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A time-domain wavelet-based approach for fluorescence diffuse optical tomography.

机译:一种基于时域小波的荧光漫射层析成像方法。

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PURPOSE: In the context of fluorescence diffuse optical tomography, determining the optimal way to exploit the time-resolved information has been receiving much attention and different features of the time-resolved signals have been introduced. In this article, the authors revisit and generalize the notion of feature, considering the projection of the measurements onto some basis functions. This leads the authors to propose a novel approach based on the wavelet transform of the measurements. METHODS: A comparative study between the reconstructions obtained from the proposed wavelet-based approach and the reconstructions obtained from the reference temporal moments is provided. An inhomogeneous cubic medium is considered. Reconstructions are performed from synthetic measurements assuming Poisson noise statistics. In order to provide fairly comparable reconstructions, the reconstruction scheme is associated with a particular procedure for selecting the regularization parameter. RESULTS: In the noise-free case, the reconstruction quality is shown to be mainly driven by the number of selected features. In the presence of noise, however, the reconstruction quality depends on the type of the features. In this case, the wavelet approach is shown to outperform the moment approach. While the optimal time-resolved reconstruction quality, which is obtained considering the whole set of time samples, is recovered using only eight wavelet functions, it cannot be attained using moments. It is finally observed that the time-resolved information is of limited utility, in terms of reconstruction, when the maximum number of detected photons is lower than 10(5). CONCLUSIONS: The wavelet approach allows for better exploiting the time-resolved information, especially when the number of detected photons is low. However, when the number of detected photons decreases below a certain threshold, the time-resolved information itself is shown to be of limited utility.
机译:目的:在荧光漫射光学层析成像技术的背景下,确定利用时间分辨信息的最佳方法受到了广泛关注,并且引入了时间分辨信号的不同特征。在本文中,作者考虑了将度量值投影到某些基本函数上的方式,重新回顾并概括了特征的概念。这使作者提出了一种基于测量的小波变换的新颖方法。方法:提供了从建议的基于小波的方法获得的重建与从参考时间矩获得的重建之间的比较研究。考虑不均匀的立方介质。假定泊松噪声统计数据,则根据综合测量结果进行重建。为了提供相当可比的重建,该重建方案与用于选择正则化参数的特定过程相关联。结果:在无噪声的情况下,重建质量主要受所选特征的数量驱动。但是,在存在噪声的情况下,重建质量取决于特征的类型。在这种情况下,小波方法表现出优于矩量方法。尽管仅使用八个小波函数就可以恢复考虑到整个时间样本集而获得的最佳时间分辨重构质量,但无法使用矩来实现。最终观察到,当检测到的最大光子数低于10(5)时,就重构而言,时间分辨信息的用途有限。结论:小波方法可以更好地利用时间分辨信息,尤其是在检测到的光子数量较少时。但是,当检测到的光子数量减少到某个阈值以下时,时间分辨信息本身将显示出有限的用途。

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