Least-squares solution of absolute orientation with non-scalar weights

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The absolute orientation problem involves finding the Euclidean transformation which minimises the sum of the squared errors between two pointsets. In the standard form of the problem a confidence may be attached to each of the errors via a set of positive scalar weights. In this paper we consider a generalisation of the standard problem in which the components of the error vectors are coupled via a set of weight matrices. We show how problems of this type arise and derive two distinct forms of the problem. We present a closed-form solution to the first form of the 3-D problem and iterative solutions to the second form of the 2-D problem and both forms of the 3-D problem. © 1996 IEEE.
    Original languageEnglish
    Title of host publicationProceedings - International Conference on Pattern Recognition|Proc. Int. Conf. Pattern Recognit.
    PublisherIEEE
    Pages461-465
    Number of pages4
    Volume1
    ISBN (Print)081867282X, 9780818672828
    DOIs
    Publication statusPublished - 1996
    Event13th International Conference on Pattern Recognition, ICPR 1996 - Vienna
    Duration: 1 Jul 1996 → …
    http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000545

    Conference

    Conference13th International Conference on Pattern Recognition, ICPR 1996
    CityVienna
    Period1/07/96 → …
    Internet address

    Keywords

    • Peer Reviewed Conference

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