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Image quality assessment based on quaternion singular value decomposition

Qingbing Sang, Yunshuo Yang, Lixiong Liu, Xiaoning Song, Xiaojun Wu
<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;
We propose an image quality assessment metric based on quaternion singular value decomposition that represents a color image as a quaternion matrix, separates image noise information using singular value  ...  In the proposed method, the color image and its local variance are represented by using quaternion and then performing singular value decomposition.  ...  The advantage of quaternion singular value decomposition is that it represents the color image as a whole and overcomes the shortcoming of traditional singular value decomposition. III.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2989312">doi:10.1109/access.2020.2989312</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qzxkaqwirraj7mtfar4yntxpiq">fatcat:qzxkaqwirraj7mtfar4yntxpiq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201108110852/https://ieeexplore.ieee.org/ielx7/6287639/8948470/09075250.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/a1/d2/a1d2ec3df4df147b8192452f3343cac2d9e6a0ee.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2020.2989312"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> ieee.com </button> </a>

Hyperspectral Image Enhancement by Two Dimensional Quaternion Valued Singular Spectrum Analysis for Object Recognition

Yuxin Lin, Bingo Wing-Kuen Ling, Lingyue Hu, Yiting Zheng, Nuo Xu, Xueling Zhou, Xinpeng Wang
<span title="2021-01-25">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kay2tsbijbawliu45dnhvyvgsq" style="color: black;">Remote Sensing</a> </i> &nbsp;
Compared to the conventional two dimensional real valued singular spectrum analysis based method where only the pixels in a color plane is exploited, the two dimensional quaternion valued singular spectrum  ...  This paper proposes a two dimensional quaternion valued singular spectrum analysis based method for enhancing the hyperspectral image.  ...  Besides, the quaternion singular value decomposition, as the extension of the singular value decomposition, has been successfully applied to many multichannel application, such as processing of a color  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/rs13030405">doi:10.3390/rs13030405</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/buuloxr2ebfcrbq77uzp62gwme">fatcat:buuloxr2ebfcrbq77uzp62gwme</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210213160126/https://res.mdpi.com/d_attachment/remotesensing/remotesensing-13-00405/article_deploy/remotesensing-13-00405.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/90/64/9064ebd1da23a18ae0c6c17c33e3dac50b331056.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/rs13030405"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Analysis of watermarking framework for color image through a neural network-based approach

M. F. Kazemi, M. A. Pourmina, A. H. Mazinan
<span title="2020-01-30">2020</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nnhntxrl5vg2zjrahf7teas5oy" style="color: black;">Complex &amp; Intelligent Systems</a> </i> &nbsp;
In the research presented here, the general idea of watermarking framework is analyzed to deal with color image under a set of attacks through a neural network-based approach.  ...  In summary, there is the logo information that is embedded in the edge of color image, while the Zenzo edge detector is correspondingly realized to handle the approach.  ...  transform and singular value decomposition are realized [8] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40747-020-00129-4">doi:10.1007/s40747-020-00129-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kaqmtqzf3vcgfjoxmeg7xdqhmy">fatcat:kaqmtqzf3vcgfjoxmeg7xdqhmy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200217041728/https://link.springer.com/content/pdf/10.1007%2Fs40747-020-00129-4.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/b1/97/b1974fdd6310a1e00f07619080d5f5f86c9f1770.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40747-020-00129-4"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a>

Quaternion Processing Techniques for Color Synthesized NDT Thermography

Pablo Venegas, Rubén Usamentiaga, Juan Perán, Idurre Sáez de Ocáriz
<span title="2021-01-15">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/smrngspzhzce7dy6ofycrfxbim" style="color: black;">Applied Sciences</a> </i> &nbsp;
to color images.  ...  The extracted information is synthesized into three channels that may be represented through real color images and processed by quaternion algebra techniques to improve the detection level and facilitate  ...  PCA is performed with thermographic data by the singular value decomposition of the temperature-time sequence of each pixel according to the relation: A p = U T S A (3) where U is the eigenvector matrix  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/app11020790">doi:10.3390/app11020790</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r55qvqoanbcovayvsdvfrbnewm">fatcat:r55qvqoanbcovayvsdvfrbnewm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210127222934/https://res.mdpi.com/d_attachment/applsci/applsci-11-00790/article_deploy/applsci-11-00790-v2.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/f3/a9/f3a9aa4d2764b0d0d5fef198b3d7d0da7d0574fd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/app11020790"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

A Cryptographic and Watermarking Encryption Technique for Securing and Authentication of Digital Images

Quist-Aphetsi Kester, Laurent Nana, Anca Christine Pascu, Sophie Gire, Jojo M. Eghan, Nii Narku Quaynor
<span title="2015-06-18">2015</span> <i title="Foundation of Computer Science"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b637noqf3vhmhjevdfk3h5pdsu" style="color: black;">International Journal of Computer Applications</a> </i> &nbsp;
In our approach, we encrypt the data to be embedded into the image before embedding it to the image. We make sure we select a random position in the image based on an embedding key.  ...  We make sure the message to be embedded was converted into values that falls in between 0-255. This is to avoid it being detected using forensic or steganalytic software.  ...  Ali, M., et al in their work of "An image watermarking scheme in wavelet domain with optimized compensation of singular value decomposition via artificial bee colony" proposed a blind color image watermarking  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5120/21078-3755">doi:10.5120/21078-3755</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bhtzl3mfw5h5hdwpq7ba3e3srq">fatcat:bhtzl3mfw5h5hdwpq7ba3e3srq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180602015018/https://research.ijcaonline.org/volume119/number7/pxc3903755.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/05/b3/05b35b8932b4b9850cfc8c958d7273ec9d391eba.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5120/21078-3755"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Color Sparse Representations for Image Processing: Review, Models, and Prospects

Quentin Barthelemy, Anthony Larue, Jerome I. Mars
<span title="">2015</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dhlhr4jqkbcmdbua2ca45o7kru" style="color: black;">IEEE Transactions on Image Processing</a> </i> &nbsp;
Sparse representations have been extended to deal with color images composed of three channels.  ...  Moreover, this allows it to be shown that the scalar quaternionic linear model is equivalent to constrained matrixbased color filtering, which highlights the filtering implicitly applied through this model  ...  These 3D values define the color pixels in the RGB color cube [46] , thus giving a color image.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tip.2015.2458175">doi:10.1109/tip.2015.2458175</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26208343">pmid:26208343</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iz5yp7c77ncrfighoajgnj4vv4">fatcat:iz5yp7c77ncrfighoajgnj4vv4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170924211820/https://hal.archives-ouvertes.fr/hal-01187517/document" 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/80/a9/80a9c1c69fd82034911b5a01c7b8e572ef77c7e7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tip.2015.2458175"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Efficient Robust Watermarking Based on Quaternion Singular Value Decomposition and Coefficient Pair Selection [article]

Yong Chen, Zhi-Gang Jia, Ya-Xin Peng, Yan Peng
<span title="2020-11-06">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Quaternion singular value decomposition (QSVD) is a robust technique of digital watermarking which can extract high quality watermarks from watermarked images with low distortion.  ...  In this way, compared with conventional QSVD, the proposed watermarking strategy avoids more modifications to a single color image layer and a better visual quality of the watermarked image is observed  ...  IMPROVED QUATERNION SINGULAR VALUE DECOMPOSITION In this section, we present an improved version of QSVD. THEOREM III.1 (QSVD [36]). Let Q ∈ H m×n .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2011.03631v1">arXiv:2011.03631v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cra6h7ll6jawple3pyptxbhqbm">fatcat:cra6h7ll6jawple3pyptxbhqbm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201111023300/https://arxiv.org/pdf/2011.03631v1.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/9f/77/9f77ef51f79bfbadb343b6b8ec80470fe83ce927.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2011.03631v1" 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>

Robust hashing for image authentication using quaternion discrete Fourier transform and log-polar transform

Junlin Ouyang, Gouenou Coatrieux, Huazhong Shu
<span title="">2015</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g6jayzerzbghtmzwzxwzmb65bm" style="color: black;">Digital signal processing (Print)</a> </i> &nbsp;
QDFT offers a sound way to jointly deal with the three channels of color images.  ...  Experiments were conducted in order to analyze and identify the most appropriate parameter values of the proposed method and also to compare its performance to some reference methods in terms of receiver  ...  Matrix decomposition-based image hashing methods: Kozat et al. [17] used singular value decomposition (SVD) to get robust image features and to generate an image hash.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.dsp.2015.03.006">doi:10.1016/j.dsp.2015.03.006</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qxrieeok5rbhhmmohk2kwav3za">fatcat:qxrieeok5rbhhmmohk2kwav3za</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170924025311/https://hal.archives-ouvertes.fr/hal-01222780/document" 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/95/80/958044c72b967911585e65e324749bd24013bf23.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.dsp.2015.03.006"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering

Clive Cheong Took, Danilo P. Mandic
<span title="">2010</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
In principle, the speed of convergence could be de- Abstract-A learning algorithm for the training of quaternion valued adaptive infinite impulse (IIR) filters is introduced.  ...  give the quaternion-valued stochastic gradient algorithm for adaptive IIR filtering (QSG-IIR).  ...  We will therefore refer to the eigenvalues of the quaternion singular value decomposition as the right eigenvalues [14] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2010.2047719">doi:10.1109/tsp.2010.2047719</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sjlibmhuyjhu5idhq7spn3yziu">fatcat:sjlibmhuyjhu5idhq7spn3yziu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809081028/https://www.surrey.ac.uk/cs/files/pdf/papers/Clive_Cheong_Took/Quaternion_IIR_CCT_DPM.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/99/c2/99c254261b64d1ebc556341953817fde5c657865.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2010.2047719"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Vector Extension of Monogenic Wavelets for Geometric Representation of Color Images

Raphaël Soulard, Philippe Carre, Christine Fernandez-Maloigne
<span title="">2013</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dhlhr4jqkbcmdbua2ca45o7kru" style="color: black;">IEEE Transactions on Image Processing</a> </i> &nbsp;
Starting from a link with structure tensors, we propose a non-trivial extension of the monogenic framework to vector-valued signals to carry out a non marginal color monogenic wavelet transform.  ...  Monogenic wavelets offer a geometric representation of grayscale images through an AM/FM model allowing invariance of coefficients to translations and rotations.  ...  ACKNOWLEDGMENT We would like to thank the anonymous reviewers whose numerous remarks greatly contributed to this paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tip.2012.2226902">doi:10.1109/tip.2012.2226902</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23193237">pmid:23193237</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lc5z3fcnizbshbwb3e3mqdlprq">fatcat:lc5z3fcnizbshbwb3e3mqdlprq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190322185252/https://core.ac.uk/download/pdf/52868105.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/6f/94/6f942d0a06076e956fe620befcbe4c0202d25bb3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tip.2012.2226902"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Fast noniterative calibration of an external motion tracking device

Benjamin Zahneisen, Chris Lovell-Smith, Michael Herbst, Maxim Zaitsev, Oliver Speck, Brian Armstrong, Thomas Ernst
<span title="2013-06-20">2013</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/34p2n5u2vjfgrf7j2rmkmfhogu" style="color: black;">Magnetic Resonance in Medicine</a> </i> &nbsp;
Here, we describe a fast, accurate, non-iterative technique to determine the position of an external tracking device de novo relative to the MR reference frame.  ...  By using a dual quaternion algorithm to solve the calibration problem, a good camera calibration can be achieved with fewer than 6 measurements.  ...  Singular value decomposition of H yields: , and the optimal rotation matrix which minimizes Eq. [5] is then given as R = VU T .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/mrm.24806">doi:10.1002/mrm.24806</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23788117">pmid:23788117</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3855221/">pmcid:PMC3855221</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2rflakmv5zfglfrrgisa7rnvta">fatcat:2rflakmv5zfglfrrgisa7rnvta</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191021142717/http://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC3855221&amp;blobtype=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/24/ef/24ef1909bd1299770eac0ae8fb342d6c0c282fd3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/mrm.24806"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3855221" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

A Survey on Quaternion Algebra and Geometric Algebra Applications in Engineering and Computer Science 1995–2020

Eduardo Bayro-Corrochano
<span title="">2021</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;
INDEX TERMS Geometric algebra, Clifford algebra, quaternion algebra, screw theory, signal processing, electrical engineering and power systems, geometric and quantum computing, image processing, computer  ...  This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering from 1995 to 2020.  ...  This approach seems to be better than the old-fashioned channelwise color image processing.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2021.3097756">doi:10.1109/access.2021.3097756</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m3ceud7ng5abra72zp76se5iei">fatcat:m3ceud7ng5abra72zp76se5iei</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210805020135/https://ieeexplore.ieee.org/ielx7/6287639/9312710/09488174.pdf?tp=&amp;arnumber=9488174&amp;isnumber=9312710&amp;ref=" 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/13/a2/13a2096dcf2b98723d961e81d3ed5e0dd97d0965.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/access.2021.3097756"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> ieee.com </button> </a>

Improving digital image watermarking by means of optimal channel selection

Thien Huynh-The, Oresti Banos, Sungyoung Lee, Yongik Yoon, Thuong Le-Tien
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ekjwtd7zwfeipf5aknu4733lzy" style="color: black;">Expert systems with applications</a> </i> &nbsp;
This paper presents an improved digital image watermarking model based on a coefficient quantization technique that intelligently encodes the owner's information for each color channel to improve imperceptibility  ...  The channel selection aims to minimize the visual difference between the original image and the embedded image.  ...  The embedding algorithm is implemented based on the modification of singular values of non-overlapping blocks of host images in the wavelet domain.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.eswa.2016.06.015">doi:10.1016/j.eswa.2016.06.015</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qo5tyrjvqrgmxnpfhuozlya3ya">fatcat:qo5tyrjvqrgmxnpfhuozlya3ya</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200710032921/https://ris.utwente.nl/ws/files/6720696/huynhthe_eswa_2016.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/11/5d/115d770f31eb5727e4476b1b32a4fe15870c283d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.eswa.2016.06.015"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Wavelet-based Scale Saliency [article]

Anh Cat Le Ngo, Kenneth Li-Minn Ang, Jasmine Kah-Phooi Seng, Guoping Qiu
<span title="2013-01-14">2013</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Quantitative results, ROC curves, AUC values and NSS values are collected from simulations on Bruce and Kootstra image databases with human eye-tracking data as ground-truth.  ...  The paper discusses different wavelet descriptors: discrete wavelet transform (DWT), wavelet packet transform (DWPT), quaternion wavelet transform (QWT) and best basis quaternion wavelet packet transform  ...  To evaluate them against other saliency approaches, they 741 are compared with PSS [7], and the de-facto ITT model [3].  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1301.2884v1">arXiv:1301.2884v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/akled7atjfatxdjrxgrs76wtna">fatcat:akled7atjfatxdjrxgrs76wtna</a> </span>
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Temporal and Spatial Independent Component Analysis for fMRI data sets embedded in a R package [article]

Cécile Bordier and Michel Dojat and Pierre Lafaye de Micheaux
<span title="2010-12-01">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
For statistical analysis of functional Magnetic Resonance Imaging (fMRI) data sets, we propose a data-driven approach based on Independent Component Analysis (ICA) implemented in a new version of the AnalyzeFMRI  ...  For fMRI data sets, spatial dimension being much greater than temporal dimension, spatial ICA is the tractable approach generally proposed.  ...  The authors would also like to thank Professor Christian Jutten for many helpful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1012.0269v1">arXiv:1012.0269v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mt334iqrhbbwhipy4koqr5exzq">fatcat:mt334iqrhbbwhipy4koqr5exzq</a> </span>
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