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Efficient inversion strategies for estimating optical properties with Monte Carlo radiative transport models

Macdonald, Callum M.; Arridge, Simon; Powell, Samuel

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Authors

Callum M. Macdonald

Simon Arridge

Samuel Powell



Abstract

Significance: Indirect imaging problems in biomedical optics generally require repeated evaluation of forward models of radiative transport, for which Monte Carlo is accurate yet computationally costly. We develop an approach to reduce this bottleneck, which has significant implications for quantitative tomographic imaging in a variety of medical and industrial applications.

Aim: Our aim is to enable computationally efficient image reconstruction in (hybrid) diffuse optical modalities using stochastic forward models.

Approach: Using Monte Carlo, we compute a fully stochastic gradient of an objective function for a given imaging problem. Leveraging techniques from the machine learning community, we then adaptively control the accuracy of this gradient throughout the iterative inversion scheme to substantially reduce computational resources at each step.

Results: For example problems of quantitative photoacoustic tomography and ultrasound-modulated optical tomography, we demonstrate that solutions are attainable using a total computational expense that is comparable to (or less than) that which is required for a single high-accuracy forward run of the same Monte Carlo model.

Conclusions: This approach demonstrates significant computational savings when approaching the full nonlinear inverse problem of optical property estimation using stochastic methods.

Citation

Macdonald, C. M., Arridge, S., & Powell, S. (2020). Efficient inversion strategies for estimating optical properties with Monte Carlo radiative transport models. Journal of Biomedical Optics, 25(08), https://doi.org/10.1117/1.jbo.25.8.085002

Journal Article Type Article
Acceptance Date Jul 23, 2020
Online Publication Date Aug 14, 2020
Publication Date 2020-08
Deposit Date Aug 14, 2020
Publicly Available Date Mar 28, 2024
Journal Journal of Biomedical Optics
Print ISSN 1083-3668
Electronic ISSN 1560-2281
Publisher Society of Photo-optical Instrumentation Engineers
Peer Reviewed Peer Reviewed
Volume 25
Issue 08
Article Number 085002
DOI https://doi.org/10.1117/1.jbo.25.8.085002
Keywords Atomic and Molecular Physics, and Optics; Electronic, Optical and Magnetic Materials; Biomaterials; Biomedical Engineering
Public URL https://nottingham-repository.worktribe.com/output/4830671
Publisher URL https://www.spiedigitallibrary.org/journals/journal-of-biomedical-optics/volume-25/issue-08/085002/Efficient-inversion-strategies-for-estimating-optical-properties-with-Monte-Carlo/10.1117/1.JBO.25.8.085002.full?SSO=1