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    The effect of windowing in Fourier transform profilometry applied to noisy images

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    Authors
    Berryman, Fiona
    Pynsent, Paul
    Cubillo, James
    Issue Date
    2004
    
    Metadata
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    Abstract
    This paper analyses the effectiveness of windowing to reduce errors in Fourier transform profilometry (FTP). Various levels of random noise have been added to simulated digital images of a spherical dome illuminated by fringes projected from an offset angle. The noisy images have been analysed using FTP with various window functions applied to the data before the forward Fourier transform. The theoretical dome was subtracted from the reconstructed domes to give error maps. The maximum and root mean square errors were calculated and plotted against the added noise level. At very low levels of added noise applying a pre-transform window produced considerably lower errors, nearly 50% lower for the Blackman window with no added noise. However, above around 10% added noise the reductions in the errors were reduced to only a few per cent. Whether pre-transform windowing is worthwhile therefore depends strongly on the noise content of the images.
    Citation
    Optics and Lasers in Engineering, 41(6): 815-825
    Publisher
    Elsevier Science Direct
    Journal
    Optics and Lasers in Engineering
    URI
    http://hdl.handle.net/2436/23572
    DOI
    10.1016/S0143-8166(03)00061-7
    Additional Links
    http://www.sciencedirect.com/science/journal/01438166
    Type
    Journal article
    Language
    en
    ae974a485f413a2113503eed53cd6c53
    10.1016/S0143-8166(03)00061-7
    Scopus Count
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    Faculty of Science and Engineering

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