Patent ID: 8468189

Claim:
A method for providing reliable solutions to multicomponent inverse problems comprising the steps of: carrying out each of the following steps in a processing unit of a computer; given a multicomponent inverse problem, determining reliable prior knowledge about its solution, determining an initial guess for a solution, and determining a corresponding forward operator; given measured data, deciding upon a model for the stochasticity of the data; deciding upon which component-wise reconstruction/regularization method to use for recovering each component separately based on said prior knowledge of the solution, said model for the stochasticity of the data, and said forward operator; deciding upon an updating scheme for the component-wise prior knowledge of the solution based on said component-wise reconstruction/regularization method; deciding upon a component-wise updating scheme for parameters of said component-wise regularization/reconstruction method based on said model for the stochasticity of the data, said pre-processed data, and said updated component-wise prior knowledge of the solution; and producing a sequence which is obtained by intertwining two sequences, the first of the sequences from an iterated reconstruction/regularization method and the second of the sequences from a component-wise reconstruction/regularization method using said reconstruction/regularization method for each component separately and applying said updating schemes for the component-wise prior knowledge of the solution and reconstruction/regularization parameters.