To avoid the staircase artifacts, an adaptive image denoising model is proposed by the weighted combination of Tikhonov\nregularization and total variation regularization. In our model, Tikhonov regularization and total variation regularization can be\nadaptively selected based on the gradient information of the image. When the pixels belong to the smooth regions, Tikhonov\nregularization is adopted, which can eliminate the staircase artifacts. When the pixels locate at the edges, total variation\nregularization is selected, which can preserve the edges. We employ the split Bregman method to solve our model. Experimental\nresults demonstrate that our model can obtain better performance than those of other models.
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