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    A Novel Approach to Algebraic Fitting of a Pencil of Quadrics for Planar 4R Motion Synthesis

    Source: Journal of Computing and Information Science in Engineering:;2012:;volume( 012 ):;issue: 004::page 41003
    Author:
    Q. J. Ge
    ,
    Ping Zhao
    ,
    Anurag Purwar
    ,
    Xiangyun Li
    DOI: 10.1115/1.4007447
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The use of the image space of planar displacements for planar motion approximation is a well studied subject. While the constraint manifolds associated with planar four-bar linkages are algebraic, geometric (or normal) distances have been used as default metric for nonlinear least squares fitting of these algebraic manifolds. This paper presents a new formulation for the manifold fitting problem using algebraic distance and shows that the problem can be solved by fitting a pencil of quadrics with linear coefficients to a set of image points of a given set of displacements. This linear formulation leads to a simple and fast algorithm for kinematic synthesis in the image space.
    keyword(s): Motion , Fittings , Manifolds , Approximation , Linkages , Algorithms AND Errors ,
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      A Novel Approach to Algebraic Fitting of a Pencil of Quadrics for Planar 4R Motion Synthesis

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    http://yetl.yabesh.ir/yetl1/handle/yetl/148380
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    contributor authorQ. J. Ge
    contributor authorPing Zhao
    contributor authorAnurag Purwar
    contributor authorXiangyun Li
    date accessioned2017-05-09T00:48:51Z
    date available2017-05-09T00:48:51Z
    date copyright41244
    date issued2012
    identifier issn1530-9827
    identifier otherJCISB6-926512#jcis_12_4_041003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148380
    description abstractThe use of the image space of planar displacements for planar motion approximation is a well studied subject. While the constraint manifolds associated with planar four-bar linkages are algebraic, geometric (or normal) distances have been used as default metric for nonlinear least squares fitting of these algebraic manifolds. This paper presents a new formulation for the manifold fitting problem using algebraic distance and shows that the problem can be solved by fitting a pencil of quadrics with linear coefficients to a set of image points of a given set of displacements. This linear formulation leads to a simple and fast algorithm for kinematic synthesis in the image space.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Novel Approach to Algebraic Fitting of a Pencil of Quadrics for Planar 4R Motion Synthesis
    typeJournal Paper
    journal volume12
    journal issue4
    journal titleJournal of Computing and Information Science in Engineering
    identifier doi10.1115/1.4007447
    journal fristpage41003
    identifier eissn1530-9827
    keywordsMotion
    keywordsFittings
    keywordsManifolds
    keywordsApproximation
    keywordsLinkages
    keywordsAlgorithms AND Errors
    treeJournal of Computing and Information Science in Engineering:;2012:;volume( 012 ):;issue: 004
    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