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Scattering and absorption transport sensitivity functions for optical tomography.

O Dorn

    Optics Express
    |May 2, 2009
    PubMed
    Summary
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    3D level set reconstruction of model and experimental data in Diffuse Optical Tomography.

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    Optical tomography uses transport sensitivity functions to model inverse problems. This research reveals how these functions enable efficient data backprojection, similar to X-ray tomography, for improved imaging.

    Area of Science:

    • Medical Imaging
    • Computational Physics
    • Inverse Problems

    Background:

    • Optical tomography reconstructs internal properties using light measurements.
    • It is often formulated as an inverse problem involving the transport equation.
    • Understanding sensitivity is crucial for accurate image reconstruction.

    Purpose of the Study:

    • To model optical tomography as an inverse problem using the time-dependent linear transport equation.
    • To decompose the residual operator into absorption and scattering transport sensitivity functions.
    • To interpret the adjoint linearized residual operator and the backtransport procedure.

    Main Methods:

    • Decomposition of the linearized residual operator.
    • Analysis of absorption and scattering transport sensitivity functions.

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  • Interpretation of the adjoint linearized residual operator and backtransport procedure.
  • Main Results:

    • The adjoint linearized residual operator is analogous to the backprojection operator in X-ray tomography.
    • Absorption and scattering transport sensitivity functions define the backprojection patterns.
    • The backtransport procedure offers an efficient method for simultaneous residual backprojection.

    Conclusions:

    • Transport sensitivity functions provide a unified framework for understanding optical tomography.
    • The adjoint operator and backtransport procedure offer computational advantages for image reconstruction.
    • Numerical examples demonstrate the utility of these functions, including for complex scenarios like voids.