A parametric level set method (PaLS) is implemented for image reconstruction for hyperspectral diffuse optical tomography (DOT). Chromophore concentrations and diffusion amplitude are recovered using a linearized Born approximation model and employing data from over 100 wavelengths. The images to be recovered are taken to be piecewise constant and a newly introduced, shape-based model is used a...

A new optimal control control problem that incorporates the residual of the Eikonal equation into its objective is presented. The formulation of the state equation is based on the level set transport equation but extended by an additional source term, correcting the solution so as to minimize the objective functional. The method enforces the constraint so that the interface cannot be displaced....

A partial differential-equation based reinitialization method is presented in the framework of a localized level set method. Two formulations of the new reinitialization scheme are derived. These formulations are modifications of the partial differential equation introduced by Sussman et al. [J. Comp. Phys. 114 (1994), 146-159] and, in particular, improvements of the second-order accurate modif...