Denoising by hard-thresholding in 3D transform domain with block-matching

  • Overcompleteness due to overlapping. After processing all $Z_{x_{R}\in X}$, the produced local block-estimates MATH, $\forall x_{R}\in X$ form, in general, an overcomplete representation of the estimated image due to an overlap between them.


  • Final estimate. The estimate of the true image is computed as a weighted average of the overlapping local block-estimates
    MATH where $\chi _{x_{m}}:X$ MATH is the characteristic function of the square support of a block located at $x_{m}\in X$.