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Regularization of Diffusion Tensor Maps Using a Non-Gaussian Markov Random Field Approach

机译:使用非高斯马尔可夫随机场方法对扩散张量图进行正则化

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摘要

In this paper we propose a novel non-Gaussian MRF for reg-ularization of tensor fields for fiber tract enhancement. Two entities are considered in the model, namely, the linear component of the tensor, i.e., how much line-like the tensor is, and the angle of the eigenvector associated to the largest eigenvalue. A novel, to the best of the author's knowledge, angular density function has been proposed. Closed form expressions of the posterior densities are obtained. Some experiments are also presented for which color-coded images are visually meaningful. Finally, a quantitative measure of regularization is also calculated to validate the achieved results based on an averaged measure of entropy.
机译:在本文中,我们提出了一种新颖的非高斯MRF,用于张量场的规则化以增强纤维束。在模型中考虑了两个实体,即张量的线性分量,即张量具有多少线状,以及与最大特征值关联的特征向量的角度。据作者所知,已经提出了一种新颖的角密度函数。获得后密度的封闭形式表达。还提供了一些实验,对于这些实验,颜色编码的图像在视觉上是有意义的。最后,还基于平均熵的度量来计算正则化的量化度量,以验证所获得的结果。

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