Space-varying restoration of diffuse optical tomograms reconstructed by the filtered backprojection algorithm

Alexander B. Konovalov; Dmitry V. Mogilenskikh; Vladimir V. Lyubimov

doi:10.1117/12.632874

7 October 2005 Space-varying restoration of diffuse optical tomograms reconstructed by the filtered backprojection algorithm

Alexander B. Konovalov, Dmitry V. Mogilenskikh, Vladimir V. Lyubimov

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Proceedings Volume 5859, Photon Migration and Diffuse-Light Imaging II; 585918 (2005) https://doi.org/10.1117/12.632874
Event: European Conferences on Biomedical Optics 2005, 2005, Munich, Germany

Abstract

Possibility is investigated to enhance spatial resolution of diffuse optical tomograms reconstructed by the photon average trajectories (PAT) method. The PAT method is based on a concept of average statistical trajectory of light energy transfer from point source to point detector. The inverse problem of diffuse optical tomography reduces to solution of an integral equation with integration by conventional PAT. In the result for reconstruction of diffuse optical images the conventional algorithms of projection tomography can be applied, including filtered backprojection algorithm. The shortcoming of the PAT method is that it reconstructs images blurred in the result of averaging by photons spatial distribution contributing into the signal measured by a detector. To enhance resolution we apply a spatially variant blur model based on interpolation of spatially invariant point spread functions simulated for different image regions. To restore tomograms two iterative algorithms for solution of system of linear algebraic equations are used: conjugate gradient algorithm for least squares problems and modified residual norm steepest descent algorithm. It is shown that one can achieve 27% enhancement of spatial resolution.

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Alexander B. Konovalov, Dmitry V. Mogilenskikh, and Vladimir V. Lyubimov "Space-varying restoration of diffuse optical tomograms reconstructed by the filtered backprojection algorithm", Proc. SPIE 5859, Photon Migration and Diffuse-Light Imaging II, 585918 (7 October 2005); https://doi.org/10.1117/12.632874

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KEYWORDS

Reconstruction algorithms

Acquisition tracking and pointing

Point spread functions

Detection and tracking algorithms

Inverse optics

Sensors

Spatial resolution

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