约束最小二乘滤波实现散焦模糊图像复原

Restoration of Defocus Blur Image by Constrained Least Squares Filter

为了解决散焦不准确导致图像中存在不同程度的散焦模糊,引入散焦模糊图像退化模型和散焦点扩展函数,分析了维纳滤波、逆滤波、约束最小二乘滤波的复原方法,通过模拟实验对比三种滤波的复原效果,观察不同散焦半径参数对复原效果的影响,结果发现:在有噪声的情况下,约束最小二乘滤波复原效果优于逆滤波和维纳滤波,从主观视觉和客观PSNR值来看,当估计的散焦半径接近原始散焦半径时,复原图像效果最佳.

In order to solve the problem of defocus blur in different degrees caused by inaccurate defocus in images,the defocus blur degraded image model and the defocus point spread function were introduced,the restoration methods of wiener filter,inverse filter and constrained least squares filter are analyzed.Through simulated experiments,the restoration effects of three filters were compared,the influence of parameters of different defocus radius on the restoration effect was observed.The results show that,in the case of noise,the restoration effect of constrained least squares filter is better than that of inverse filter and wiener filter,from the subjective visual and objective PSNR values,when the estimated defocus radius is close to the original defocus radius,the restoration image is the best.