A adaptive parameter selection strategy based on maximizing the
probability of data for robust fluorescence molecular tomography
reconstruction
Abstract
To alleviate the ill-posed of the inverse problem in Fluorescent
molecular tomography (FMT), many regularization methods based on L 2 or
L 1 norm have been proposed. Whereas, the quality of regularization
parameters affect the performance of the reconstruction algorithm. Some
classical parameter selection strategies usually need initialization of
parameter range and high computing costs, which is not universal in the
practical application of FMT. In this paper, an universally applicable
adaptive parameter selection method based on maximizing the probability
of data (MPD) strategy was proposed. This strategy used maximum a
posteriori (MAP) estimation and maximum likelihood (ML) estimation to
establish a regularization parameters model. The stable optimal
regularization parameters can be determined by multiple iterative
estimates. Numerical simulations and in vivo experiments show
that MPD strategy can obtain stable regularization parameters for both
regularization algorithms based on L 2 or L 1 norm and achieve good
reconstruction performance.