Abstract

Diffuse optical imaging (DOI) for detecting and locating targets in a highly scattering turbid medium is treated as a blind source separation (BSS) problem. Three matrix decomposition methods, independent component analysis (ICA), principal component analysis (PCA), and nonnegative matrix factorization (NMF) were used to study the DOI problem. The efficacy of resulting approaches was evaluated and compared using simulated and experimental data. Samples used in the experiments included Intralipid-10% or Intralipid-20% suspension in water as the medium with absorptive or scattering targets embedded.

Highlights

  • Diffuse optical imaging (DOI) for detection and retrieval of location information of targets in a highly scattering turbid medium may be treated as a blind source separation (BSS) problem [1, 2]

  • The positions and optical strengths of the targets retrieved by independent component analysis (ICA), principal component analysis (PCA), and nonnegative matrix factorization (NMF)

  • Diffusive optical imaging was modeled as a BSS problem

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Summary

Introduction

Diffuse optical imaging (DOI) for detection and retrieval of location information of targets in a highly scattering turbid medium may be treated as a blind source separation (BSS) problem [1, 2]. Various matrix decomposition methods, such as, independent component analysis (ICA) [3], principal component analysis (PCA) [4], and nonnegative matrix factorization (NMF) [5, 6] have been developed for solving the BSS problem and retrieving desired information. NMF seeks to factorize a matrix into two nonnegative matrices (component signals and weights) and requires the contributions to signal and the weights of the components to be non-negative. It does not imply any relationship between the components. NMF has been widely used in biological analysis [15] and spectral analysis [16]

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