中文摘要：

针对大气湍流退化图像复原问题，提出了一种基于各向异性和非线性规整化的总变分盲复原新算法，该算法主要结合图像和湍流点扩展函数的一些性质采用基于各向异性的空间自适应规整化处理，建立了具有非线性和空间各向异性的规整化函数，使其在恢复目标图像和估计点扩展函数时能自适应地进行梯度平滑。最后，通过交替最小化方案来极小化代价函数和通过定点迭代策略将非线性方程进行线性化处理，快速地估计点扩展函数和恢复图像。在微机上对数字模拟和实际退化图像进行了一系列恢复实验，验证了算法的有效性和稳健性。

英文摘要：

A blind restoration algorithm of total variation based on anisotropic and nonlinear regularizations is proposed for restoring turbulence- degraded images, in which the anisotropic and adaptive regularizations are adopted according to the properties of turbulence Point Spread Functions（PSFs） and image. The nonlinear and spatial anisotropic regularization functions are suggested to smooth adaptively the gradients in the process of estimating the PSF and recovering the object image. Finally, the cost functions are minimized by alternate minimization scheme, and the nonlinear equations are lineared by fixed-point iteration scheme, then the PSFs can be estimated and the images can be recovered quickly. The robustness and effectiveness of the proposed algorithm are tested by a series of restoration experiments to recover the digital simulation and real turbulence-degraded images.