光学 精密工程, 2015, 23 (7): 2086, 网络出版: 2015-09-08
应用半二次罚函数的图像盲去模糊
Image blind deblurring with half-quadratic penalty method
图像处理 半二次罚函数 盲去模糊 迭代算法 模糊核函数(点扩散函数) image processing half-quadratic penalty blind deblurring iteration method Point Spread Function(PSF)
摘要
由于现有的模糊图像盲恢复算法计算复杂度高,计算量大,本文提出了一种基于半二次罚函数的图像盲去模糊算法,并进行了实验验证.应用图像噪声的多阶偏导数的高斯分布特性和图像梯度值服从hyper-Laplacian分布特性建立方程,使用高效交替迭代的算法对方程求解.由于迭代过程中采用快速傅里叶变换一次求解,故大大降低了运算时间,同时获得了很好的恢复效果,为实现实时视频图像去模糊奠定了基础.对一个百万像素级的图像进行了去模糊实验,结果显示,本文算法比当前流行的算法有更快的计算速度和更好的鲁棒性,计算时间缩短了60% .提出的算法为视频图像的实时盲恢复提供了新的工具.
Abstract
As existing image blind deblurring algorithms have larger and more complex computing,this paper proposes a new image blind deblurring algorithm based on half-quadratic penalty method,and verifies the feasibility of the algorithm by experiments.It formulates the optimization function by using the higher-order partial derivatives of image noise and the hyper-Laplacian priors of image gradients,then uses an efficient optimization scheme that alternates between PSF and latent image estimation to solve the proposed formula.As the fast Fourier transform has been used in iterative processing,the computing time is reduced greatly,and the restoration effects are improved.An debluring experimental is performed on an image with pixel levels of 1×106 and the results demonstrate that the proposed method is more robust and more computationally efficiency than that of current blind deblurring algorithm and its computing time has been reduced by about 60%.The algorithm provides a new way for blind deblurring of video images in real time.
廖永忠, 蔡自兴, 何湘华. 应用半二次罚函数的图像盲去模糊[J]. 光学 精密工程, 2015, 23(7): 2086. LIAO Yong-zhong, CAI Zi-xing, HE Xiang-hua. Image blind deblurring with half-quadratic penalty method[J]. Optics and Precision Engineering, 2015, 23(7): 2086.