@inproceedings{576171f27d864e1e9faa6409dba50e95,
title = "AN INTERPRETATION OF REGULARIZATION BY DENOISING AND ITS APPLICATION WITH THE BACK-PROJECTED FIDELITY TERM",
abstract = "The vast majority of image recovery tasks are ill-posed problems. As such, methods that are based on optimization use cost functions that consist of both fidelity and prior (regularization) terms. A recent line of works imposes the prior by the Regularization by Denoising (RED) approach, which exploits the good performance of existing image denoising engines. Yet, the relation of RED to explicit prior terms is still not well understood, as previous work requires too strong assumptions on the denoisers. In this paper, we make two contributions. First, we show that the RED gradient can be seen as a (sub)gradient of a prior function—but taken at a denoised version of the point. As RED is typically applied with a relatively small noise level, this interpretation indicates a similarity between RED and traditional gradients. This leads to our second contribution: We propose to combine RED with the Back-Projection (BP) fidelity term rather than the common Least Squares (LS) term that is used in previous works. We show that the advantages of BP over LS for image deblurring and super-resolution, which have been demonstrated for traditional gradients, carry on to the RED approach.",
keywords = "Back-Projection, Image deblurring, Inverse problems, Regularization by Denoising, Super-resolution",
author = "Einav Yogev-Ofer and Tom Tirer and Raja Giryes",
note = "Publisher Copyright: {\textcopyright} 2021 IEEE; 28th IEEE International Conference on Image Processing, ICIP 2021 ; Conference date: 19-09-2021 Through 22-09-2021",
year = "2021",
doi = "10.1109/ICIP42928.2021.9506499",
language = "الإنجليزيّة",
series = "Proceedings - International Conference on Image Processing, ICIP",
publisher = "IEEE Computer Society",
pages = "1649--1653",
booktitle = "2021 IEEE International Conference on Image Processing, ICIP 2021 - Proceedings",
address = "الولايات المتّحدة",
}