Abstract

Discrete form sensitivity functions are derived for a number of measurement types employed in autocorrelation-based ultrasound-modulated optical tomography. The Jacobian for a particular problem is constructed from the set of such sensitivity functions arising from a raster scan of a focused ultrasound field through a turbid medium. A linear reconstruction of an absorption perturbation is performed in a simulated difference data experiment, and the performance of the measurement types is compared under different degrees of added noise.

Highlights

  • The purpose of imaging and sensing techniques such as ultrasound-modulated optical tomography (UOT) is the production of images or spatially defined quantitative measurements of some parameter of interest

  • We explore the correlation measurement density functions (CMDFs) which arise in correlation-based UOT

  • The sensitivity functions and associated reconstructed images presented in this work provide considerable insight into the potential of autocorrelation-based UOT

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Summary

Introduction

The purpose of imaging and sensing techniques such as ultrasound-modulated optical tomography (UOT) is the production of images or spatially defined quantitative measurements of some parameter of interest. In the field of optical biomedical imaging, this is typically an image of the optical absorption coefficient within a diffuse medium at a particular wavelength. When multiple wavelengths are employed, the data may be combined via knowledge of the absorption spectra of various chromophores to form physiologically relevant images of, for example, oxygen saturation

Sensitivity and Image Reconstruction in UOT
Autocorrelation Measurement in UOT
Linear Image Reconstruction
Forward Model
Finite-element implementation
Correlation Measurement Density Functions and the Jacobian
Modulation depth CMDFs and Jacobian
Regularization
Correlation Measurement Density Functions
Linear Reconstruction
Discussion and Conclusions
Future Work
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