一种基于倒频谱鉴别模糊参数的图像复原算法

An Algorithm of Image Restoration Based on Blur Parameter Identification with Cepstrum

当前运动模糊图像的复原主要依赖于模糊参数的准确鉴别和高质量的复原算法。为了更加准确地鉴别出运动模糊图像的模糊参数,提出了一种基于倒频谱鉴别模糊参数的方法;通过对模糊图像倒频谱实施直方图均衡化和阈值分割提取模糊信息,然后进行Radon变换来确定模糊方向;通过对倒频谱进行数学形态学滤波来提取模糊尺度。针对运动模糊图像的复原,提出了基于偏微分方程的全变分复原算法,通过选择不同的λ值来获得最佳复原效果。通过对多幅仿真模糊图像和真实模糊图像实施的模糊参数鉴别和复原实验,证实了模糊参数鉴别的准确性和可靠性以及全变分复原算法的优异性尤其是抗噪性。

At present,the restoration of motion-blurred image mainly depends on accurate identification of blur parameters and good restoration algorithms.In order to identify the blur parameters accurately,an identification method based on cepstrum domain was presented.Histogram equalization and threshold segmentation were employed for the cepstrum to extract the blur information.Then,Radon transformation of the cepstrum was used to identify the blur direction,and mathematical morphology filtering was employed to extract the blur scale.An algorithm of total variation model based on PDE was proposed to restore the motion-blurred image by choosing different λ values to acquire the best restoration effect.Experimental results using artificially blurred images and real images show that the proposed methods are accurate and robust.