The regularization method has recently been an efficient approach to make the process of image denoising well-posed

while preserving image textures and details become more intractable.This paper focused on directional texture preserving image denoising problem gives a directional texture preserving total variation regularization based model.Furthermore

we analyze and demonstrate some equivalent properties of the directional total variation

and give the majorization minimization algorithm based on iteratively constructing surrogate functionals and B-spline difference filters.Numerical experiments show that the new method can achieve better result in removing the noise

restraining staircase effect and preserving directional texture.