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Texture smoothing is a fundamental tool in various applications.In this work, a new image tex-ture smoothing method is proposed by defining a novel objective function, which is optimized by L0-norm minimization and a modified relative total variation measure.In addition, the gradient con-straint is adopted in objective function to eliminate the staircase effect, which can preserve the struc-ture edges of small gradients.The experimental results show that compared with the state-of-the-art methods, especially the L0 gradient minimization method and the relative total variation method, the proposed method achieves better results in image texture smoothing and significant structure preser-ving.