Random uncertainty propagation in estimates of sphere parameters from coordinate measurements

D F Zhang, P G Maropoulos, M Hill

    Research output: Contribution to journalArticle

    Abstract

    Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.
    Original languageEnglish
    Pages (from-to)1362-1368
    Number of pages7
    JournalInternational Journal of Machine Tools and Manufacture
    Volume46
    Issue number12-13
    DOIs
    Publication statusPublished - Oct 2006

    Fingerprint

    Random errors
    Sampling
    Calibration
    Uncertainty

    Cite this

    @article{1b84c2659c46492f9aae16a867ac7655,
    title = "Random uncertainty propagation in estimates of sphere parameters from coordinate measurements",
    abstract = "Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.",
    author = "Zhang, {D F} and Maropoulos, {P G} and M Hill",
    year = "2006",
    month = "10",
    doi = "10.1016/j.ijmachtools.2005.10.008",
    language = "English",
    volume = "46",
    pages = "1362--1368",
    journal = "International Journal of Machine Tools and Manufacture",
    issn = "0890-6955",
    publisher = "Elsevier",
    number = "12-13",

    }

    Random uncertainty propagation in estimates of sphere parameters from coordinate measurements. / Zhang, D F; Maropoulos, P G; Hill, M.

    In: International Journal of Machine Tools and Manufacture, Vol. 46, No. 12-13, 10.2006, p. 1362-1368.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Random uncertainty propagation in estimates of sphere parameters from coordinate measurements

    AU - Zhang, D F

    AU - Maropoulos, P G

    AU - Hill, M

    PY - 2006/10

    Y1 - 2006/10

    N2 - Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.

    AB - Measurements of reference spheres are widely used in verification and calibration of coordinate measuring systems. In this paper, a model for the propagation of random errors in the estimation of sphere parameters is outlined. The dependence of the error propagation on sampling area and sample density is demonstrated using both simulated and measured data. The model can be used to characterise the random error of a coordinate measurement system. It can also be used to determine the error limits on a single sphere parameter estimate or to determine the required sampling strategy to ensure that the confidence limits on an estimate remain within predetermined bounds.

    UR - https://www.sciencedirect.com/science/article/pii/S0890695505002853?via%3Dihub

    U2 - 10.1016/j.ijmachtools.2005.10.008

    DO - 10.1016/j.ijmachtools.2005.10.008

    M3 - Article

    VL - 46

    SP - 1362

    EP - 1368

    JO - International Journal of Machine Tools and Manufacture

    JF - International Journal of Machine Tools and Manufacture

    SN - 0890-6955

    IS - 12-13

    ER -