An Adaptive Strategy for the Restoration of Textured Images Using Fractional Order Regularization

Total variation regularization has good performance in noise removal and edgepreservation but lacks in texture restoration. Here we present a texture-preservingstrategy to restore images contaminated by blur and noise. According to a texturedetection strategy, we apply spatially adaptive fractional order diffusion. A fastalgorithm based on the half-quadratic technique is used to minimize the resultingobjective function. Numerical results show the effectiveness of our strategy.