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In this paper, we address the problem of concealing high-frequencies errors at the lower decomposition levels in JPEG2000, by proposing a new approach based on the theory of projections onto convex sets. The error effects are masked by iteratively applying two important procedures: low-pass (LP) filtering in the spatial domain and restoration of the uncorrupted wavelet coefficients in the transform domain. It has been observed that a uniform LP filtering brought to some undesired side-effects that negatively compensated the advantages. This problem has been overcome by applying an adaptive solution exploiting an edge map to choose the optimal filter mask dimension. Simulation results demonstrated the efficiency of the proposed approach.