Bioluminescence tomography (BLT) reconstruction is an ill-posed problem. A class of strategy based on the permissible region (PR) reduces the ill-posed by reducing the space. However, in multi-objective reconstruction, the strategy is challenging to fit the sources of different positions. In this study, a subspace decision (SD) method is proposed, which transforms the traditional single permissible region into multiple spatially continuous subspaces by clustering, and performs spatial shrinkage optimization for each of them. In addition, a plug-and-play sliding single polyline module is introduced to analyze and cluster the reconstruction results each time to obtain the number and distribution of subspaces contained in the results. SD method does not rely on any specific reconstruction or clustering algorithm, so it has great flexibility. Experiment results show that the SD approach can more accurately obtain the spatial distribution information of different numbers of sources distributed in different locations and ensure the quality of multi-source BLT reconstruction. Keywords: Bioluminescence Tomography, Inverse Problem, Subspace, Clustering, Permissible Region.
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