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Hybrid Multilevel Sparse Reconstruction for a Whole Domain Bioluminescence Tomography Using Adaptive Finite Element

机译:使用自适应有限元的全域生物发光层析成像的混合多级稀疏重建。

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摘要

Quantitative reconstruction of bioluminescent sources from boundary measurements is a challenging ill-posed inverse problem owing to the high degree of absorption and scattering of light through tissue. We present a hybrid multilevel reconstruction scheme by combining the ability of sparse regularization with the advantage of adaptive finite element method. In view of the characteristics of different discretization levels, two different inversion algorithms are employed on the initial coarse mesh and the succeeding ones to strike a balance between stability and efficiency. Numerical experiment results with a digital mouse model demonstrate that the proposed scheme can accurately localize and quantify source distribution while maintaining reconstruction stability and computational economy. The effectiveness of this hybrid reconstruction scheme is further confirmed with in vivo experiments.
机译:由于通过组织对光的吸收和散射程度高,从边界测量结果定量重建生物发光源是一个具有挑战性的不适定逆问题。通过结合稀疏正则化能力和自适应有限元方法的优势,我们提出了一种混合多级重构方案。鉴于不同离散化水平的特点,在初始粗糙网格和后续粗糙网格上采用两种不同的反演算法,以求在稳定性和效率之间取得平衡。数字鼠标模型的数值实验结果表明,该方案能够在保持重建稳定性和计算经济性的同时,准确地定位和量化源分布。体内实验进一步证实了这种杂交重建方案的有效性。

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