Steering kernel regression is an adaptive and effective image restoration algorithm

which has been widely used for image denoising

enlargement and deblurring.However this model is based on the Gaussian kernel function

which often blurs the image edges

especially micro-edges in its restoration.A new anisotropic image restoration model based on robust statistics is proposed

which improved the Steering kernel regression model.The new method is to incorporate anisotropic distance and introduce robust estimation kernel function instead of Gaussian function.Extensive experiment results demonstrate that the new method can yield superior performance to that of the steering kernel regression

especially in preserving the details of the image edges.