【摘要】 从模糊且含有噪声的图像中重建清晰图像是一个典型的病态问题,当模糊核是未知的时候需要同时重构模糊核和图像,这样的盲去噪去模糊问题受到学术界的广泛关注.利用变分方法,我们对遥感图像盲去噪去模糊问题建立了偏微分方程组模型,然后结合交替方向法和差分方法构造了全离散数值格式,用于求解未知核函数和清晰图像.通过数值实验分析了参数的选择对图像处理效果的影响,并确定了合理的参数.最后针对若干遥感图像进行了数值实验,实验结果表明了模型的有效性.更多还原

【Abstract】 Reconstructing clear images from blurred and noisy ones is a typical ill-posed problem.When the blurring kernel is unknown,reconstructing both the blurring kernel and the image is required.Such blind denoising and deblurring problems have attracted widespread attention in academia.Using variational methods,we established a partial differential equation model for the blind denoising and deblurring problem of remote sensing images.Then,combining alternating direction method and finite difference method,we constructed a fully discrete numerical format for solving unknown kernel functions and clear images.Numerical experiments were conducted to analyze the effect of parameters on image processing performance and to determine reasonable parameters.Finally,numerical experiments were conducted on several remote sensing images,and the results demonstrated the effectiveness of the model.更多还原