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RecAlgorithms.bib
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RecAlgorithms.bib
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% This file was created with JabRef 2.10.
% Encoding: Cp1252
@article{tuy,
author = {Heang K. Tuy},
title = {An Inversion Formula for {Cone-Beam Reconstruction}},
journal = {{SIAM} Journal on Applied Mathematics},
volume = {43},
number = {3},
pages = {546-552},
year = {1983},
doi = {10.1137/0143035},
URL = {
https://doi.org/10.1137/0143035
},
eprint = {
https://doi.org/10.1137/0143035
}
}
@Article{OS_SART,
Title = {Block-Iterative Algorithms with Diagonally Scaled Oblique Projections for the Linear Feasibility Problem},
Author = {Y. Censor and T. Elfving},
Journal = {{SIAM} Journal on Matrix Analysis and Applications},
Year = {2002},
Number = {1},
Pages = {40-58},
Volume = {24},
Doi = {10.1137/S089547980138705X},
Eprint = { http://dx.doi.org/10.1137/S089547980138705X},
Url = { http://dx.doi.org/10.1137/S089547980138705X}
}
@Article{chambolle2004algorithm,
Title = {An algorithm for total variation minimization and applications},
Author = {Chambolle, Antonin},
Journal = {Journal of Mathematical imaging and vision},
Year = {2004},
Number = {1},
Pages = {89--97},
Volume = {20},
Publisher = {Springer}
}
@InProceedings{GMRES,
Title = {Regularised {GMRES}-type Methods for
{X}-Ray Computed Tomography},
Author = { Coban, Sophia B. and Lionheart, William R.B. },
Booktitle = {The third international conference on image formation in X-ray computed tomography},
Year = {2014},
Pages = {194}
}
@Article{combettes2005signal,
Title = {Signal recovery by proximal forward-backward splitting},
Author = {Combettes, Patrick L and Wajs, Val{\'e}rie R},
Journal = {Multiscale Modeling \& Simulation},
Year = {2005},
Number = {4},
Pages = {1168--1200},
Volume = {4},
Publisher = {SIAM}
}
@Article{duran2013chambolle,
Title = {Chambolle's projection algorithm for total variation denoising},
Author = {Duran, Joan and Coll, Bartomeu and Sbert, Catalina},
Journal = {Image processing on Line},
Year = {2013},
Pages = {311--331},
Volume = {2013}
}
@Article{geyer2015state,
Title = {State of the art: iterative {CT} reconstruction techniques},
Author = {Geyer, Lucas L and Schoepf, U Joseph and Meinel, Felix G and Nance Jr, John W and Bastarrika, Gorka and Leipsic, Jonathon A and Paul, Narinder S and Rengo, Marco and Laghi, Andrea and De Cecco, Carlo N},
Journal = {Radiology},
Year = {2015},
Number = {2},
Pages = {339--357},
Volume = {276},
Publisher = {Radiological Society of North America}
}
@Article{241889,
Title = {Algebraic reconstruction techniques can be made computationally efficient (positron emission tomography application)},
Author = {G. T. Herman and L. B. Meyer},
Journal = {IEEE Transactions on Medical Imaging},
Year = {1993},
Month = {Sep},
Number = {3},
Pages = {600-609},
Volume = {12},
Doi = {10.1109/42.241889},
ISSN = {0278-0062},
Keywords = {computerised tomography;image reconstruction;medical image processing;radioisotope scanning and imaging;algebraic reconstruction technique;computational efficiency;expectation-maximization approach;iterative procedures;medical diagnostic imaging;nuclear medicine;positron emission tomography;relaxation parameters;Biomedical imaging;Computational efficiency;Humans;Image reconstruction;Isotopes;Iterative methods;Pharmaceuticals;Positron emission tomography;Radioactive decay;Subspace constraints}
}
@Other{Varian,
Title = {Iterative Cone Beam {CT}},
Author = {Varian Medical Systems Inc},
Url = {https://www.varian.com/oncology/products/treatment-delivery/iterative-cone-beam-ct},
Urldate = {2017-09-22},
Year = {2017}
}
@Article{jia2011gpu,
Title = {GPU-based fast low-dose cone beam CT reconstruction via total variation},
Author = {Jia, Xun and Lou, Yifei and Lewis, John and Li, Ruijiang and Gu, Xuejun and Men, Chunhua and Song, William Y and Jiang, Steve B},
Journal = {Journal of X-ray science and technology},
Year = {2011},
Number = {2},
Pages = {139--154},
Volume = {19},
Publisher = {IOS Press}
}
@Article{jiang2003convergence,
Title = {Convergence studies on iterative algorithms for image reconstruction},
Author = {Jiang, Ming and Wang, Ge},
Journal = {IEEE Transactions on Medical Imaging},
Year = {2003},
Number = {5},
Pages = {569--579},
Volume = {22},
Publisher = {IEEE}
}
@Article{K-1937,
Title = {{Angen\"{a}herte Aufl\"{o}sung von Systemen linearer Gleichungen}},
Author = {Kaczmarz, S.},
Journal = {Bulletin International de l'Acad\'{e}mie Polonaise des Sciences et des Lettres},
Year = {1937},
Pages = {355--357},
Volume = {35},
Citeulike-article-id = {9899191},
Posted-at = {2011-10-13 16:05:30},
Priority = {2}
}
@Book{SIRT,
Title = {Principles of computerized tomographic imaging},
Author = {Kak, Avinash C. and Slaney, Malcolm and IEEE Engineering in Medicine and Biology Society},
Publisher = {IEEE Press},
Year = {1988},
Address = {New York},
Note = {Published under the sponsorship of the IEEE Engineering in Medicine and Biology Society.},
ISBN = {0-87942-198-3},
Url = {http://opac.inria.fr/record=b1086573}
}
@Article{knoll2010fast,
Title = {Fast reduction of undersampling artifacts in radial {MR} angiography with {3D} total variation on graphics hardware},
Author = {Knoll, Florian and Unger, Markus and Diwoky, Clemens and Clason, Christian and Pock, Thomas and Stollberger, Rudolf},
Journal = {Magnetic resonance materials in physics, biology and medicine},
Year = {2010},
Number = {2},
Pages = {103--114},
Volume = {23},
Publisher = {Springer}
}
@Article{liesen2004convergence,
Title = {Convergence analysis of Krylov subspace methods},
Author = {Liesen, J{\"o}rg and Tich{\`y}, Petr},
Journal = {GAMM-Mitteilungen},
Year = {2004},
Number = {2},
Pages = {153--173},
Volume = {27},
Publisher = {Wiley Online Library}
}
@Article{liu2016accelerated,
Title = {An accelerated randomized Kaczmarz algorithm},
Author = {Liu, Ji and Wright, Stephen},
Journal = {Mathematics of Computation},
Year = {2016},
Number = {297},
Pages = {153--178},
Volume = {85}
}
@Article{liu2015reconstruction,
Title = {Reconstruction of sparse-view X-ray computed tomography using adaptive iterative algorithms},
Author = {Liu, Li and Lin, Weikai and Jin, Mingwu},
Journal = {Computers in biology and medicine},
Year = {2015},
Pages = {97--106},
Volume = {56},
Owner = {Ander},
Publisher = {Elsevier},
Timestamp = {2017.10.19}
}
@Article{liu2013nonparametric,
Title = {Nonparametric optimization of constrained total variation for tomography reconstruction},
Author = {Liu, Li and Yin, Zhaofang and Ma, Xueyun},
Journal = {Computers in biology and medicine},
Year = {2013},
Number = {12},
Pages = {2163--2176},
Volume = {43},
Owner = {Ander},
Publisher = {Elsevier},
Timestamp = {2017.10.19}
}
@Article{liu2012adaptive,
Title = {Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction},
Author = {Liu, Yan and Ma, Jianhua and Fan, Yi and Liang, Zhengrong},
Journal = {Physics in medicine and biology},
Year = {2012},
Number = {23},
Pages = {7923},
Volume = {57},
Owner = {Ander},
Publisher = {IOP Publishing},
Timestamp = {2017.10.19}
}
@Article{Vee,
Title = {Parameter selection in limited data cone-beam CT reconstruction using edge-preserving total variation algorithms},
Author = {Manasavee Lohvithee and Ander Biguri and Manuchehr Soleimani},
Journal = {Physics in Medicine and Biology},
Year = {2017},
Abstract = {Abstract There are a number of powerful total variation (TV) regularization methods with great promises in limited data cone-beam CT reconstruction with an enhancement of image quality. These promising TV methods require careful selection of image reconstruction parameters for which there is no well established criteria. This pa- per presents a comprehensive valuation of parameter selection in a number of major TV-based reconstruction algorithms. The appropriate way of selecting the values for each individual parameter has been suggested. Finally, the new adaptive-weighted projection-controlled steepest descent (AwPCSD) algorithm is presented which imple- ments the edge-preserving function for CBCT reconstruction with limited data. The proposed algorithm shows signicant robustness compared to other three existing al- gorithms: ASD-POCS, AwASD-POCS and PCSD. The proposed AwPCSD algorithm is able to preserve the edges of the reconstructed images better with less sensitive pa- rameters to tune.},
Owner = {Ander},
Timestamp = {2017.10.19},
Url = {http://iopscience.iop.org/10.1088/1361-6560/aa93d3}
}
@InProceedings{nesterov1983method,
Title = {A method of solving a convex programming problem with convergence rate O (1/k2)},
Author = {Nesterov, Yurii},
Booktitle = {Soviet Mathematics Doklady},
Year = {1983},
Number = {2},
Pages = {372--376},
Volume = {27}
}
@Misc{paysan2017iterative,
Title = {Iterative image reconstruction in image-guided radiation therapy},
Author = {Paysan, P. and Brehm, M. and Wang, A. and Seghers, D. and Star-Lack, J.},
Month = apr # {~20},
Note = {WO Patent App. PCT/US2016/056,539},
Year = {2017},
Publisher = {Google Patents},
Url = {https://www.google.sr/patents/WO2017066248A1?cl=en}
}
@Article{qiu2012blockwise,
Title = {Blockwise conjugate gradient methods for image reconstruction in volumetric CT},
Author = {Qiu, Wei and Titley-P{\'e}loquin, David and Soleimani, Manuchehr},
Journal = {Computer methods and programs in biomedicine},
Year = {2012},
Number = {2},
Pages = {669--678},
Volume = {108},
Publisher = {Elsevier}
}
@Article{DBLP:journals/corr/Ruder16,
Title = {An overview of gradient descent optimization algorithms},
Author = {Sebastian Ruder},
Journal = {CoRR},
Year = {2016},
Volume = {abs/1609.04747},
Bibsource = {dblp computer science bibliography, http://dblp.org},
Biburl = {http://dblp.uni-trier.de/rec/bib/journals/corr/Ruder16},
Timestamp = {Wed, 07 Jun 2017 14:40:06 +0200},
Url = {http://arxiv.org/abs/1609.04747}
}
@Article{RUDIN,
Title = {Nonlinear total variation based noise removal algorithms},
Author = {Leonid I. Rudin and Stanley Osher and Emad Fatemi},
Journal = {Physica D: Nonlinear Phenomena},
Year = {1992},
Number = {1},
Pages = {259 - 268},
Volume = {60},
Doi = {http://dx.doi.org/10.1016/0167-2789(92)90242-F},
ISSN = {0167-2789},
Url = {http://www.sciencedirect.com/science/article/pii/016727899290242F}
}
@Misc{shewchuk1994introduction,
Title = {An introduction to the conjugate gradient method without the agonizing pain},
Author = {Shewchuk, Jonathan Richard and others},
Year = {1994}
}
@Article{ASD_POCS,
Title = {Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization},
Author = {Sidky, E.Y. and Pan, X.},
Journal = {Physics in Medicine and Biology},
Year = {2008},
Number = {17},
Pages = {4777},
Volume = {53},
Abstract = {An iterative algorithm, based on recent work in compressive sensing, is developed for volume image reconstruction from a circular cone-beam scan. The algorithm minimizes the total variation (TV) of the image subject to the constraint that the estimated projection data is within a specified tolerance of the available data and that the values of the volume image are non-negative. The constraints are enforced by the use of projection onto convex sets (POCS) and the TV objective is minimized by steepest descent with an adaptive step-size. The algorithm is referred to as adaptive-steepest-descent-POCS (ASD-POCS). It appears to be robust against cone-beam artifacts, and may be particularly useful when the angular range is limited or when the angular sampling rate is low. The ASD-POCS algorithm is tested with the Defrise disk and jaw computerized phantoms. Some comparisons are performed with the POCS and expectation-maximization (EM) algorithms. Although the algorithm is presented in the context of circular cone-beam image reconstruction, it can also be applied to scanning geometries involving other x-ray source trajectories.},
Url = {http://stacks.iop.org/0031-9155/53/i=17/a=021}
}
@Article{strohmer2009randomized,
Title = {A randomized Kaczmarz algorithm with exponential convergence},
Author = {Strohmer, Thomas and Vershynin, Roman},
Journal = {Journal of Fourier Analysis and Applications},
Year = {2009},
Number = {2},
Pages = {262--278},
Volume = {15},
Publisher = {Springer}
}
@InProceedings{sutskever2013importance,
Title = {On the importance of initialization and momentum in deep learning},
Author = {Sutskever, Ilya and Martens, James and Dahl, George and Hinton, Geoffrey},
Booktitle = {International conference on machine learning},
Year = {2013},
Pages = {1139--1147}
}
@Article{tian2011low,
Title = {Low-dose {CT} reconstruction via edge-preserving total variation regularization},
Author = {Tian, Zhen and Jia, Xun and Yuan, Kehong and Pan, Tinsu and Jiang, Steve B},
Journal = {Physics in medicine and biology},
Year = {2011},
Number = {18},
Pages = {5949},
Volume = {56},
Owner = {Ander},
Publisher = {IOP Publishing},
Timestamp = {2017.10.19}
}
@Article{van1992bi,
Title = {{Bi-CGSTAB}: A fast and smoothly converging variant of {Bi-CG} for the solution of nonsymmetric linear systems},
Author = {Van der Vorst, Henk A},
Journal = {SIAM Journal on scientific and Statistical Computing},
Year = {1992},
Number = {2},
Pages = {631--644},
Volume = {13},
Publisher = {SIAM}
}
@Article{vogel1996iterative,
Title = {Iterative methods for total variation denoising},
Author = {Vogel, Curtis R and Oman, Mary E},
Journal = {SIAM Journal on Scientific Computing},
Year = {1996},
Number = {1},
Pages = {227--238},
Volume = {17},
Publisher = {SIAM}
}
@InProceedings{B_ASD_POCS_beta,
Title = {An improved {TV} minimization algorithm for incomplete data problem in computer tomography},
Author = {H. Xue and L. Zhang and Z. Cheng and Y. Xing and Y. Xiao},
Booktitle = {Nuclear Science Symposium Conference Record (NSS/MIC), 2010 IEEE},
Year = {2010},
Month = {Oct},
Pages = {2621-2624},
Doi = {10.1109/NSSMIC.2010.5874264},
ISSN = {1095-7863},
Keywords = {computerised tomography;image reconstruction;iterative methods;medical image processing;minimisation;B-POCS-TV-$\beta$;Bregman iteration;POCS-TV method;TV minimization algorithm;computer tomography;convergence speed;image quality;incomplete data problem;reconstruction error;total variation;Computed tomography;Convergence;Image reconstruction;Minimization;Optimization;TV;B-POCS-TV-$\beta$;Computer tomography (CT);POCS-TV;TV minimization;few-view;limited-angle}
}
@Article{zhu2008efficient,
Title = {An efficient primal-dual hybrid gradient algorithm for total variation image restoration},
Author = {Zhu, Mingqiang and Chan, Tony}
}
@Article{zhu2010duality,
Title = {Duality-based algorithms for total-variation-regularized image restoration},
Author = {Zhu, Mingqiang and Wright, Stephen J and Chan, Tony F},
Journal = {Computational Optimization and Applications},
Year = {2010},
Number = {3},
Pages = {377--400},
Volume = {47},
Publisher = {Springer}
}
@article{cimmino1938cacolo,
title={Cacolo approssimato per le soluzioni dei systemi di equazioni lineari},
author={Cimmino, Gianfranco},
journal={La Ricerca Scientifica (Roma)},
volume={1},
pages={326--333},
year={1938}
}
@article{chen2008prior,
title={Prior image constrained compressed sensing {(PICCS)}: a method to accurately reconstruct dynamic {CT} images from highly undersampled projection data sets},
author={Chen, Guang-Hong and Tang, Jie and Leng, Shuai},
journal={Medical physics},
volume={35},
number={2},
pages={660--663},
year={2008},
publisher={Wiley Online Library}
}
@MISC {Andras,
TITLE = {Gradient of the {TV} norm of an image},
AUTHOR = {{Andr{\'a}s De{\'a}k} (https://math.stackexchange.com/users/303264/andras-deak)},
HOWPUBLISHED = {Mathematics Stack Exchange},
NOTE = {URL:https://math.stackexchange.com/q/1612078 (version: 2017-06-09)},
EPRINT = {https://math.stackexchange.com/q/1612078},
URL = {https://math.stackexchange.com/q/1612078}
}
@article{li2006general,
title={A general exact method for synthesizing parallel-beam projections from cone-beam projections via filtered backprojection},
author={Li, Liang and Chen, Zhiqiang and Xing, Yuxiang and Zhang, Li and Kang, Kejun and Wang, Ge},
journal={Physics in medicine and biology},
volume={51},
number={21},
pages={5643},
year={2006},
publisher={IOP Publishing}
}
@phdthesis{turbell2001cone,
title={Cone-beam reconstruction using filtered backprojection},
author={Turbell, Henrik},
year={2001},
school={Link{\"o}ping University Electronic Press}
}
@incollection{CBCTbook,
author = "Li, Liang and Chen zhiqiang and Wang, Ge",
title = "Reconstruction algorithms",
editor = "Shaw, Chris C.",
booktitle = "Cone Beam Computed Tomography",
publisher = "CRC Press",
year = 2014,
pages = "21-35",
chapter = 3,
}
@article{wang2004ordered,
title={Ordered-subset simultaneous algebraic reconstruction techniques ({OS-SART})},
author={Wang, Ge and Jiang, Ming},
journal={Journal of {X}-ray Science and Technology},
volume={12},
number={3},
pages={169--177},
year={2004},
publisher={IOS Press}
}