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Three-dimensional unconstrained and constrained image-reconstruction techniques applied to fluorescence, frequency-domain photon migration

机译：应用于荧光，频域光子迁移的三维无约束和约束图像重建技术

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摘要

The development of near-infrared (NIR) optical imaging for biomedical optical imaging is hampered by the computational intensiveness of large-scale three-dimensional (3-D) image reconstruction and the potential lack of endogenous contrast for detection of relevant tissue features. In this contribution the inverse optical imaging problem is formulated in three dimensions in a noncompressive geometry as a simple-bound constrained minimization problem in order to recover the interior fluorescence properties of exogenous contrast agent from frequency-domain photon migration measurements at the boundary. The solution of the forward optical diffusion problem for the frustum shape containing fluorescence inclusions of 10:1 contrast is accomplished by use of the Galerkin finite-element formulation. The inverse approach employs the truncated Newton method with trust region and a modification of automatic reverse differentiation to speed the computation of the optimization problem. The image-reconstruction results confirm that the constrained minimization may offer a more logical approach for the 3-D optical imaging problem than unconstrained optimization.
机译：用于生物医学光学成像的近红外（NIR）光学成像的发展受到大规模三维（3-D）图像重建的计算强度以及检测相关组织特征的潜在内源性对比度缺乏的阻碍。在这一贡献中，逆光学成像问题以非压缩几何结构的三个维度表示为简单约束最小化问题，以便从边界处的频域光子迁移测量中恢复外源造影剂的内部荧光特性。通过使用Galerkin有限元公式，可以解决包含10：1对比度荧光夹杂物的平​​截头体形状的正向光学扩散问题。逆方法采用具有信任区域的截断牛顿法和自动逆微分的修改，以加快优化问题的计算速度。图像重建结果证实，与无约束优化相比，约束最小化可以为3-D光学成像问题提供更具逻辑性的方法。

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