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Diffraction tomography using arbitrary transmitter and receiver surfaces.

A J Devaney, G Beylkin

    Ultrasonic Imaging
    |April 1, 1984
    PubMed
    Summary
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    This study presents diffraction tomography theory and algorithms for 2D objects, applicable to various measurement boundaries and wave types. The methods are extendable to 3D objects, advancing imaging capabilities.

    Area of Science:

    • Physics
    • Applied Mathematics
    • Imaging Science

    Background:

    • Diffraction tomography is a powerful imaging technique.
    • Existing methods often have limitations regarding measurement boundaries and wave types.
    • The Born approximation is a common simplification in scattering problems.

    Purpose of the Study:

    • To extend diffraction tomography theory to handle arbitrarily shaped measurement boundaries.
    • To develop reconstruction algorithms for plane wave and cylindrical wave insonification.
    • To demonstrate the applicability of the theory and algorithms to both 2D and 3D objects.

    Main Methods:

    • Development of diffraction tomography theory under the Born approximation.
    • Formulation of reconstruction algorithms for parallel and fan beam geometries.

    Related Experiment Videos

  • Analysis of boundary conditions for line and circle shaped measurement and source boundaries.

    • Main Results:

    • A generalized diffraction tomography framework accommodating arbitrary measurement boundaries.
    • Effective reconstruction algorithms for specific boundary shapes (lines, circles).
    • Demonstration of the theory's scalability to three-dimensional objects.

    Conclusions:

    • The presented diffraction tomography framework offers enhanced flexibility for object reconstruction.
    • The developed algorithms provide robust solutions for various insonification and boundary conditions.
    • The extension to 3D objects broadens the applicability of this tomographic approach.