Uddin K M Shihab, Mostafa Atahar, Anastasio Mark, Zhu Quing
Biomedical Engineering Department, Washington University in St. Louis, 1 Brookings Dr, St. Louis, MO 63130, USA.
Biomed Opt Express. 2017 Nov 8;8(12):5437-5449. doi: 10.1364/BOE.8.005437. eCollection 2017 Dec 1.
Due to the correlated nature of diffused light, the problem of reconstructing optical properties using diffuse optical tomography (DOT) is ill-posed. US-, MRI- or x-ray-guided DOT approaches can reduce the total number of parameters to be estimated and improve optical reconstruction accuracy. However, when the target volume is large, the number of parameters to estimate can exceed the number of measurements, resulting in an underdetermined imaging model. In such cases, accurate image reconstruction is difficult and regularization methods should be employed to obtain a useful solution. In this manuscript, a simple two-step reconstruction method that can produce useful image estimates in DOT is proposed and investigated. In the first step, a truncated Moore-Penrose Pseudoinverse solution is computed to obtain a preliminary estimate of the image that can be reliably determined from the measured data; subsequently, this preliminary estimate is incorporated into the design of a penalized least squares estimator that is employed to compute the final image estimate. By use of phantom data, the proposed method was demonstrated to yield more accurate images than those produced by conventional reconstruction methods. The method was also evaluated with clinical data that included 10 benign and 10 malignant cases. The capability of reconstructing high contrast malignant lesions was demonstrated to be improved by use of the proposed method.
由于漫射光的相关性,利用扩散光学断层扫描(DOT)重建光学特性的问题是不适定的。超声、磁共振成像或X射线引导的DOT方法可以减少待估计参数的总数并提高光学重建精度。然而,当目标体积较大时,待估计的参数数量可能会超过测量数量,导致成像模型欠定。在这种情况下,准确的图像重建很困难,应采用正则化方法来获得有用的解。在本论文中,提出并研究了一种简单的两步重建方法,该方法可以在DOT中产生有用的图像估计。第一步,计算截断的摩尔-彭罗斯伪逆解,以获得可以从测量数据可靠确定的图像初步估计;随后,将该初步估计纳入惩罚最小二乘估计器的设计中,用于计算最终的图像估计。通过使用体模数据,证明所提出的方法比传统重建方法产生的图像更准确。该方法还使用包括10例良性和10例恶性病例的临床数据进行了评估。结果表明,使用所提出的方法可以提高重建高对比度恶性病变的能力。