ArticlePhysics in medicine and biology2015
An extended analytical approach for diffuse optical imaging.
Article in Physics in medicine and biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Self-Guided Algorithm for Fast Image Reconstruction in Photo-Magnetic Imaging: Artificial Intelligence-Assisted Approach.Bioengineering (Basel, Switzerland) · 2024Article
- Fast ICCD-based temperature modulated fluorescence tomography.Applied optics · 2023Article
- Development of a preclinical CCD-based temperature modulated fluorescence tomography platform.Biomedical optics express · 2022Article
- Multi-Wavelength Photo-Magnetic Imaging System for Photothermal Therapy Guidance.Lasers in surgery and medicine · 2021Article
- Ex vivo validation of photo-magnetic imaging.Optics letters · 2017Article
- An accelerated photo-magnetic imaging reconstruction algorithm based on an analytical forward solution and a fast Jacobian assembly method.Physics in medicine and biology · 2016Article
- Real-time photo-magnetic imaging.Biomedical optics express · 2016Article
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Authors and funding
4 authors.
Funding
Abstract
In this work, we introduce an analytical method to solve the diffusion equation in a cylindrical geometry. This method is based on an integral approach to derive the Green's function for specific boundary conditions. Using our approach, we obtain comprehensive analytical solutions with the Robin boundary condition for diffuse optical imaging in both two and three dimensions. The solutions are expressed in terms of the optical properties of tissue and the amplitude and position of the light source. Our method not only works well inside the tissue but provides very accurate results near the tissue boundaries as well. The results obtained by our method are first compared with those obtained by a conventional analytical method then validated using numerical simulations. Our new analytical method allows not only implementation of any boundary condition for a specific problem but also fast simulation of light propagation making it very suitable for iterative image reconstruction algorithms.
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