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A numerical study of gradient-based nonlinear optimization methods for contrast enhanced optical tomography.

R Roy, E Sevick-Muraca

|May 8, 2009

Summary

This summary is machine-generated.

The truncated-Newton (TN) method outperforms the nonlinear conjugate gradient (NCG) method for fluorescence lifetime reconstruction in optical tomography. Both methods perform well for absorption coefficient recovery.

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Area of Science:

Biomedical Engineering
Medical Imaging
Computational Science

Background:

Contrast-enhanced optical tomography is a crucial imaging technique.
Gradient-based optimization methods are essential for reconstructing parameters in optical tomography.
Understanding the performance of different numerical methods is vital for accurate imaging.

Purpose of the Study:

To compare the numerical performance of truncated-Newton (TN) and nonlinear conjugate gradient (NCG) methods.
To evaluate these methods under conditions specific to contrast-enhanced optical tomography.
To determine method suitability based on the parameter being reconstructed (fluorescence lifetime vs. absorption coefficient).

Main Methods:

Numerical performance evaluation of TN and NCG algorithms.
Application to a specific dataset for contrast-enhanced optical tomography.
Comparison based on error functions and reconstructed parameters.

Main Results:

The TN method demonstrated superior performance over the NCG method when reconstructing fluorescence lifetime maps.
Both TN and NCG methods exhibited comparable and good performance when the absorption coefficient was the target parameter.
Method efficacy is dependent on the specific error functions and parameters of the optical tomography problem.

Conclusions:

The choice between TN and NCG methods in optical tomography should be guided by the specific reconstruction task.
TN is recommended for fluorescence lifetime imaging, while both methods are suitable for absorption coefficient recovery.
This comparative analysis provides valuable insights for optimizing numerical strategies in optical tomography.