Image Segmentation Based on Finite IBL Mixture Model with a Dirichlet Compound Multinomial Prior

Z. Guo, Wentao Fan
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Abstract

In this paper, we propose a novel image segmentation approach based on finite inverted Beta-Liouville (IBL) mixture model with a Dirichlet Compound Multinomial prior. The merits of this work can be summarized as follows: 1) Our image segmentation approach is based on a finite mixture model in which each mixture component can be responsible for interpreting a particular segment within a given image; 2) We adopt IBL distribution as the basic distribution in our mixture model, which has demonstrated better modeling capabilities than Gaussian distribution for non-Gaussian data in recent research works; 3) The contextual mixing proportions (i.e., the probabilities of class labels) of our model are assumed to have a Dirichlet Compound Multinomial prior, which makes our model more robust against noise; 4) We develop a variational Bayes (VB) method that can effectively learn model parameters in closed form. The performance of the proposed image segmentation approach is compared with other related segmentation approaches to demonstrate its advantages.
基于Dirichlet复合多项式先验有限IBL混合模型的图像分割
本文提出了一种基于Dirichlet复合多项式先验的有限倒Beta-Liouville (IBL)混合模型的图像分割方法。这项工作的优点可以总结如下:1)我们的图像分割方法是基于有限混合模型,其中每个混合组件可以负责解释给定图像中的特定部分;2)我们采用IBL分布作为混合模型的基本分布,在最近的研究工作中,IBL分布对非高斯数据的建模能力优于高斯分布;3)假设我们模型的上下文混合比例(即类标签的概率)具有Dirichlet复合多项式先验,这使得我们的模型对噪声更具鲁棒性;4)开发了一种变分贝叶斯(VB)方法,可以有效地学习封闭形式的模型参数。将所提出的图像分割方法的性能与其他相关分割方法进行了比较,以证明其优点。
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