Local Gauss Multiplicative Components (LG-MC) Method for MR Image Segmentation

Jie Cheng, Haiqing Yin, Lingling Jiang, Junyu Zheng, S. Wei
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Abstract

In magnetic resonance (MR) images quantitative analysis, there are often considerable difficulties due to factors such as intensity inhomogeneities and low contrast. Based on these problems, this paper proposes a model that can simultaneously perform bias field estimation and image segmentation. Our idea is to make use of the property that observed image can be decomposed into multiplicative components. First, the bias field representation is given by a series of smooth basic functions, the required true image is represented as the function of observed image and bias field. Then, the segmentation model of Gaussian probability distribution with different means and variances is constructed by local information. Different from the existing distribution model, our model is constructed based on the local information of the true image, therefore the influence of above mentioned factors is better avoided. A series of image segmentation experiments demonstrate the superiority and effectiveness of our model.
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局部高斯乘分量法在MR图像分割中的应用
在磁共振(MR)图像定量分析中,由于强度不均匀和低对比度等因素,往往存在相当大的困难。针对这些问题,本文提出了一种能同时进行偏场估计和图像分割的模型。我们的想法是利用观察到的图像可以被分解成乘法分量的特性。首先,用一系列光滑基本函数给出偏置场的表示,将所需的真像表示为观测图像与偏置场的函数。然后,利用局部信息构造具有不同均值和方差的高斯概率分布分割模型;与现有的分布模型不同,我们的模型是基于真实图像的局部信息构建的,因此可以更好地避免上述因素的影响。一系列的图像分割实验证明了该模型的优越性和有效性。
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