/Periodical_chtb200104010.aspx

    Guo Jinyun, Zhu Mingfa, Xu Panlin. Comparition Between the Affine Transformation and the Similarity Transformation and its Analysis[J]. Bulletin of Surveying and Mapping, 2001(4):23-24 http://d.wanfangdata.com.cn/Periodical_chtb200104010.aspx
    [17]
    李培华, 肖莉娟.基于Mean Shift的相似变换和仿射变换目标跟踪算法[J].中国图象图形学报, 2011, 16(2):258-266 http://kns.cnki.net/KCMS/detail/detail.aspx?filename=zgtb201102020&dbname=CJFD&dbcode=CJFQ

    Li Peihua, Xiao Lijuan. Mean Shift Based Object Tracking with Similarity and Affine Transformations[J]. Journal of Image and Graphics, 2011, 16(2):258-266 http://kns.cnki.net/KCMS/detail/detail.aspx?filename=zgtb201102020&dbname=CJFD&dbcode=CJFQ
    [18]
    吕晓华, 刘宏林.地图投影数值变换方法综合评述[J].测绘科学技术学报, 2002, 19(2):150-153 http://edu.wanfangdata.com.cn/Periodical/Detail/zgxxh201308039

    Lv Xiaohua, Liu Honglin. A Comprehensive Appraisial of Numerical Transformation Method for Map Projection[J]. Journal of Geomatics Science and Technology, 2002, 19(2):150-153 http://edu.wanfangdata.com.cn/Periodical/Detail/zgxxh201308039
    [19]
    孙卫新, 马俊, 薛志伟, 等.高斯-克吕格投影反解的数值变换方法分析[J].测绘工程, 2013, 22(3):28-31 http://www.cqvip.com/QK/98521X/201303/46802277.html

    Sun Weixin, Ma Jun, Xue Zhiwei, et al. Analysis of Numerical Transformation of Gauss-Krüger Projection Reverse Transformation[J]. Engineering of Surveying and Mapping, 2013, 22(3):28-31 http://www.cqvip.com/QK/98521X/201303/46802277.html
    [20]
    胡安文, 张祖勋.对高分辨率遥感影像基于仿射变换的严格几何模型的讨论[J].武汉大学学报·信息科学版, 2006, 31(2):104-107 http://ch.whu.edu.cn/CN/abstract/abstract2378.shtml

    Hu Anwen, Zhang Zuxun. Discussion on "Strict Geometric Model Based on Affine Transformation for Remote Sensing Image with High Resolution"[J]. Geomatics and Information Science of Wuhan University, 2006, 31(2):104-107 http://ch.whu.edu.cn/CN/abstract/abstract2378.shtml
    [21]
    袁修孝, 付迎春, 张过, 等.多级空间信息网格间的平面坐标变换精度分析[J].武汉大学学报·信息科学版, 2005, 30(2):110-114 http://ch.whu.edu.cn/CN/abstract/abstract2130.shtml

    Yuan Xiuxiao, Fu Yingchun, Zhang Guo, et al. Accuracy Analysis of Planmetric Coordinate Transformation Between Spatial Information Multi-grids[J]. Geomatics and Information Science of Wuhan University, 2005, 30(2):110-114 http://ch.whu.edu.cn/CN/abstract/abstract2130.shtml
    [22]
    彭晓艳, 龙毅, 毋河海.基于仿射变换的MapInfo矢量图形坐标纠正的方法探讨[J].测绘信息与工程, 2002, 27(5):6-7 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxxygc200205003

    Peng Xiaoyan, Long Yi, Wu Hehai. Coordinate Adjustment on Vector Graph in MapInfo Using Affine Transformation[J]. Journal of Geomatics, 2002, 27(5):6-7 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxxygc200205003
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