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1. Full Text Stable image reconstruction using total variation minimization
by Needell, Deanna and Ward, Rachel
SIAM Journal on Imaging Sciences, ISSN 1936-4954, 2013, Volume 6, Issue 2, pp. 1035 - 1058
This paper presents near-optimal guarantees for stable and robust image recovery from undersampled noisy measurements using total variation minimization. In... 
Stability | Restricted isometry property | Sobolev inequality | Total variation minimization | Compressed sensing | MATHEMATICS, APPLIED | compressed sensing | APPROXIMATION | SIGNAL RECOVERY | FOURIER | DECOMPOSITION | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | RESTORATION | ALGORITHMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | restricted isometry property | MATRICES | total variation minimization | RANDOM PROJECTIONS | REGULARIZATION | stability | Approximation | Mathematical analysis | Imaging | Inequalities | Images | Minimization | Image reconstruction | Optimization
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2. Full Text Electron tomography based on a total variation minimization reconstruction technique
by Goris, B and Van den Broek, W and Batenburg, K.J and Heidari Mezerji, H and Bals, S
Ultramicroscopy, ISSN 0304-3991, 02/2012, Volume 113, pp. 120 - 130
The 3D reconstruction of a tilt series for electron tomography is mostly carried out using the weighted backprojection (WBP) algorithm or using one of the... 
Electron tomography | Reconstruction algorithm | Compressive sensing | Total variation minimization | RESOLUTION | MATERIALS SCIENCE | MICROSCOPY | MISSING WEDGE | Algorithms | Image processing | Analysis | Tomography | Equipment and supplies | Methods | Nanotechnology
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3. Full Text Infrared and visible image fusion via gradient transfer and total variation minimization
by Ma, Jiayi and Chen, Chen and Li, Chang and Huang, Jun
Information Fusion, ISSN 1566-2535, 09/2016, Volume 31, pp. 100 - 109
In image fusion, the most desirable information is obtained from multiple images of the same scene and merged to generate a composite image. This resulting new... 
Total variation | Infrared | Registration | Gradient transfer | Image fusion | PERFORMANCE | COMPUTER SCIENCE, THEORY & METHODS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
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4. Full Text Sample Complexity of Total Variation Minimization
by Daei, Sajad and Haddadi, Farzan and Amini, Arash
IEEE Signal Processing Letters, ISSN 1070-9908, 08/2018, Volume 25, Issue 8, pp. 1151 - 1155
This letter considers the use of total variation (TV) minimization in the recovery of a given gradient sparse vector from Gaussian linear measurements. It has... 
Geometry | Phase measurement | total variation (TV) minimization | Minimization | Convex functions | Complexity theory | Standards | Phase transition | sample complexity | GUARANTEES | PHASE-TRANSITIONS | SIGNAL RECOVERY | ENGINEERING, ELECTRICAL & ELECTRONIC
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5. Full Text Total variation minimization filter for DBT imaging
by Mota, Ana M and Matela, Nuno and Oliveira, Nuno and Almeida, Pedro
Medical Physics, ISSN 0094-2405, 06/2015, Volume 42, Issue 6Part1, pp. 2827 - 2836
Purpose: Compressed sensing (CS) is a new approach in medical imaging which allows a sparse image to be reconstructed from undersampled data. Total variation... 
Reconstruction | Poisson's equation | digital breast tomosynthesis | Medical image noise | Medical image smoothing | Random noise | compressed sensing | Image enhancement or restoration, e.g. from bit‐mapped to bit‐mapped creating a similar image | Digital tomosynthesis mammography | X‐ray imaging | Noise | diagnostic radiography | image reconstruction | Biological material, e.g. blood, urine; Haemocytometers | image denoising | phantoms | Digital computing or data processing equipment or methods, specially adapted for specific applications | Image analysis | Image data processing or generation, in general | Medical image reconstruction | total variation minimization | medical image processing | Biomedical imaging | IMAGES | RECONSTRUCTION | NOISE | ALGORITHMS | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Algorithms | Humans | Signal-To-Noise Ratio | Radiographic Image Enhancement - methods | Image Processing, Computer-Assisted - methods | Mammography - methods | Phantoms, Imaging
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6. Full Text An Algorithm for Total Variation Minimization and Applications
by Chambolle, Antonin
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 2004, Volume 20, Issue 1-2, pp. 89 - 97
We propose an algorithm for minimizing the total variation of an image, and provide a proof of convergence. We show applications to image denoising, zooming,... 
Mean curvature motion | Total variation | Zooming | Image reconstruction | Denoising | denoising | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | mean curvature motion | total variation | image reconstruction | zooming | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
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7. Full Text Structure Adaptive Total Variation Minimization-Based Image Decomposition
by Song, Jinjoo and Cho, Heeryon and Yoon, Jungho and Yoon, Sang Min
IEEE Transactions on Circuits and Systems for Video Technology, ISSN 1051-8215, 09/2018, Volume 28, Issue 9, pp. 2164 - 2176
Structure-preserving image decomposition separates a given image into structure and texture by smoothing the image, simultaneously preserving or enhancing... 
Smoothing methods | image enhancement | Image edge detection | Transforms | Minimization | Image decomposition | Robustness | total variation minimization | CONTOURLET TRANSFORM | REPRESENTATIONS | APPROXIMATION | ALGORITHM | FILTERS | ENGINEERING, ELECTRICAL & ELECTRONIC | Adaptive structures | Algorithms | Smoothing | Rendering | Decomposition | Image compression | Photorealistic | Regularization | Image enhancement | Optimization
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8. Full Text High-order total variation minimization for interior tomography
by Yang, Jiansheng and Yu, Hengyong and Jiang, Ming and Wang, Ge
Inverse Problems, ISSN 0266-5611, 03/2010, Volume 26, Issue 3, pp. 035013 - 035013
Recently, an accurate solution to the interior problem was proposed based on the total variation (TV) minimization, assuming that a region of interest (ROI) is... 
MATHEMATICS, APPLIED | RADON-TRANSFORM | 180-DEGREES | IMAGE-RECONSTRUCTION | LAMBDA TOMOGRAPHY | ALGORITHMS | PHYSICS, MATHEMATICAL | LOCAL TOMOGRAPHY | COMPUTED-TOMOGRAPHY | Inverse problems | Television | X-rays | Tomography | Minimization | Projection | Mathematical models | Optimization | high order TV | total variation (TV) | compressive sensing | Interior tomography
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9. Full Text Reweighted Anisotropic Total Variation Minimization for Limited-Angle CT Reconstruction
by Ting Wang and Nakamoto, Katsuhiro and Heye Zhang and Huafeng Liu
IEEE Transactions on Nuclear Science, ISSN 0018-9499, 10/2017, Volume 64, Issue 10, pp. 2742 - 2760
Limited-angle problems encountered in computed tomography (CT) often necessitate image reconstruction using projection data from a particular angle range. To... 
compressed sensing (CS) | Computed tomography | Image edge detection | Anisotropic total variation (ATV) | Minimization | limited-angle CT | Mathematical model | reweighted technique | Image reconstruction | X-ray imaging | image reconstruction | SPARSITY | ART | IMAGE-RECONSTRUCTION | ALGORITHMS | COMPUTED-TOMOGRAPHY | ENGINEERING, ELECTRICAL & ELECTRONIC | NUCLEAR SCIENCE & TECHNOLOGY | SART | TRANSFORM | REGULARIZATION | Medical imaging | Sparsity | Image processing | Anisotropy | Information processing | Computer aided tomography | Ill-posed problems (mathematics) | All terrain vehicles | Edge detection
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10. Full Text Near-Optimal Compressed Sensing Guarantees for Total Variation Minimization
by Needell, Deanna and Ward, Rachel
IEEE Transactions on Image Processing, ISSN 1057-7149, 10/2013, Volume 22, Issue 10, pp. 3941 - 3949
Consider the problem of reconstructing a multidimensional signal from an underdetermined set of measurements, as in the setting of compressed sensing. Without... 
compressed sensing | Total variation minimization | optimization | L1-minimization | Compressed sensing | Optimization | UNCERTAINTY PRINCIPLES | RECONSTRUCTION | SIGNAL RECOVERY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Image processing | Innovations | Signal processing | Approximation theory | Mathematical optimization | Methods
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11. Full Text A Parallel Proximal Algorithm for Anisotropic Total Variation Minimization
by Kamilov, Ulugbek S
IEEE Transactions on Image Processing, ISSN 1057-7149, 02/2017, Volume 26, Issue 2, pp. 539 - 548
Total variation (TV) is a one of the most popular regularizers for stabilizing the solution of ill-posed inverse problems. This paper proposes a novel... 
Algorithm design and analysis | total variation regularization | Inverse problems | Signal processing algorithms | Approximation algorithms | convex optimization | Optimization | Convergence | Proximal gradient method | Convex optimization | inverse problems | SPARSITY | IMAGE | LINEAR INVERSE PROBLEMS | SHRINKAGE | RECONSTRUCTION | THRESHOLDING ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Algorithms | Research | Image processing | Ill-posed problems (mathematics) | Anisotropy | Regularization
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12. Full Text Total variation minimization filter for DBT imaging
by Mota, AM and Matela, N and Oliveira, N and Almeida, P
MEDICAL PHYSICS, ISSN 0094-2405, 06/2015, Volume 42, Issue 6, pp. 2827 - 2836
Purpose: Compressed sensing (CS) is a new approach in medical imaging which allows a sparse image to be reconstructed from undersampled data. Total variation... 
digital breast tomosynthesis | compressed sensing | total variation minimization | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING
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13. Full Text Joint reconstruction of multi-channel, spectral CT data via constrained total nuclear variation minimization
by Rigie, David S and La Rivière, Patrick J
Physics in Medicine and Biology, ISSN 0031-9155, 02/2015, Volume 60, Issue 5, pp. 1741 - 1762
We explore the use of the recently proposed 'total nuclear variation' (TVN) as a regularizer for reconstructing multi-channel, spectral CT images. This convex... 
multi-channel | nuclear norm | multi-spectral | photon counting | spectral CT | image reconstruction | total variation | VECTORIAL TOTAL VARIATION | SPARSITY | ENGINEERING, BIOMEDICAL | ALGORITHM | STATISTICAL IMAGE-RECONSTRUCTION | NOISE | PRINCIPLES | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Algorithms | Bone and Bones - diagnostic imaging | Humans | Tomography, X-Ray Computed - methods | Photons | Image Processing, Computer-Assisted - methods | Radiation Dosage | Phantoms, Imaging | Radiographic Image Interpretation, Computer-Assisted | Physics - Medical Physics | Multi-channel | Spectral CT | Total Variation | Image Reconstruction | Nuclear Norm | Photon Counting | Multi-spectral
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14. Full Text MPTV: Matching Pursuit-Based Total Variation Minimization for Image Deconvolution
by Dong Gong and Mingkui Tan and Qinfeng Shi and van den Hengel, Anton and Yanning Zhang
IEEE Transactions on Image Processing, ISSN 1057-7149, 04/2019, Volume 28, Issue 4, pp. 1851 - 1865
Total variation (TV) regularization has proven effective for a range of computer vision tasks through its preferential weighting of sharp image edges. Existing... 
Deconvolution | Matching pursuit algorithms | Total variation | Minimization | convex programming | matching pursuit | Task analysis | Kernel | Optimization | image deconvolution | ALGORITHM | BLIND DECONVOLUTION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | SPARSE REPRESENTATION | MODELS | SPLIT BREGMAN METHOD | REGULARIZATION | SELECTION | Computer vision | Artifacts | State of the art | Model matching | Smoothing | Images | Linear programming | Inhomogeneity | Parameter sensitivity | Regularization | Computer Science - Computer Vision and Pattern Recognition
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15. Full Text Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction
by Liu, Yan and Ma, Jianhua and Fan, Yi and Liang, Zhengrong
Physics in Medicine and Biology, ISSN 0031-9155, 12/2012, Volume 57, Issue 23, pp. 7923 - 7956
Previous studies have shown that by minimizing the total variation (TV) of the to-be-estimated image with some data and other constraints, piecewise-smooth... 
IMPLEMENTATION | CT RECONSTRUCTION | NOISE-REDUCTION | ENGINEERING, BIOMEDICAL | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | STRATEGIES | Tomography, X-Ray Computed - methods | Algorithms | Image Processing, Computer-Assisted - methods | Radiation Dosage | Phantoms, Imaging | sparse-sampled data | total variation | image reconstruction | Low-dose computed tomography | adaptive-weighted total variation
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16. Full Text Living near the edge: A lower-bound on the phase transition of total variation minimization
by Daei, Sajad and Haddadi, Farzan and Amini, Arash
IEEE Transactions on Information Theory, ISSN 0018-9448, 9/2019, pp. 1 - 1
This work is about the total variation (TV) minimization which is used for recovering gradient-sparse signals from compressed measurements. Recent studies... 
Geometry | Manifolds | Phase measurement | Sample Complexity | Null space | Total Variation Minimization | Minimization | Complexity theory | Statistical Dimension
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17. Full Text MIMO Ground Penetrating Radar Imaging Through Multilayered Subsurface Using Total Variation Minimization
by Zhang, Wenji and Hoorfar, Ahmad
IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 04/2019, Volume 57, Issue 4, pp. 2107 - 2115
In most of the existing ground penetrating radar (GPR) imaging algorithms, using either full or sparse data collection, the ground is modeled as a single... 
Ground penetrating radar | Ground penetrating radar (GPR) | Radar imaging | multiple-input multiple-output (MIMO) | Green's function methods | total variation minimization (TVM) | MIMO communication | Image reconstruction | multilayered subsurface | subsurface imaging | GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | RECONSTRUCTION | MEDIA | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | OPTIMIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MIMO (control systems) | Half spaces | Data collections | Data acquisition | Imaging techniques | Optimization | Complexity | Image quality | Wave propagation | Algorithms | Computation | Radar | Data collection | Apertures | Synthetic aperture radar
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18. Full Text On-The-Fly Approximation of Multivariate Total Variation Minimization
by Frecon, Jordan and Pustelnik, Nelly and Abry, Patrice and Condat, Laurent
IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2016, Volume 64, Issue 9, pp. 2355 - 2364
In the context of change-point detection, addressed by Total Variation minimization strategies, an efficient on-the-fly algorithm has been designed leading to... 
Algorithm design and analysis | Context | on-the-fly algorithm | Signal processing algorithms | multivariate | Minimization | Approximation algorithms | Computational efficiency | total variation | Constrained optimization | ALGORITHM | OPTIMIZATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Usage | Algorithms | Iterative methods (Mathematics) | Quality | Engineering Sciences | Signal and Image processing
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19. Full Text A fast total variation minimization method for image restoration
by Huang, Yumei and Ng, Michael K and Wen, You-Wei
Multiscale Modeling and Simulation, ISSN 1540-3459, 2008, Volume 7, Issue 2, pp. 774 - 795
In this paper, we study a fast total variation minimization method for image restoration. In the proposed method, we use the modified total variation... 
Deblurring | Total variation | Image restoration | Denoising | denoising | PRECONDITIONERS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | image restoration | MODELS | ALGORITHM | CONVERGENCE | total variation | PHYSICS, MATHEMATICAL | NOISE REMOVAL | deblurring
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