Wavelet transform-based noise reduction schemes to improve the noise sensitivity of the NAS-RIF algorithm for blind image deconvolution

The nonnegativity and support constraints recursive inverse filtering (NAS-RIF) algorithm for blind image deconvolution is extremely sensitive to the presence of additive noise. We therefore propose three novel noise-reduction schemes based upon the discrete wavelet transform (DWT) denoising technique to incorporate within the NAS-RIF algorithm. Simulation studies show that such methods have the potential to increase the range of signal-to-noise ratios (SNR) over which the NAS-RIF algorithm can be applied.