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An augmented Lagrangian approach to general dictionary learning for image denoising

机译:增强拉格朗日方法进行通用字典学习的图像去噪

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This paper presents an augmented Lagrangian (AL) based method for designing of overcomplete dictionaries for sparse representation with general l_q-data fidelity term (q ≤ 2). In the proposed method, the dictionary is updated via a simple gradient descent method after each inner minimization step of the AL scheme. Besides, a modified Iterated Shrinkage/Thresholding Algorithm is employed to accelerate the sparse coding stage of the algorithm. We reveal that the dictionary update strategy of the proposed method is different from most of existing methods because the learned dictionaries become more and more complex regularly. An advantage of the iterated refinement methodology is that it makes the method less dependent on the initial dictionary. Experimental results on real image for Gaussian noise removal (q = 2) and impulse noise removal (q = 1) consistently demonstrate that the proposed approach can efficiently remove the noise while maintaining high image quality.
机译:本文提出了一种基于增强拉格朗日(AL)的方法,该方法用于设计具有通用l_q-数据保真度项(q≤2)的稀疏表示的超完备词典。在提出的方法中,在AL方案的每个内部最小化步骤之后,通过简单的梯度下降方法更新字典。此外,采用改进的迭代收缩/阈值算法来加快算法的稀疏编码阶段。我们发现,提出的方法的字典更新策略与大多数现有方法不同,这是因为所学的字典有规律地变得越来越复杂。迭代优化方法的一个优点是,它使该方法对初始字典的依赖性降低。高斯噪声去除(q = 2)和脉冲噪声去除(q = 1)的真实图像实验结果一致表明,该方法可以有效去除噪声,同时保持较高的图像质量。

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