Fluorescence-molecular-tomography rebuilding method based on random-variable alternating direction multiplier method

Abstract

The invention discloses a fluorescence-molecular-tomography rebuilding method based on a random-variable alternating direction multiplier method. The mode of the alternating direction multiplier method is converted into a random parameter mode with the randomness and the decomposability of the random dual coordinate descent method, and then solving is carried out through parameter alternating updating of the random-parameter alternating direction multiplier method; the fluorescence-molecular-tomography rebuilding method includes the following achieving steps that (1) large-scale fluorescence data is collected; (2) the linear relationship between measurement data and target distribution is built; (3) the linear relationship is converted into the convex optimization problem; (4) the convex optimization problem is solved in an alternated mode with the random-parameter dual coordinate descent method and the random-parameter alternating direction multiplier method, and a target distribution diagram and rebuilding time are obtained. The rebuilding efficiency of fluorescence molecular tomography is effectively improved while the quality of rebuilt images is guaranteed, and the fluorescence-molecular-tomography rebuilding method has the important application value in the field of medical molecular images, the field of rebuilding methods and the like.

Description

technical field [0001] The invention belongs to the field of molecular imaging, and relates to a reconstruction method of fluorescence molecular tomography based on random variable alternating direction multiplier method. Background technique [0002] Fluorescence molecular tomography (hereinafter referred to as FMT) is a new imaging modality developed in recent years. It uses an external light source to excite fluorescent probes (fluorophores, fluorescent dyes, etc.) to emit photons, and uses a fluorescence acquisition device to collect fluorescence signals. Combined with mathematical models, the inversion algorithm can be used to reconstruct the position and concentration distribution of fluorophores in vivo. A charge coupled device (CCD) full-angle non-contact imaging system is usually used to collect mouse fluorescence projection data. FMT reconstruction is a highly ill-conditioned inverse problem, and large-scale multi-projection fluorescence data can reduce the patholo...

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