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    Total Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters

    Source: Journal of Surveying Engineering:;2016:;Volume ( 142 ):;issue: 003
    Author:
    Songlin Zhang
    ,
    Kun Zhang
    ,
    Pengcheng Liu
    DOI: 10.1061/(ASCE)SU.1943-5428.0000180
    Publisher: American Society of Civil Engineers
    Abstract: The error-in-variable (EIV) model takes the error of all variables into account and has been widely applied to many practical problems arising in environmental study, geology, geographic information science (GIS), and geodesy. Coordinate transformations are among the most frequently encountered problems in spatial data processing, and the EIV model can be built based on two sets of coordinates. In some applications, physical parameters—such as the shift, rotation angle, and scale factor—have constraints. Current implementations of the constrained EIV (CEIV) model do not consider physical constraints explicitly. The purpose of this paper is to convert physical constraints into mathematical forms and to use constrained total least squares (CTLS) to solve the CEIV problem of two-dimensional (2D) affine transformation. The effectiveness of this method is illustrated through a numerical example.
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      Total Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters

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    contributor authorSonglin Zhang
    contributor authorKun Zhang
    contributor authorPengcheng Liu
    date accessioned2017-12-16T09:24:10Z
    date available2017-12-16T09:24:10Z
    date issued2016
    identifier other%28ASCE%29SU.1943-5428.0000180.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4242507
    description abstractThe error-in-variable (EIV) model takes the error of all variables into account and has been widely applied to many practical problems arising in environmental study, geology, geographic information science (GIS), and geodesy. Coordinate transformations are among the most frequently encountered problems in spatial data processing, and the EIV model can be built based on two sets of coordinates. In some applications, physical parameters—such as the shift, rotation angle, and scale factor—have constraints. Current implementations of the constrained EIV (CEIV) model do not consider physical constraints explicitly. The purpose of this paper is to convert physical constraints into mathematical forms and to use constrained total least squares (CTLS) to solve the CEIV problem of two-dimensional (2D) affine transformation. The effectiveness of this method is illustrated through a numerical example.
    publisherAmerican Society of Civil Engineers
    titleTotal Least-Squares Estimation for 2D Affine Coordinate Transformation with Constraints on Physical Parameters
    typeJournal Paper
    journal volume142
    journal issue3
    journal titleJournal of Surveying Engineering
    identifier doi10.1061/(ASCE)SU.1943-5428.0000180
    treeJournal of Surveying Engineering:;2016:;Volume ( 142 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian