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Unsupervised segmentation of Markov random field modeled textured images using selectionist relaxation

机译:使用选择主义松弛的Markov随机场建模纹理图像的无监督分割

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Among the existing texture segmentation methods, those relying on Markov random fields have retained substantial interest and have proved to be very efficient in supervised mode. The use of Markov random fields in unsupervised mode is, however, hampered by the parameter estimation problem. The recent solutions proposed to overcome this difficulty rely on assumptions about the shapes of the textured regions or about the number of textures in the input image that may not be satisfied in practice. In this paper, an evolutionary approach, selectionist relaxation, is proposed as a solution to the problem of segmenting Markov random field modeled textures in unsupervised mode. In selectionist relaxation, the computation is distributed among a population of units that iteratively evolves according to simple and local evolutionary rules. A unit is an association between a label and a texture parameter vector. The units whose likelihood is high are allowed to spread over the image and to replace the units that receive lower support from the data. Consequently, some labels are growing while others are eliminated. Starting with an initial random population, this evolutionary process eventually results in a stable labelization of the image, which is taken as the segmentation. In this work, the generalized Ising model is used to represent textured data. Because of the awkward nature of the partition function in this model, a high-temperature approximation is introduced to allow the evaluation of unit likelihoods. Experimental results on images containing various synthetic and natural textures are reported.
机译:在现有的纹理分割方法中,那些依赖于马尔可夫随机场的方法引起了人们的极大兴趣,并且在监督模式下被证明是非常有效的。然而,参数估计问题阻碍了在无监督模式下使用马尔可夫随机场。为克服该困难而提出的最新解决方案依赖于对纹理区域的形状或输入图像中的纹理数量的假设,而这些假设在实践中可能无法满足。在本文中,提出了一种进化方法,即选择主义松弛,以解决在无监督模式下分割马尔可夫随机场建模纹理的问题。在选择主义放松中,计算分布在根据简单和局部进化规则迭代进化的单位群体中。单位是标签和纹理参数矢量之间的关联。可能性高的单元可以散布在图像上,并替换从数据中获得较低支持的单元。因此,一些标签在增长,而其他标签则被淘汰。从初始的随机种群开始,这种进化过程最终导致图像的稳定标记,这被视为分割。在这项工作中,广义的Ising模型用于表示纹理化数据。由于该模型中分配函数的尴尬性质,因此引入了高温近似值以允许评估单位似然性。报告了包含各种合成和天然纹理的图像的实验结果。

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