Fluorescent molecular tomographic image reconstruction based on the Green’s function

Abstract

The rapid and accurate computation of the Jacobian matrix, which is usually computationally intensive, is of critical importance for the reconstruction problem of fluorescent molecular tomography (FMT). An extension of the Green’s function method for the Jacobian matrix computation suitable for two coupled differential equations is proposed, in combination with the parallel forward computing strategy for FMT image reconstruction. For further acceleration of the reconstruction process without significant quality reduction of the results, we also propose to reconstruct the FMT image on an adaptively refined mesh generated with a priori information incorporated. Experimental results demonstrate that the speed of the reconstruction process can be significantly improved with the proposed overall algorithm.