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Coded aperture imaging: a Fourier space analysis.

K A Nugent

    Applied Optics
    |May 11, 2010
    PubMed
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    This summary is machine-generated.

    Artifact-free 3-D imaging using coded apertures requires specific conditions. A finite array limits spatial frequencies, necessitating data extrapolation for higher resolution 3-D information.

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    Area of Science:

    • Optics
    • Image Reconstruction
    • Computational Imaging

    Background:

    • Coded aperture imaging offers a unique approach to 3-D reconstruction.
    • Understanding the limitations of finite aperture arrays is crucial for accurate imaging.

    Purpose of the Study:

    • To analyze coded aperture imaging in Fourier space.
    • To determine conditions for artifact-free 3-D image acquisition.
    • To establish a sampling theorem for coded apertures.

    Main Methods:

    • Fourier space analysis of coded aperture imaging.
    • Coordinate transformation for finite aperture arrays.
    • Deduction of sampling theorem based on spatial frequency limitations.

    Main Results:

    • Infinite square arrays of coding apertures satisfy artifact-free conditions.
    • Finite arrays bandlimit spatial frequencies after coordinate transformation.
    • A sampling theorem for coded apertures is derived, defining information limits.

    Conclusions:

    • Finite coded aperture arrays inherently limit achievable 3-D information resolution.
    • Extrapolation of data to larger viewing angles is necessary for resolutions beyond derived limits.