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基于梯度投影的图像盲复原算法

赵振磊1, 耿则勋1, 王 兰1,2, 王 丹3(1.信息工程大学测绘学院, 郑州 450052;2.69027部队,乌鲁木齐 830042;3.75719部队, 武汉 430074)

摘 要
为了利用多帧退化图像信息快速恢复出高质量的图像,提出了一种新的递归梯度投影多帧图像盲复原算法。该算法充分利用多帧图像的先验信息,首先给出一种能够有效抑制噪声放大的新的代价函数,然后通过梯度投影算法对新的代价函数进行最小化以推导出迭代公式,最后通过频率域多次递归迭代运算对退化图像进行复原。模拟实验结果证明该算法运算快速,对于不同高斯噪声级别和不同PSF衰退的图像,均能够清晰地恢复出图像细节特征、同时也能够准确地恢复出衰退PSF。
关键词
Image Blind Restoration Method Based on Projection Gradient Algorithm

ZHAO Zhenlei1, GENG Zexun1, WANG Lan1,2, WANG Dan3(1.Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052;2.Troops 69027, Urumqi 830042;3.Troops 75719, Wuhan 430074)

Abstract
In order to restore high quality image rapidly by using multiframe degraded images, a novel recursive projection gradient algorithm for blind restoration of multi-frame images is presented. We take full advantage of priori information of multiframe images. Firstly, we present a new cost function which can efficiently control noise magnification, then minimizes the noise by projection gradient algorithm and calculate iteration formula. Finally we use multiple recursion iterations to reconstruct image in the frequency domain. Results of experiments demonstrate that this method works efficiently. For images of different noise grades and PSF types, it can clearly restore detail features of image and exactly restore degraded PSF at the same time.
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