J Biomed Opt. 2013 Mar;18(3):030503. doi: 10.1117/1.JBO.18.3.030503.
Typical image-guided diffuse optical tomographic image reconstruction procedures involve reduction of the number of optical parameters to be reconstructed equal to the number of distinct regions identified in the structural information provided by the traditional imaging modality. This makes the image reconstruction problem less ill-posed compared to traditional underdetermined cases. Still, the methods that are deployed in this case are same as those used for traditional diffuse optical image reconstruction, which involves a regularization term as well as computation of the Jacobian. A gradient-free Nelder-Mead simplex method is proposed here to perform the image reconstruction procedure and is shown to provide solutions that closely match ones obtained using established methods, even in highly noisy data. The proposed method also has the distinct advantage of being more efficient owing to being regularization free, involving only repeated forward calculations.
典型的基于图像引导的漫射光学断层成像图像重建过程包括将待重建的光参数数量减少到与传统成像方式提供的结构信息中确定的不同区域数量相等。与传统的欠定情况相比，这使得图像重建问题的不适定性更小。尽管如此，在这种情况下使用的方法与用于传统漫射光学图像重建的方法相同，这涉及正则化项以及雅可比矩阵的计算。这里提出了一种无梯度Nelder-Mead 单形法来执行图像重建过程，并证明即使在高度噪声数据的情况下，它也能提供与使用现有方法获得的结果非常匹配的解决方案。由于没有正则化，该方法还具有效率更高的明显优势，仅涉及重复的正向计算。
