Volume 37 Issue 11
Nov.  2012
Turn off MathJax
Article Contents
Abstract
Related Articles
LI Shengquan, LI Houpu, BIAN Shaofeng. Expressions of Analytical Transformations Between Lagrange and the Commonly Used Conformal Projections by Complex Numbers[J]. Geomatics and Information Science of Wuhan University, 2012, 37(11): 1382-1385.
Citation: LI Shengquan, LI Houpu, BIAN Shaofeng. Expressions of Analytical Transformations Between Lagrange and the Commonly Used Conformal Projections by Complex Numbers[J]. Geomatics and Information Science of Wuhan University, 2012, 37(11): 1382-1385.
shu

Expressions of Analytical Transformations Between Lagrange and the Commonly Used Conformal Projections by Complex Numbers

  • 1 Department of Navigation,Naval University of Engineering,717 Jiefang Road,Wuhan 430033,China;2 Institute of Hydrographic Surveying and Charting,40 Youyi Road,Tianjin 300061,China;3 Key Laboratory of Surveying and Mapping Technology on Island and Reef,NASMG,579 Qianwangang Road,Qingdao 266510,China

Funds: 国家973计划资助项目(2012CB719902);;国家自然科学基金资助项目(40904018,41071295);;海岛(礁)测绘技术国家测绘地理信息局重点实验室资助项目(2010B04);;水下测控技术重点实验室延伸性发展基金资助项目(YS0C261102)
More Information
  • Received Date: September 14, 2012
  • Published Date: November 04, 2012
    Graphical Abstract
    • Abstract
  • The problem of the analytical transformations between Lagrange and the commonly used conformal projections is discussed with the help of complex numbers theory.The forward and inverse expressions of Lagrange projection by complex numbers are derived,and the mathematical modes of the analytical transformations between Lagrange and Gauss,Mercator,Lambert conformal conic projections by complex numbers are systematically established.The formulae derived by the paper are in the symbolic form including the first eccentricity of the reference ellipsoid,so they could solve the transformation problems when different reference ellipsoids are used.Compared to traditional transformation formulae in the real number domain,they have more concise structure and stricter theory basis,and are more convenient for practical use.
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]ZHANG Yongxin, ZHANG Wangfei, JI Yongjie, ZHAO Han. Forest Height Estimation and Inversion of Satellite-Based X-band InSAR Data[J]. Geomatics and Information Science of Wuhan University, 2024, 49(12): 2279-2289. DOI: 10.13203/j.whugis20220373
    [2]WU Chuanjun, WANG Changcheng, SHEN Peng, ZHU Jianjun, FU Haiqiang. A Multi-baseline PolInSAR Forest Height Inversion Method Based on S-RVoG Model with Linearly Varying Extinction[J]. Geomatics and Information Science of Wuhan University, 2022, 47(1): 149-156. DOI: 10.13203/j.whugis20190336
    [3]HU Kailong, LIU Qingwang, CUI Ximin, PANG Yong, MU Xiyun. Regional Forest Canopy Height Estimation Using Multi-source Remote Sensing Data[J]. Geomatics and Information Science of Wuhan University, 2018, 43(2): 289-296, 303. DOI: 10.13203/j.whugis20160066
    [4]WU Qiong, TENG Yuntian, ZHANG Bing, HUANG Dalun. Calculation of Measurement-Height in Development of the Absolute Gravimeter[J]. Geomatics and Information Science of Wuhan University, 2017, 42(12): 1773-1778. DOI: 10.13203/j.whugis20150529
    [5]LIU Xiaolong, ZHNAG Yonghong, SONG Weidong. Building Height Information Extracting Technique Based on PSInSARLIU[J]. Geomatics and Information Science of Wuhan University, 2017, 42(4): 482-487,524. DOI: 10.13203/j.whugis20140239
    [6]LI Ning, WANG Changcheng, PENG Xing, FU Haiqiang, LI Pengfei, XIONG Wenxiu. A Dual-baseline Polarimetric SAR Interferometry Method for Building Height Inversion[J]. Geomatics and Information Science of Wuhan University, 2016, 41(10): 1333-1338. DOI: 10.13203/j.whugis20140675
    [7]LIU Bin, GUO Jiming, SHI Junbo, WU Dijun. A GPS Height Fitting Method Based on the EGM2008 Model and Terrain Correction[J]. Geomatics and Information Science of Wuhan University, 2016, 41(4): 554-558. DOI: 10.13203/j.whugis20160249
    [8]YU Bo, LIU Yanchun, BIAN Gang, XIAO Fumin. Correction of Vertical Free-Air in Marine Magnetic Surveying[J]. Geomatics and Information Science of Wuhan University, 2008, 33(9): 926-929.
    [9]DANG Yamin, CHENG Chuanlu, CHEN Junyong, ZHANG Peng. GPS Data Processing of the 2005 Qomolangma Height Surveying[J]. Geomatics and Information Science of Wuhan University, 2006, 31(4): 297-300.
    [10]GUO Hairong, JIAO Wenhai, YANG Yuanxi, LIU Guangming. Systematic Error of the 1985 National Height Datum[J]. Geomatics and Information Science of Wuhan University, 2004, 29(8): 715-719.

Catalog

    Get Citation
    PDF
    XML
    Article views PDF downloads Cited by()
    Related

    Copyright © 2013 《武汉大学学报·信息科学版》编辑部

    Address：武汉大学文理学部本科生院楼北5楼Post Code：430072

    Tel：027-68778465,68788631E-mail:whuxxb@vip.163.com

    Submit Article

    Submission Guidelines

    e

    Contact Us

    Qrcode

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return