Two-dimensional inverse problem of diffusion tomography: the approach applicable for small inclusions

Area of Science:

• Biomedical Optics
• Image Reconstruction
• Scattering Media Imaging

Background:

• Optical diffusion tomography faces challenges in imaging small features within highly scattering biological tissues.
• Reconstructing accurate images from limited or noisy optical measurements is a significant hurdle.

Purpose of the Study:

• To develop and validate a novel method for solving two-dimensional inverse problems in optical diffusion tomography.
• To enable the imaging of small inclusions embedded in strongly scattering backgrounds.

Main Methods:

• The study proposes a new computational method for solving the inverse problem in optical diffusion tomography.
• Numerical simulations were employed to assess the method's performance and stability.

Main Results:

• The proposed method demonstrates stability against external noise at the sample boundary.
• Accurate localization of inclusions was achieved, with errors on the order of several photon transport mean-free paths.
• The method's robustness was confirmed in simulations with both clean and noisy scattering data.

Conclusions:

• The developed method offers a reliable approach for imaging small inclusions in challenging scattering environments.
• The technique shows promise for applications requiring precise localization of subsurface features using optical diffusion tomography.