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Seamless multivariate affine error-in-variables transformation and its application to map rectification (Record no. 160681)

MARC details
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fixed length control field 02291nam a22002417a 4500
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control field ZW-GwMSU
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control field 20221130134747.0
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fixed length control field 221130b |||||||| |||| 00| 0 eng d
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Original cataloging agency MSU
Transcribing agency MSU
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100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Li, Bofeng
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Title Seamless multivariate affine error-in-variables transformation and its application to map rectification
Statement of responsibility, etc. created by Bofeng Li,Yunzhong Shen,Xingfu Zhang,Chuang Li &Lizhi Lou
264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Guanzhou:
Name of producer, publisher, distributor, manufacturer Taylor & Francis,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
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Media type term unmediated
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Summary, etc. <br/>Abstract<br/>Affine transformation that allows the axis-specific rotations and scalars to capture the more transformation details has been extensively applied in a variety of geospatial fields. In tradition, the computation of affine parameters and the transformation of non-common points are individually implemented, in which the coordinate errors only of the target system are taken into account although the coordinates in both target and source systems are inevitably contaminated by random errors. In this article, we propose the seamless affine error-in-variables (EIV) transformation model that computes the affine parameters and transforms the non-common points simultaneously, importantly taking into account the errors of all coordinates in both datum systems. Since the errors in coefficient matrix are involved, the seamless affine EIV model is nonlinear. We then derive its least squares iterative solution based on the Euler–Lagrange minimization method. As a case study, we apply the proposed seamless affine EIV model to the map rectification. The transformation accuracy is improved by up to 40%, compared with the traditional affine method. Naturally, the presented seamless affine EIV model can be applied to any application where the transformation estimation of points fields in the different systems is involved, for instance, the geodetic datum transformation, the remote sensing image matching, and the LiDAR point registration.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element affine transformation
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Topical term or geographic name entry element total least squares
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Topical term or geographic name entry element error-in-variables model
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Uniform Resource Identifier https://doi.org/10.1080/13658816.2012.760202
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Journal Article
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Serial Enumeration / chronology Total Checkouts Full call number Date last seen Copy number Price effective from Koha item type Public note
    Library of Congress Classification     Main Library Main Library - Special Collections 14/10/2014 Vol 27 .Nos.7-8 pages 1572-1592   G70.2 INT 30/11/2022 SP17852 30/11/2022 Journal Article For Inhouse use only