SBL-LCGL: sparse Bayesian learning based on Laplace distribution for robust cone-beam x-ray luminescence computed tomography

Abstract Objective: To address the quality and accuracy issues in the distribution of nanophosphors using Cone-beam X-ray luminescence computed tomography (CB-XLCT) by proposing a novel reconstruction strategy. Approach: This paper introduces a sparse Bayesian learning reconstruction method termed SBL-LCGL, which is grounded in the Lipschitz continuous gradient condition and the Laplace prior to overcome the ill-posed inverse problem inherent in CB-XLCT. Main results: The SBL-LCGL method has demonstrated its effectiveness in capturing the sparse features of nanophosphors and mitigating the computational complexity associated with matrix inversion. Both numerical simulation and in vivo experiments confirm that the method yields satisfactory imaging results regarding the position and shape of the targets. Significance: The advancements presented in this work are expected to enhance the clinical applicability of CB-XLCT, contributing to its broader adoption in medical imaging and diagnostics.