利用三重马尔可夫随机场在不同模糊条件下进行贝叶斯图像分割

IF 2 2区 数学 Q1 MATHEMATICS, APPLIED
Sonia Ouali, Jean-Baptiste Courbot, Romain Pierron, Olivier Haeberlé
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引用次数: 0

摘要

在本文中,我们将自己置于贝叶斯框架的背景下,对存在不同模糊度的图像进行分割。所提出的方法基于三重马尔可夫随机场(TMRF)。该方法在分割过程中考虑了图像的特殊性,如噪声、模糊和纹理。我们提出了一种无监督的 TMRF 方法,该方法可联合处理分割问题和深度估计问题,以处理荧光显微镜图像。除了使用 Metropolis-Hasting 算法和随机参数估计 (SPE) 算法估计深度图外,我们还使用 SPE 算法估计模型参数。我们在模拟图像上将我们的 TMRF 方法与其他 MRF 模型进行了比较,并在真实荧光显微镜图像上将其与最新的无监督方法进行了比较。我们的方法改进了结果,尤其是在模糊度很重要的情况下。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bayesian image segmentation under varying blur with triplet Markov random field
In this paper, we place ourselves in the context of the Bayesian framework for image segmentation in the presence of varying blur. The proposed approach is based on Triplet Markov Random Fields (TMRF). This method takes into account, during segmentation, peculiarities of an image such as noise, blur, and texture. We present an unsupervised TMRF method, which jointly deals with the problem of segmentation, and that of depth estimation in order to process fluorescence microscopy images. In addition to the estimation of the depth maps using the Metropolis-Hasting and the Stochastic Parameter Estimation (SPE) algorithms, we also estimate the model parameters using the SPE algorithm. We compare our TMRF method to other MRF models on simulated images, and to an unsupervised method from the state of art on real fluorescence microscopy images. Our method offers improved results, especially when blur is important.
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来源期刊
Inverse Problems
Inverse Problems 数学-物理:数学物理
CiteScore
4.40
自引率
14.30%
发文量
115
审稿时长
2.3 months
期刊介绍: An interdisciplinary journal combining mathematical and experimental papers on inverse problems with theoretical, numerical and practical approaches to their solution. As well as applied mathematicians, physical scientists and engineers, the readership includes those working in geophysics, radar, optics, biology, acoustics, communication theory, signal processing and imaging, among others. The emphasis is on publishing original contributions to methods of solving mathematical, physical and applied problems. To be publishable in this journal, papers must meet the highest standards of scientific quality, contain significant and original new science and should present substantial advancement in the field. Due to the broad scope of the journal, we require that authors provide sufficient introductory material to appeal to the wide readership and that articles which are not explicitly applied include a discussion of possible applications.
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