YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASCE
    • Journal of Surveying Engineering
    • View Item
    •   YE&T Library
    • ASCE
    • Journal of Surveying Engineering
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    Rotation Parameters—a Survey of Techniques

    Source: Journal of Surveying Engineering:;2000:;Volume ( 126 ):;issue: 003
    Author:
    Martin Nitschke
    ,
    Ernst Heinrich Knickmeyer
    DOI: 10.1061/(ASCE)0733-9453(2000)126:3(83)
    Publisher: American Society of Civil Engineers
    Abstract: A number of parameterizations of rotations in three-dimensional space are compared with respect to their formulas and qualitative characteristics relevant for practical use. The number and uniqueness of parameters, singularities, visualization, and constraint equations within one parameter set are considered. Formulas are given for the transformation to and from rotation matrices and symmetric Euler parameters as well as for the rotation of a vector, the inverse rotation, the combination of two rotations, and the kinematic differential equations. The list of parameters includes the five-parametric Hopf parameters. Symmetric rotation matrices are treated separately. All properties are given in comprehensive tables with formulas ready for programming.
    • Download: (144.7Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Statistics

      Rotation Parameters—a Survey of Techniques

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/35827
    Collections
    • Journal of Surveying Engineering

    Show full item record

    contributor authorMartin Nitschke
    contributor authorErnst Heinrich Knickmeyer
    date accessioned2017-05-08T21:01:33Z
    date available2017-05-08T21:01:33Z
    date copyrightAugust 2000
    date issued2000
    identifier other%28asce%290733-9453%282000%29126%3A3%2883%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/35827
    description abstractA number of parameterizations of rotations in three-dimensional space are compared with respect to their formulas and qualitative characteristics relevant for practical use. The number and uniqueness of parameters, singularities, visualization, and constraint equations within one parameter set are considered. Formulas are given for the transformation to and from rotation matrices and symmetric Euler parameters as well as for the rotation of a vector, the inverse rotation, the combination of two rotations, and the kinematic differential equations. The list of parameters includes the five-parametric Hopf parameters. Symmetric rotation matrices are treated separately. All properties are given in comprehensive tables with formulas ready for programming.
    publisherAmerican Society of Civil Engineers
    titleRotation Parameters—a Survey of Techniques
    typeJournal Paper
    journal volume126
    journal issue3
    journal titleJournal of Surveying Engineering
    identifier doi10.1061/(ASCE)0733-9453(2000)126:3(83)
    treeJournal of Surveying Engineering:;2000:;Volume ( 126 ):;issue: 003
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian