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Super-Resolution Image Reconstruction with Adaptive Regularization Parameter

机译:自适应正则化参数的超分辨率图像重建

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摘要

The super-resolution reconstruction can be regarded as a typical ill-posed inverse problem. Regularization method is the most important method used to solve this kind of problem. How to determine the regularization parameter is the most critical and most difficult problem in the regularization algorithm. We propose a method for adaptive determination of the regularization parameters for super-resolution Image reconstruction. The proposal relies on the structure tensor. Besides using traditional mathematical methods of ill-posed inverse problems, this method pays more attention to the image structural characteristics of smooth, angular, edge and others. We determine regularization parameter adaptively that the parameter values is small at the edge and texture and other non-smooth regions, especially angular, and in the smooth, uniform blocks, the pixels corresponding to the parameter value is large. We contrast the proposed method to the classical methods such as Tikhonov regularization, GCV, L-curve. Experimental results are provided to illustrate the effectiveness which makes regular of the role of the reconstructed image intensity changes in the degree of local smooth adaptive to change, help to protect the image detail, while smooth regions to better noise suppression.
机译:超分辨率重建可视为典型的不适定反问题。正则化方法是用于解决此类问题的最重要方法。如何确定正则化参数是正则化算法中最关键,最困难的问题。我们提出了一种自适应确定超分辨率图像重建的正则化参数的方法。该建议依赖于结构张量。除了使用不适定逆问题的传统数学方法外,该方法还更加关注平滑,有角,边缘等图像的结构特征。我们自适应地确定正则化参数,以使参数值在边缘和纹理以及其他非光滑区域(尤其是角度)较小,并且在平滑均匀的块中,与参数值相对应的像素较大。我们将提出的方法与经典方法(如Tikhonov正则化,GCV,L曲线)进行对比。提供的实验结果说明了这种有效性,它使重建的图像强度变化规律的作用在局部平滑度上适应变化,有助于保护图像细节,同时对平滑区域进行更好的噪声抑制。

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