Linear multispectral absorption tomography based on regularized iterative methods

On the modified iterative methods for $M$-matrix linear systems

This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

Multispectral reconstruction methods for quantitative photoacoustic tomography

We propose a novel multispectral reconstruction-classification method for simultaneously recovering absorption and scattering coefficients from images of absorbed optical energy. In contrast with pre-existing chromophore reconstruction methods, this approach does not require prior knowledge of the characteristic spectra of the absorbers, which is not always available. Numerical experiments perf...

Fast iterative image reconstruction methods for fully 3D multispectral bioluminescence tomography.

We investigate fast iterative image reconstruction methods for fully 3D multispectral bioluminescence tomography for applications in small animal imaging. Our forward model uses a diffusion approximation for optically inhomogeneous tissue, which we solve using a finite element method (FEM). We examine two approaches to incorporating the forward model into the solution of the inverse problem. In...

Iterative methods for solving non linear Fokker-Planck equation

Regularized Iterative Reconstruction in Tensor Tomography Using Gradient Constraints

This paper investigates the iterative reconstruction of tensor fields in diffusion tensor magnetic resonance imaging (MRI). The gradient constraints on eigenvalue and tensor component images of the diffusion tensor were exploited. A computer-generated phantom was used in order to simulate the diffusion tensor in a cardiac MRI study with a diffusion model that depends on the fiber structure of t...