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Bayesian Paradigms in Image Processing

机译:图像处理中的贝叶斯范式

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摘要

A large number of image and spatial information processing problems involves the estimation of the intrinsic image information from observed images, for instance, image restoration, image registration, image partition, depth estimation, shape reconstruction and motion estimation. These are inverse problems and generally ill-posed. Such estimation problems can be readily formulated by Bayesian models which infer the desired image information from the measured data. Bayesian paradigms have played a very important role in spatial data analysis for over three decades and have found many successful applications. In this paper, we discuss several aspects of Bayesian paradigms: uncertainty present in the observed image, prior distribution modeling, Bayesian-based estimation techniques in image processing, particularly, the maximum a posteriori estimator and the Kalman filtering theory, robustness, and Markov random fields and applications.
机译:大量的图像和空间信息处理问题涉及从观察到的图像估计固有图像信息,例如,图像恢复,图像配准,图像分割,深度估计,形状重构和运动估计。这些是相反的问题,通常情况不佳。这样的估计问题可以通过贝叶斯模型很容易地提出,贝叶斯模型可以从测量数据中推断出所需的图像信息。贝叶斯范式在空间数据分析中已经扮演了非常重要的角色,这已经超过了三十年,并且已经发现了许多成功的应用。在本文中,我们讨论了贝叶斯范式的几个方面:观测图像中存在的不确定性,先验分布建模,图像处理中基于贝叶斯的估计技术,特别是最大后验估计器和卡尔曼滤波理论,鲁棒性和马尔可夫随机领域和应用。

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