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石雪, 王玉. 结合加权混合模型和马尔可夫随机场的光学遥感影像分割[J]. 计算机辅助设计与图形学学报, 2023, 35(7): 1097-1108. DOI: 10.3724/SP.J.1089.2023.19564
引用本文: 石雪, 王玉. 结合加权混合模型和马尔可夫随机场的光学遥感影像分割[J]. 计算机辅助设计与图形学学报, 2023, 35(7): 1097-1108. DOI: 10.3724/SP.J.1089.2023.19564
Shi Xue, Wang Yu. Combining Weighted Mixture Model and Markov Random Field for Optical Remote Sensing Image Segmentation[J]. Journal of Computer-Aided Design & Computer Graphics, 2023, 35(7): 1097-1108. DOI: 10.3724/SP.J.1089.2023.19564
Citation: Shi Xue, Wang Yu. Combining Weighted Mixture Model and Markov Random Field for Optical Remote Sensing Image Segmentation[J]. Journal of Computer-Aided Design & Computer Graphics, 2023, 35(7): 1097-1108. DOI: 10.3724/SP.J.1089.2023.19564

结合加权混合模型和马尔可夫随机场的光学遥感影像分割

Combining Weighted Mixture Model and Markov Random Field for Optical Remote Sensing Image Segmentation

  • 摘要: 针对遥感影像分割中存在的统计建模不准确,以及分割精度和效率低的问题,提出一种结合加权混合模型和马尔可夫随机场的光学遥感影像分割算法.考虑到遥感影像内像素强度统计分布具有复杂的特性,以多个高斯分布加权作为模型组份,采用加权高斯混合模型构建影像统计模型,克服传统高斯混合模型以单一高斯分布作为模型组份而导致建模不准确的问题;然后利用类属先验概率构建平滑因子,在马尔可夫随机场中将其引入吉布斯分布以建模组份权重的概率分布,该分布结构简单、易于实现;最后采用最大条件期望方法求解最优模型参数,而组份权重分布的结构有利于推导出其解析式,降低算法的计算量.选取Cartosat和Worldview影像进行分割实验,与模糊C均值、高斯混合模型和学生t混合模型分割算法进行对比.结果表明,所提算法可更加准确地建模遥感影像非对称和重尾等复杂统计分布,平均总分割精度分别高于对比算法16.44%,16.00%和16.17%.

     

    Abstract: Aiming at the problems of inaccurately building the statistic model and low accuracy and efficiency in remote sensing image segmentation, a remote sensing image segmentation algorithm combining weighted Gaussian mixture model and Markov random field is proposed in this paper. Firstly, considering the complicated distributions of spectral intensities in remote sensing image, the weighted Gaussian distributions is used as the component of mixture model, and weighted Gaussian mixture model is used to build the statistical model of image for overcoming the inaccurate modeling of traditional mixture model using a single probability distribution as its component. Secondly, the prior of component weight is built with the attribute probability of neighborhood pixels by Gibbs distribution. Its structure is simple and easy to implement. Finally, model parameters can be estimated by expectation maximization method. The structure of component weight distribution is conducive to derive its closed-form and reduce the amount of calculation. Cartosat and Worldview images are selected for experiments, and compared with the segmentation algorithms based on fuzzy C-means, Gaussian mixture model and student's-t mixture model. The results show that the proposed algorithm can more accurately model the complex distribution of remote sensing images, and the average segmentation accuracy is 16.44%, 16.00% and 16.17% higher than the comparison algorithm, respectively.

     

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