Application of the finite-element method for the forward and inverse models in optical tomography
Copyright policy )Application of the finite-element method for the forward and inverse models in optical tomography
The authors introduce a model for the simulation of photon propagation in a biological tissue. The reconstruction problem is ill-posed because of scatter-dominated photon propagation. The iterative image recovery algorithm described in this paper uses a numerical finite element solution to the diffusion equation. The advantage of the numerical solution approach is its flexibility. It can be applied to more complex geometries and inhomogeneous parameter distributions, which is essential for use in an iterative reconstruction method. The authors have developed two- and three-dimensional versions of the model for circular and cylindrical tissue samples. Only the two- dimensional model is used in the solution method for the inverse problem. Numerical results and computer graphics are presented.
- University College London United Kingdom
Biomedical imaging and signal processing, diffusion equation, Heat equation, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, numerical results, optical tomography, image reconstruction, Numerical methods for ill-posed problems for integral equations, ill-posed problems, iterative image recovery algorithm, finite element, simulation of photon propagation, computer graphics, inverse problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for integral transforms, Radon transform
Biomedical imaging and signal processing, diffusion equation, Heat equation, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, numerical results, optical tomography, image reconstruction, Numerical methods for ill-posed problems for integral equations, ill-posed problems, iterative image recovery algorithm, finite element, simulation of photon propagation, computer graphics, inverse problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for integral transforms, Radon transform
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