Accelerated boundary element method for diffuse optical imaging.

Area of Science:

• Biomedical Optics
• Computational Physics
• Medical Imaging

Background:

• Diffuse optical imaging (DOI) relies on the boundary element method (BEM) for modeling large, piecewise constant optical regions.
• BEM in DOI is computationally expensive, limiting its practical application.
• Accelerating BEM is crucial for efficient DOI analysis.

Purpose of the Study:

• To present an acceleration technique for BEM in highly lossy media relevant to DOI.
• To demonstrate the enhanced practicability of BEM in DOI using the proposed method.
• To validate the computational efficiency through theoretical predictions and experimental results.

Main Methods:

• Implementation of the single-level fast multipole method (FMM) to accelerate BEM computations.
• Application of the enhanced BEM-FMM to single-layer DOI problems.
• Testing on a realistic three-layer neonatal head model to assess performance in a complex scenario.

Main Results:

• Achieved order-of-magnitude reductions in solution time for BEM in DOI.
• Demonstrated significant acceleration for highly lossy media.
• Experimental results closely matched theoretical predictions of computational complexity.

Conclusions:

• The single-level fast multipole method effectively accelerates BEM for DOI.
• This acceleration enhances the practicability of BEM for complex optical imaging scenarios.
• The method offers substantial computational savings, making DOI more feasible.