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Open Archive Toulouse Archive Ouverte (OATAO) A Variational Model for Multiplicative Structured Noise Removal

Paul Escande, Pierre Weiss, Wenxing Zhang, P Escande, P Weiss, W Zhang
<span title="">2017</span> <i > Journal of Mathematical Imaging and Vision </i> &nbsp; <span class="release-stage">unpublished</span>
This is an author-deposited version published in: http://oatao.univ-toulouse.fr/ Eprints ID: 17759 To cite this version: Escande, Paul and Weiss, Pierre and Zhang, Wenxing A Variational Model for Multiplicative  ...  We model the multiplicative noise as a stationary process with known distribution. This leads to a novel convex image restoration model based on a maximum a posteriori estimator.  ...  The minimizer of (44) is referred to as MSNR, for Multiplicative Stationary Noise Removal.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180424123900/http://oatao.univ-toulouse.fr/17759/1/Escande_17759.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/9c/9f/9c9f2e53bde9b22ed352e4809f3a71516a41d3bc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Denoising Via Nonlinear Image Decomposition for a Digital Color Camera

Yuki Ishii, Takahiro Saito, Takashi Komatsu
<span title="">2007</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/anlh4tvwprcrtoxv5d4h6a7rye" style="color: black;">Proceedings of IEEE international conference on image processing</a> </i> &nbsp;
To remove signal-dependent noise of a digital camera, we present a denoising approach via nonlinear image-decomposition.  ...  In the approach, at the first decomposition stage, multiplicative imagedecomposition is performed, and a noisy image is represented as a product of its two components so that its structural component corresponding  ...  As for the nonlinear imagedecomposition model, we employ the BV-L1 variational model 17 , which is one of the most successful variational models.  ... 
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A Convex Variational Approach for Image Deblurring with Multiplicative Structured Noise

Tingting Wu, Wei Li, Lihua Li, Tieyong Zeng
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q7qi7j4ckfac7ehf3mjbso4hne" style="color: black;">IEEE Access</a> </i> &nbsp;
MULTIPLICATIVE STRUCTURED NOISE REMOVE In [23] , Escande et al. proposed a convex model to restore images with multiplicative structured noise.  ...  [24] (see Section II-B for details) proposed a variational stationary noise removal method to remove the additive structured noise in the scanning electron microscope.  ... 
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A Multiplicative Noise Removal Approach Based on Partial Differential Equation Model

Bo Chen, Jin-Lin Cai, Wen-Sheng Chen, Yan Li
<span title="">2012</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
Based on a fourth-order PDE model, this paper proposes a novel approach to remove the multiplicative noise on images.  ...  For noise removal, a new fourth-order PDE model is developed, which avoids the blocky effects produced by second-order PDE model and attains better edge-preserve ability.  ...  Figure 5 : 5 Structure of multiplicative noise removal algorithm based on the total variational model.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2012/242043">doi:10.1155/2012/242043</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zzsrpqsyzfh55jknq3e7vvxtsm">fatcat:zzsrpqsyzfh55jknq3e7vvxtsm</a> </span>
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A convex nonlocal total variation regularization algorithm for multiplicative noise removal

Mingju Chen, Hua Zhang, Qiang Han, Chen Cheng Huang
<span title="2019-01-31">2019</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xas42nwk7zhbnkycpwsnwjm3te" style="color: black;">EURASIP Journal on Image and Video Processing</a> </i> &nbsp;
This study proposes a nonlocal total variation restoration method to address multiplicative noise removal problems.  ...  The strictly convex, objective, nonlocal, total variation effectively utilizes prior information about the multiplicative noise and uses the maximum a posteriori estimator (MAP).  ...  Acknowledgements The authors thank the editor and anonymous reviewers for their helpful comments and valuable suggestions. Availability of data and materials Request for authors.  ... 
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A New Variational Approach for Multiplicative Noise and Blur Removal

Asmat Ullah, Wen Chen, Mushtaq Ahmad Khan, HongGuang Sun, Paul J Atzberger
<span title="2017-01-31">2017</span> <i title="Public Library of Science (PLoS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s3gm7274mfe6fcs7e3jterqlri" style="color: black;">PLoS ONE</a> </i> &nbsp;
This paper proposes a new variational model for joint multiplicative denoising and deblurring.  ...  The proposed model can also be applied for restoring both single and multi-channel images contaminated with multiplicative noise, and permit cross-channel blurs when the underlying image has more than  ...  The aim of this work, is to develop a new variational model for removing multiplicative noise (MN) and blur.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0161787">doi:10.1371/journal.pone.0161787</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28141802">pmid:28141802</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5283674/">pmcid:PMC5283674</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lxnryybw7ret7ia4ymrjodlgou">fatcat:lxnryybw7ret7ia4ymrjodlgou</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171012010708/http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0161787&amp;type=printable" 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/f5/cf/f5cfd93b6772c8cf3e62b6f884bca12fe4b52776.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0161787"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> plos.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5283674" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Edge-enhancing nonlinear filter for reducing multiplicative noise

Mark A. Schulze, Edward R. Dougherty, Jaakko T. Astola
<span title="1997-04-04">1997</span> <i title="SPIE"> Nonlinear Image Processing VIII </i> &nbsp;
This paper illustrates the design of a nonlinear filter for edge-enhancing smoothing of multiplicative noise using a morphology-based filter structure.  ...  For an image corrupted only by stationary multiplicative noise, the coefficient of variation is theoretically constant at every point.  ...  Stephen McNeill, for their assistance with the SAR imagery for this work. This work was partially funded by the New Zealand Foundation for Research, Science and Technology under contract C09506.  ... 
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Structured Bayesian Pruning via Log-Normal Multiplicative Noise [article]

Kirill Neklyudov, Dmitry Molchanov, Arsenii Ashukha, Dmitry Vetrov
<span title="2017-11-04">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The model leads to structured sparsity by removing elements with a low SNR from the computation graph and provides significant acceleration on a number of deep neural architectures.  ...  In the paper, we propose a new Bayesian model that takes into account the computational structure of neural networks and provides structured sparsity, e.g. removes neurons and/or convolutional channels  ...  Acknowledgments We would like to thank Christos Louizos and Max Welling for valuable discussions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1705.07283v2">arXiv:1705.07283v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ini4hvibn5gqdflowab4v3ciuy">fatcat:ini4hvibn5gqdflowab4v3ciuy</a> </span>
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Segmentation of Latent Fingerprint using Neural Network

<span title="2019-10-30">2019</span> <i title="Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/h673cvfolnhl3mnbjxkhtxdtg4" style="color: black;">International Journal of Engineering and Advanced Technology</a> </i> &nbsp;
Latent fingerprint segmentation is a difficult task due to low visibility, structured noise, and complex structure.  ...  In this paper, a fusion of morphological and neural network approach is purposed for latent fingerprint segmentation.  ...  It used a Hough-based method for the detection of structured noise such as line and removes it from the fingerprint image.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35940/ijeat.a9820.109119">doi:10.35940/ijeat.a9820.109119</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ad62ez5fsvcfznxtqwkvfwygla">fatcat:ad62ez5fsvcfznxtqwkvfwygla</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200209051157/https://www.ijeat.org/wp-content/uploads/papers/v9i1/A9820109119.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/6b/ac6ba8dc32f7db8d3378f5cf079114f81caabeae.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35940/ijeat.a9820.109119"> <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>

An Image Dehazing Model considering Multiplicative Noise and Sensor Blur

P. Jidesh, A. A. Bini
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lzz4ojblnbb73etptqqep64do4" style="color: black;">Journal of Computational Engineering</a> </i> &nbsp;
A restoration model considering the data-dependent multiplicative noise, shift-invariant blur, and haze has been introduced in this paper.  ...  The second step performs denoising and deblurring under a Gamma distributed noise setup and a linear blurring artefact.  ...  Literally we have no methods to compare our results, since so far no models have been proposed for multiplicative noise removal and dehazing. Nevertheless, we have tested the model Lan et al.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/125356">doi:10.1155/2014/125356</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gbzch3nqmvfunihzw4izdpmq5i">fatcat:gbzch3nqmvfunihzw4izdpmq5i</a> </span>
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Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation

Xiaofeng Yang, Miaochao Chen
<span title="2021-10-31">2021</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dur7nzaqy5hezkanc3eeianfuy" style="color: black;">Advances in Mathematical Physics</a> </i> &nbsp;
The noise pollution in tourist street view images is caused by various reasons. A major challenge that researchers have been facing is to find a way to effectively remove noise.  ...  We analyze the classic variational PDE-based denoising model and get a unified variational PDE energy functional model.  ...  Noise can be divided into additive noise and multiplicative noise.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2021/6547350">doi:10.1155/2021/6547350</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lwml3njfkvco5ow6nehtluqxty">fatcat:lwml3njfkvco5ow6nehtluqxty</a> </span>
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A Global Variational Filter for Restoring Noised Images with Gamma Multiplicative Noise

N. Diffellah, Z. E. Baarir, F. Derraz, A. Taleb-Ahmed
<span title="2019-06-08">2019</span> <i title="Engineering, Technology &amp; Applied Science Research"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lpxg3lmnljealhwgd4srjiuaqi" style="color: black;">Engineering, Technology &amp; Applied Science Research</a> </i> &nbsp;
In this paper, we focus on a globally variational method to restore noisy images corrupted by multiplicative gamma noise.  ...  structural similarity index) explain the proposed model΄s good performance.  ...  .: A Global Variational Filter for Restoring Noised Images with Gamma Multiplicative … www.etasr.com Diffellah et al.: A Global Variational Filter for Restoring Noised Images with Gamma Multiplicative  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.48084/etasr.2737">doi:10.48084/etasr.2737</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vxm2azes75byfo36ogeiysk35a">fatcat:vxm2azes75byfo36ogeiysk35a</a> </span>
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Denoising of Medical Images Using Total Variational Method

V N Prudhvi Raj
<span title="2012-04-30">2012</span> <i title="Academy and Industry Research Collaboration Center (AIRCC)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/i7obmiunyvar3l3fqzlsf6homq" style="color: black;">Signal &amp; Image Processing An International Journal</a> </i> &nbsp;
These operations will become difficult if the images are corrupted with noise. So the need for developing the efficient algorithms for noise removal became an important research area today.  ...  Developing Image denoising algorithms is a difficult operation because fine details in a medical image embedding diagnostic information should not be destroyed during noise removal.  ...  The pattern of the speckle depends on the structure of the imaging tissue and various imaging parameters. The speckle noise is a multiplicative noise which can be modeled using Rayleigh distribution.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5121/sipij.2012.3209">doi:10.5121/sipij.2012.3209</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5baabtrlgzb23bnpaznddze4hm">fatcat:5baabtrlgzb23bnpaznddze4hm</a> </span>
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Active Contour Model for Ultrasound Images with Rayleigh Distribution

Guodong Wang, Qian Dong, Zhenkuan Pan, Ximei Zhao, Jinbao Yang, Cunliang Liu
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
In this paper, we incorporate multiplicative noise removing model into active contour model for ultrasound images segmentation.  ...  The noises are strong and often called speckle noise, so segmentation is a hard work with this kind of noises.  ...  RLO method [28] is the first variational method for multiplicative noise removal by using TV (total variation) method. AA model [29] is established by using maximum a posteriori (MAP) estimator.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/295320">doi:10.1155/2014/295320</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ay5joas57jcpxj56psg2ou2jqa">fatcat:ay5joas57jcpxj56psg2ou2jqa</a> </span>
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Removing Impulse Bursts from Images by Training-Based Filtering

Pertti Koivisto, Jaakko Astola, Vladimir Lukin, Vladimir Melnik, Oleg Tsymbal
<span title="2003-03-13">2003</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hqblpsydr5emviirtqkkmctpha" style="color: black;">EURASIP Journal on Advances in Signal Processing</a> </i> &nbsp;
The model also takes into consideration other noise types, for example, the multiplicative noise present in radar images.  ...  The characteristics of impulse bursts in remote sensing images are analyzed and a model for this noise is proposed.  ...  Besides variations in the parameter values, other modifications in the noise model are possible as well.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/s1110865703211045">doi:10.1155/s1110865703211045</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fwqjrls6sfbp3alryvpyrf256u">fatcat:fwqjrls6sfbp3alryvpyrf256u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722184628/http://tampub.uta.fi/bitstream/handle/10024/66284/removing_impulse_bursts_2003.pdf;jsessionid=07862963E2372828305D5DF50CF4EAF6?sequence=1" 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/18/61/186164b812d2e0e18a8b18a59927029366f89abd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/s1110865703211045"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>
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