The Monte Carlo Algorithm for Image Segmentation Based on the MRF Model

Xiaoying Wei, Yanhua Cao, Xiaozhong Yang
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引用次数: 1

Abstract

Image segmentation is a key technique in the image processing and a classic problem. A Monte Carlo segmentation algorithm based on the Markov Random Field (MRF) image model is proposed to randomly initialize the model parameters, so as to avoid the over-dependence of the algorithm on the initial value and overcome the shortcomings of the local optimal solution of the existing iterative algorithm. Firstly, the MRF model can make full use of the neighborhood relationship of pixel space to obtain the data field information of the image. Then according to the Bayesian theory, the prior knowledge of images is transformed into the prior distribution model. Finally, the Monte Carlo segmentation algorithm is used to iterate until the maximum posterior probability is reached, thus, the distribution of image labels is obtained, that is, the process of image segmentation is completed. The segmentation experiment shows that the Monte Carlo algorithm can overcome the shortcoming of the traditional iterative algorithm, which is trapped in the local optimal, and can segment the image in a more complete and detailed way, effectively realize the accuracy of segmentation, and improve the speed of image segmentation.
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基于MRF模型的蒙特卡罗图像分割算法
图像分割是图像处理中的一项关键技术,也是一个经典问题。提出了一种基于马尔可夫随机场(Markov Random Field, MRF)图像模型的蒙特卡罗分割算法,对模型参数进行随机初始化,避免了算法对初始值的过度依赖,克服了现有迭代算法局部最优解的缺点。首先,MRF模型可以充分利用像素空间的邻域关系获取图像的数据场信息;然后根据贝叶斯理论,将图像的先验知识转化为先验分布模型。最后,使用蒙特卡罗分割算法进行迭代,直到达到最大后验概率,从而得到图像标签的分布,即完成图像分割过程。分割实验表明,蒙特卡罗算法克服了传统迭代算法陷入局部最优的缺点,能够将图像分割得更完整、更细致,有效地实现了分割的准确性,提高了图像分割的速度。
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