Stable Image Reconstruction Using Transformed Total Variation Minimization

An adaptive method for image restoration based on high-order total variation and inverse gradient

(2020) Dang N. H. Thanh et al.   Signal Image and Video Processing

Image Super-Resolution Using TV Priori Guided Convolutional Network

(2019) Bo Fu et al.   PATTERN RECOGNITION LETTERS

Image denoising based on the adaptive weighted TV regularization

(2019) Zhi-Feng Pang et al.   SIGNAL PROCESSING

Minimization of transformed L1 penalty: theory, difference of convex function algorithm, and robust application in compressed sensing

(2018) Shuai Zhang et al.   MATHEMATICAL PROGRAMMING

Optimization-based region-of-interest reconstruction for X-ray computed tomography based on total variation and data derivative

(2018) Ailong Cai et al.   Physica Medica-European Journal of Medical Physics

Stochastic Collocation Methods via Minimisation of the Transformed L 1 -Penalty

(2018) Ling Guo et al.   East Asian Journal on Applied Mathematics

Fast L1–L2 Minimization via a Proximal Operator

(2017) Yifei Lou et al.   JOURNAL OF SCIENTIFIC COMPUTING

A weighted difference of L1 and L2 on the gradient minimization based on alternating direction method for circular computed tomography

(2017) Wanli Lu et al.   Journal of X-Ray Science and Technology

Optimal RIP bounds for sparse signals recovery via ℓ minimization

(2017) Rui Zhang et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Multiscale Tikhonov-Total Variation Image Restoration Using Spatially Varying Edge Coherence Exponent

(2015) V. B. Surya Prasath et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

Accurate low-dose iterative CT reconstruction from few projections by Generalized Anisotropic Total Variation minimization for industrial CT

(2015) Maurice Debatin et al.   Journal of X-Ray Science and Technology

On the Role of Total Variation in Compressed Sensing

(2015) Clarice Poon   SIAM Journal on Imaging Sciences

Minimization of $\ell_{1-2}$ for Compressed Sensing

(2015) Penghang Yin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices

(2014) T. Tony Cai et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Computing Sparse Representation in a Highly Coherent Dictionary Based on Difference of L 1 and L 2

(2014) Yifei Lou et al.   JOURNAL OF SCIENTIFIC COMPUTING

Near-Optimal Compressed Sensing Guarantees for Total Variation Minimization

(2013) Deanna Needell et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

A Generalized Forward-Backward Splitting

(2013) Hugo Raguet et al.   SIAM Journal on Imaging Sciences

Stable Image Reconstruction Using Total Variation Minimization

(2013) Deanna Needell et al.   SIAM Journal on Imaging Sciences

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization

(2013) Ming-Jun Lai et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Sharp RIP bound for sparse signal and low-rank matrix recovery

(2012) T. Tony Cai et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Low-Dose X-ray CT Reconstruction via Dictionary Learning

(2012) Qiong Xu et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Sparse Legendre expansions via ℓ1-minimization

(2012) Holger Rauhut et al.   JOURNAL OF APPROXIMATION THEORY

Image restoration: Total variation, wavelet frames, and beyond

(2012) Jian-Feng Cai et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm

(2012) Emil Y Sidky et al.   PHYSICS IN MEDICINE AND BIOLOGY

Image Denoising Using Mean Curvature of Image Surface

(2012) Wei Zhu et al.   SIAM Journal on Imaging Sciences

$L_{1/2}$ Regularization: A Thresholding Representation Theory and a Fast Solver

(2012) Zongben Xu et al.   IEEE Transactions on Neural Networks and Learning Systems

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

(2010) Antonin Chambolle et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

A unified approach to model selection and sparse recovery using regularized least squares

(2009) Jinchi Lv et al.   ANNALS OF STATISTICS

Duality-based algorithms for total-variation-regularized image restoration

(2008) Mingqiang Zhu et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles

(2008) Shahar Mendelson et al.   CONSTRUCTIVE APPROXIMATION

Single-pixel imaging via compressive sampling

(2008) Marco F. Duarte et al.   IEEE SIGNAL PROCESSING MAGAZINE

Diagnostic Performance of Coronary Angiography by 64-Row CT

(2008) Julie M. Miller et al.   NEW ENGLAND JOURNAL OF MEDICINE

A New Alternating Minimization Algorithm for Total Variation Image Reconstruction

(2008) Yilun Wang et al.   SIAM Journal on Imaging Sciences

On sparse reconstruction from Fourier and Gaussian measurements

(2007) Mark Rudelson et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS