Learning Moore-Penrose based residuals for robust non-blind image deconvolution López Tapia, Santiago Mateos Delgado, Javier Molina Soriano, Rafael Katsaggelos, Aggelos K. Robust non-blind image deconvolution Deep learning Convolutional neural network Analytical methods Moore-Penrose inverse This work was supported by grants P20_00286 and B-TIC-324-UGR20 funded by Consejería de Universidad, Investigación e Innovación ( Junta de Andalucía ) and by “ ERDF A way of making Europe”. Funding for open access charge: Universidad de Granada / CBUA. This paper proposes a deep learning-based method for image restoration given an inaccurate knowledge of the degradation. We first show how the impulse response of a Wiener filter can approximate the Moore-Penrose pseudo-inverse of the blur convolution operator. The deconvolution problem is then cast as the learning of a residual in the null space of the blur kernel, which, when added to the Wiener restoration, will satisfy the image formation model. This approach is expected to make the network capable of dealing with different blurs since only residuals associated with the Wiener filter have to be learned. Artifacts caused by inaccuracies in the blur estimation and other image formation model inconsistencies are removed by a Dynamic Filter Network. The extensive experiments carried out on several synthetic and real image datasets assert the proposed method's performance and robustness and demonstrate the advantage of the proposed method over existing ones. 2023-10-10T12:08:08Z 2023-10-10T12:08:08Z 2023-10 journal article S. López-Tapia, J. Mateos, R. Molina et al. Learning Moore-Penrose based residuals for robust non-blind image deconvolution. Digital Signal Processing 142 (2023) 104193. [https://doi.org/10.1016/j.dsp.2023.104193] https://hdl.handle.net/10481/84933 10.1016/j.dsp.2023.104193 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier