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Block Coordinate Regularization by Denoising [article]

Yu Sun, Jiaming Liu, Ulugbek S. Kamilov
<span title="2019-09-19">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the state-of-the-art performance of estimators under such priors in a range of imaging tasks.  ...  In this work, we develop a new block coordinate RED algorithm that decomposes a large-scale estimation problem into a sequence of updates over a small subset of the unknown variables.  ...  Algorithm 1 Block Coordinate Regularization by Denoising (BC-RED) 1: input: initial value x 0 ∈ R n , parameter τ > 0, and step-size γ > 0. 2: for k = 1, 2, 3, . . . do 3: Choose an index i k ∈ {1, .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1905.05113v2">arXiv:1905.05113v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sw6kzzuyprc3xhebvxmkziuptu">fatcat:sw6kzzuyprc3xhebvxmkziuptu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201001013344/https://arxiv.org/pdf/1905.05113v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/25/55/2555fe66523753a1c49b54583c85dfaaa46a0c9e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1905.05113v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Collaborative filtering based on group coordinates for smoothing and directional sharpening

Lucio Azzari, Alessandro Foi
<span title="">2015</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rc5jnc4ldvhs3dswicq5wk3vsq" style="color: black;">2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</a> </i> &nbsp;
In this work, the spatial coordinates of grouped blocks are leveraged in two distinct parts of the transform-domain collaborative filtering within the BM3D algorithm.  ...  Experiments confirm the efficacy of the proposed adaptations, for denoising as well as for sharpening of noisy images.  ...  Image blocks are denoted by a capital letter and a subscript that indicates the top-left coordinate of the block; e.g., Z x is a block extracted from z at position x.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icassp.2015.7178235">doi:10.1109/icassp.2015.7178235</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icassp/AzzariF15.html">dblp:conf/icassp/AzzariF15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a3r576fz3jd4rjesgjxwl3ghla">fatcat:a3r576fz3jd4rjesgjxwl3ghla</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170921224525/http://www.cs.tut.fi/%7Efoi/papers/ICASSP2015-Azzari-GroupCoordinates.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/25/bc/25bcd5a13f67b79bdd91fc547f0bafd198bc17b8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icassp.2015.7178235"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Image restoration by sparse 3D transform-domain collaborative filtering

Kostadin Dabov, Alessandro Foi, Vladimir Katkovnik, Karen Egiazarian, Jaakko T. Astola, Karen O. Egiazarian, Edward R. Dougherty
<span title="2008-02-14">2008</span> <i title="SPIE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/n3ge7z6hafchpio7czlg3oqamm" style="color: black;">Image Processing: Algorithms and Systems VI</a> </i> &nbsp;
We propose an image restoration technique exploiting regularized inversion and the recent block-matching and 3D filtering (BM3D) denoising filter.  ...  The BM3D employs a non-local modeling of images by collecting similar image patches in 3D arrays.  ...  In this work we follow the above restoration scheme (regularized inversion followed by denoising) exploiting an extension of the block-matching and 3D filtering 10 (BM3D).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.766355">doi:10.1117/12.766355</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ipas/DabovFKE08.html">dblp:conf/ipas/DabovFKE08</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a5fujnkavbh7hhja5m6gukqqoi">fatcat:a5fujnkavbh7hhja5m6gukqqoi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20101226092703/http://www.cs.tut.fi/~foi/GCF-BM3D/SPIE08_deblurring.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/68/79/68795a8105dcd1171eb83488b22b324433fcf5e8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.766355"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Lumen Border Detection of Intravascular Ultrasound via Denoising of Directional Wavelet Representations [chapter]

Amin Katouzian, Elsa Angelini, Auranuch Lorsakul, Bernhard Sturm, Andrew F. Laine
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Brushlet denoising has previously demonstrated a great aptitude for denoising ultrasound data and removal of blood speckle.  ...  We evaluated a hard thresholding operator for Brushlet denoising, and compared segmentation results to manually traced lumen borders.  ...  We therefore applied the ICM to the IVUS original and denoised volumes in polar coordinates.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-01932-6_12">doi:10.1007/978-3-642-01932-6_12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/znjrqblf35fqdp6hmwcaougiea">fatcat:znjrqblf35fqdp6hmwcaougiea</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706014428/http://biblio.telecom-paristech.fr/cgi-bin/download.cgi?id=9520" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bb/ba/bbbaa4474f1e14a26e14d709f89f1e17f1c1ba12.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-01932-6_12"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Nonlocality-Reinforced Convolutional Neural Networks for Image Denoising

Cristovao Cruz, Alessandro Foi, Vladimir Katkovnik, Karen Egiazarian
<span title="">2018</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/msfmoh6v7bdk7lrsmtbklto74i" style="color: black;">IEEE Signal Processing Letters</a> </i> &nbsp;
It is a combination of a local multiscale denoising by a convolutional neural network (CNN) based denoiser and a nonlocal denoising based on a nonlocal filter (NLF) exploiting the mutual similarities between  ...  CNN models are leveraged with noise levels that progressively decrease at every iteration of our framework, while their output is regularized by a nonlocal prior implicit within the NLF.  ...  Each S j contains the coordinates of N 2 mutually similar blocks of size N 1 ×N 1 ; S is built in such a way that each pixel in the image is covered by at least one block.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lsp.2018.2850222">doi:10.1109/lsp.2018.2850222</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/geqoko3slvhoxj3oamsc2vz25y">fatcat:geqoko3slvhoxj3oamsc2vz25y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200826081353/https://arxiv.org/pdf/1803.02112v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bf/62/bf6292356334321be50342414ba467318064bbe7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lsp.2018.2850222"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

An efficient learned dictionary and its application to non-local denoising

Shutao Li, Leyuan Fang
<span title="">2010</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/anlh4tvwprcrtoxv5d4h6a7rye" style="color: black;">2010 IEEE International Conference on Image Processing</a> </i> &nbsp;
Besides, we propose a joint 3-D operation to exploit the correlations among the similar blocks, as the non-local denoising model assumes that there exist mutually similar blocks in nature images.  ...  This 3-D operation is achieved by a simple concatenation of the similar patches to a single vector and training the proposed dictionary on it.  ...  Find a fixed number h of blocks with the highest similarity to the i-th processed block, z i , by using a 2 -distance 1 2 2 (z , z ) || z z || , 1,..., , i j i j d j qp (3) and record the coordinates  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icip.2010.5652718">doi:10.1109/icip.2010.5652718</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icip/LiF10a.html">dblp:conf/icip/LiF10a</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pcigpkkb4bbtfh4hwbbrgt6mfe">fatcat:pcigpkkb4bbtfh4hwbbrgt6mfe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808105538/http://nlpr-web.ia.ac.cn/2010papers/kz/gh18.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2b/97/2b97252cfaa44bf93417c86212d89b31debfe507.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icip.2010.5652718"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Block-Coordinate Proximal Algorithms for Scale-Free Texture Segmentation

Barbara Pascal, Nelly Pustelnik, Patrice Abry, Jean-Christophe Pesquet
<span title="">2018</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rc5jnc4ldvhs3dswicq5wk3vsq" style="color: black;">2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</a> </i> &nbsp;
Our study shows that a key ingredient in the success of the proposed block-coordinate approaches lies in the design of the blocks of variables which are updated at each iteration.  ...  Recently, procedures integrating a scale-free (or fractal) wavelet-leader model allowed the problem to be reformulated in a convex optimization framework by including a TV penalization.  ...  The present contribution aims to explore efficient designs of block-coordinate proximal algorithms for anisotropic TV denoising of textures characterized by piecewise constant scale-free properties.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icassp.2018.8461991">doi:10.1109/icassp.2018.8461991</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icassp/PascalPAP18.html">dblp:conf/icassp/PascalPAP18</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i2fxvz65l5dhtl4dken4pmaesu">fatcat:i2fxvz65l5dhtl4dken4pmaesu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190429091552/https://hal.inria.fr/hal-01736991/file/Templv2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ac/2f/ac2fc3671e3d4e16b43f15c845096b6051a363d5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icassp.2018.8461991"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Noisy Radial-blurred Images Restoration Using the BM3D Frames

Li Chonglun, Liu Zhong, Yang Lujing
<span title="2014-12-26">2014</span> <i title="Bentham Science Publishers Ltd."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z5qwzbb46fc65nj55akgsqbyu4" style="color: black;">Open Cybernetics and Systemics Journal</a> </i> &nbsp;
In order to solve this problem, a radial blur physical model was established, in this paper rectangular block replaced sector block in rectangular coordinate image, the matching area and restoration coefficient  ...  The results show that the sector block was matching in neighbor area, the radial blur image can be effectively recovered, and the effect is obviously better than RL-NL and RL-TV methods or other restoration  ...  ACKNOWLEDGEMENTS This work was financially supported by the advance research fund of national ministries (9140A01060113JB1101).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/1874110x01408010054">doi:10.2174/1874110x01408010054</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rae67wsyw5djrkrxtlitdbrqxi">fatcat:rae67wsyw5djrkrxtlitdbrqxi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180718221226/https://benthamopen.com/contents/pdf/TOCSJ/TOCSJ-8-54.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e2/d0/e2d0e4d4f7b079a098755f8f7300712fd6784b70.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/1874110x01408010054"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Denoising of Laser Scanning Data Using Wavelet

Petr Jašek, Martin Štroner
<span title="2014-06-03">2014</span> <i title="Czech Technical University in Prague - Central Library"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s5mkm5k53rhwvpwrp66bugcdya" style="color: black;">Geoinformatics FCE CTU</a> </i> &nbsp;
The creation of the regular matrix is needed to apply image processing. This matrix then makes the range image.  ...  Regarding the terrestrial laser scanning accuracy, one of the main problems is the noise in measured distance which is necessary for the spatial coordinates´ determination.  ...  one scan in a regular angular raster.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.14311/gi.12.7">doi:10.14311/gi.12.7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hgmoxqgsure2paoof6ql2mdvk4">fatcat:hgmoxqgsure2paoof6ql2mdvk4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190428210712/https://ojs.cvut.cz/ojs/index.php/gi/article/download/gi.12.7/2381" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/49/02/4902491525167c0b9c47cb663934cc76ace858df.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.14311/gi.12.7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Image‐denoising algorithm based on improved K‐singular value decomposition and atom optimization

Rui Chen, Dong Pu, Ying Tong, Minghu Wu
<span title="2021-05-07">2021</span> <i title="Institution of Engineering and Technology (IET)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l2p2a7zjnreudkkctzwtgdzigi" style="color: black;">CAAI Transactions on Intelligence Technology</a> </i> &nbsp;
Then, non-local regularity is incorporated into the denoising model to further improve image-denoising performance.  ...  An image-denoising algorithm is proposed based on improved K-SVD and dictionary atom optimization.  ...  Then we use the block coordination minimization method to solve this subproblem, which can be divided into two steps as follows. Step 1.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1049/cit2.12044">doi:10.1049/cit2.12044</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/in4xfi6ok5gqpiedbgoa2u5zua">fatcat:in4xfi6ok5gqpiedbgoa2u5zua</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210715010548/https://ietresearch.onlinelibrary.wiley.com/doi/pdfdirect/10.1049/cit2.12044" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/55/2e/552e162a6e312066108bf4ae7e9a06420897f070.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1049/cit2.12044"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Denoising images corrupted by impulsive noise using projections onto the epigraph set of the total variation function (PES-TV)

Mohammad Tofighi, Kivanc Kose, A. Enis Cetin
<span title="2015-10-30">2015</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nohybzclzngzfnzci4asq3kc2e" style="color: black;">Signal, Image and Video Processing</a> </i> &nbsp;
In this article, a novel algorithm for denoising images corrupted by impulsive noise is presented.  ...  In this step, the image is first divided into blocks and those with similar content are jointly denoised using a 3D Wiener filter.  ...  Blocks satisfying condition of the set G SB R are grouped together to construct 3D arrays of similar blocks, as follows: G SB R = {c ∈ w : d(B R , B C ) ≤ τ th } (10) where c represents the coordinate  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11760-015-0827-8">doi:10.1007/s11760-015-0827-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x3wclkpvtzgdjinfoyva3aloby">fatcat:x3wclkpvtzgdjinfoyva3aloby</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170811072652/http://yoksis.bilkent.edu.tr/pdf/files/11718.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/68/db68d0a1a9dc6e7847460cd7fe337ee010e51bcf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11760-015-0827-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images

Raymond H. Chan, Ke Chen
<span title="">2010</span> <i title="Society for Industrial &amp; Applied Mathematics (SIAM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wbdvoluxebgjhn3wq3qsnldey4" style="color: black;">SIAM Journal on Scientific Computing</a> </i> &nbsp;
In this paper, we develop a fast multilevel algorithm for simultaneously denoising and deblurring images under the total variation regularization.  ...  Our new idea is to overcome the complexity issue by a detailed study of the structured matrices that are associated with the blurring operator.  ...  subspaces in coordinate descent fashion.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/080741410">doi:10.1137/080741410</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5kdmyozwnfbslgzuoojlmeyqly">fatcat:5kdmyozwnfbslgzuoojlmeyqly</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20110401104238/http://www.math.cuhk.edu.hk/~rchan/paper/cc-blur.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0d/61/0d61685a960e4d9681d42beb47da2e365b9145ee.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/080741410"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Async-RED: A Provably Convergent Asynchronous Block Parallel Stochastic Method using Deep Denoising Priors [article]

Yu Sun, Jiaming Liu, Yiran Sun, Brendt Wohlberg, Ulugbek S. Kamilov
<span title="2020-10-03">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Regularization by denoising (RED) is a recently developed framework for solving inverse problems by integrating advanced denoisers as image priors.  ...  We present complete theoretical analysis of the algorithm by establishing its convergence under explicit assumptions on the data-fidelity and the denoiser.  ...  Regularization by denoising (RED).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.01446v1">arXiv:2010.01446v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kivs53gdfzac7hhfwal7e3w3te">fatcat:kivs53gdfzac7hhfwal7e3w3te</a> </span>
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Regularization by Denoising Sub-sampled Newton Method for Spectral CT Multi-Material Decomposition [article]

Alessandro Perelli, Martin S. Andersen
<span title="2021-03-25">2021</span> <i title="The Royal Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ercgg4vn2fenngurcnadfzdfri" style="color: black;">Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</a> </i> &nbsp; <span class="release-stage" >pre-print</span>
We exploit a non-uniform block sub-sampling of the Hessian with inexact but efficient Conjugate gradient updates that require only Jacobian-vector products for denoising term.  ...  In particular, we propose to solve a regularized optimization problem based on a plug-in image-denoising function using a randomized second order method.  ...  ) approach [39] or the regularization by denoising (RED) [40, 41, 42] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1098/rsta.2020.0191">doi:10.1098/rsta.2020.0191</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/33966464">pmid:33966464</a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2103.13909v1">arXiv:2103.13909v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/khrtzanvtraxveikqu5kqjmzcu">fatcat:khrtzanvtraxveikqu5kqjmzcu</a> </span>
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Noise reduction of hyperspectral imagery using nonlocal sparse representation with spectral-spatial structure

Yuntao Qian, Minchao Ye, Qi Wang
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6i67v2zuujhfvocqaapmnsoifm" style="color: black;">2012 IEEE International Geoscience and Remote Sensing Symposium</a> </i> &nbsp;
Non-locality means the self-similarity of image, by which the whole image can be partitioned into some groups containing similar patches.  ...  Sparse representation with spectral-spatial structure can exploit spectral and spatial joint correlations of hyperspectral imagery also making the signal and noise more distinguished, in which 3-D blocks  ...  Denoised results on a hyperspectral data set acquired by a ground-based camera3470 4.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/igarss.2012.6350674">doi:10.1109/igarss.2012.6350674</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/igarss/QianYW12.html">dblp:conf/igarss/QianYW12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nnhlslgiqjdnhkffaltsznmyv4">fatcat:nnhlslgiqjdnhkffaltsznmyv4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160928231318/http://www.cs.zju.edu.cn:80/people/qianyt/paper/Noise%20reduction%20of%20hyperspectral%20imagery%20using%20nonlocal%20sparse%20representation%20with%20spectral-spatial%20structure.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fb/e6/fbe656fe9c3f5572198aa07a5407e8ef0f8cd560.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/igarss.2012.6350674"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>
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