Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions
Journal of Mathematical Imaging and Vision
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dual Norms and Image Decomposition Models
International Journal of Computer Vision
Image Decomposition into a Bounded Variation Component and an Oscillating Component
Journal of Mathematical Imaging and Vision
Taut-String Algorithm and Regularization Programs with G-Norm Data Fit
Journal of Mathematical Imaging and Vision
Structure-Texture Image Decomposition--Modeling, Algorithms, and Parameter Selection
International Journal of Computer Vision
Total Variation Wavelet Inpainting
Journal of Mathematical Imaging and Vision
Constrained and SNR-Based Solutions for TV-Hilbert Space Image Denoising
Journal of Mathematical Imaging and Vision
Iterative Total Variation Regularization with Non-Quadratic Fidelity
Journal of Mathematical Imaging and Vision
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization
Journal of Mathematical Imaging and Vision
From two-dimensional nonlinear diffusion to coupled Haar wavelet shrinkage
Journal of Visual Communication and Image Representation
A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
Fast Global Minimization of the Active Contour/Snake Model
Journal of Mathematical Imaging and Vision
Noisy Image Decomposition: A New Structure, Texture and Noise Model Based on Local Adaptivity
Journal of Mathematical Imaging and Vision
Image decomposition combining staircase reduction and texture extraction
Journal of Visual Communication and Image Representation
The Perona---Malik Method as an Edge Pruning Algorithm
Journal of Mathematical Imaging and Vision
Variational Image Restoration and Decomposition with Curvelet Shrinkage
Journal of Mathematical Imaging and Vision
Nonlocal Image and Movie Denoising
International Journal of Computer Vision
Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation
International Journal of Computer Vision
Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale
Journal of Scientific Computing
Convergence of Fixed Point Iteration for Modified Restoration Problems
Journal of Mathematical Imaging and Vision
Variational Decomposition Model in Besov Spaces and Negative Hilbert-Sobolev Spaces
Computational Intelligence and Security
Convex Hodge Decomposition of Image Flows
Proceedings of the 30th DAGM symposium on Pattern Recognition
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Manifold models for signals and images
Computer Vision and Image Understanding
Convex Hodge Decomposition and Regularization of Image Flows
Journal of Mathematical Imaging and Vision
(Φ,Φ*) Image Decomposition Models and Minimization Algorithms
Journal of Mathematical Imaging and Vision
Image Decomposition Based on Curvelet and Wave Atom
ISICA '08 Proceedings of the 3rd International Symposium on Advances in Computation and Intelligence
Wavelet leaders and bootstrap for multifractal analysis of images
Signal Processing
Detection of Retinal Blood Vessels Based on Nonlinear Projections
Journal of Signal Processing Systems
Variational denoising of partly textured images
Journal of Visual Communication and Image Representation
Compositional noisy-logical learning
ICML '09 Proceedings of the 26th Annual International Conference on Machine Learning
Some First-Order Algorithms for Total Variation Based Image Restoration
Journal of Mathematical Imaging and Vision
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Convex Multi-class Image Labeling by Simplex-Constrained Total Variation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Projected Gradient Based Color Image Decomposition
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Nonlocal Variational Image Deblurring Models in the Presence of Gaussian or Impulse Noise
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
On the Rate of Structural Change in Scale Spaces
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
On a Decomposition Model for Optical Flow
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Locally Parallel Textures Modeling with Adapted Hilbert Spaces
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Decorrelating the structure and texture components of a variational decomposition model
IEEE Transactions on Image Processing
SAR image regularization with fast approximate discrete minimization
IEEE Transactions on Image Processing
Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution
IEEE Transactions on Image Processing
From Local Kernel to Nonlocal Multiple-Model Image Denoising
International Journal of Computer Vision
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
Infinite Photography: New Mathematical Model for High-Resolution Images
Journal of Mathematical Imaging and Vision
Image decomposition application to SAR images
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A nonconvex model to remove multiplicative noise
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Uniform and textured regions separation in natural images towards MPM adaptive denoising
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Identification of grain boundary contours at atomic scale
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Image inpainting by cooling and heating
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
On the total variation dictionary model
IEEE Transactions on Image Processing
Nonstandard diffusion in image restoration and decomposition
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Null space pursuit: an operator-based approach to adaptive signal separation
IEEE Transactions on Signal Processing
Journal of Mathematical Imaging and Vision
Fast cartoon + texture image filters
IEEE Transactions on Image Processing
Segmenting and indexing old documents using a letter extraction
GREC'09 Proceedings of the 8th international conference on Graphics recognition: achievements, challenges, and evolution
Nonlocal multiscale hierarchical decomposition on graphs
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
IEEE Transactions on Image Processing
Simulation of a hybrid model for image denoising
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
SIAM Journal on Scientific Computing
Improved Total Variation-Type Regularization Using Higher Order Edge Detectors
SIAM Journal on Imaging Sciences
Learning the Morphological Diversity
SIAM Journal on Imaging Sciences
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
International Journal of Computer Vision
Littlewood Paley spline wavelets
WAMUS'06 Proceedings of the 6th WSEAS international conference on Wavelet analysis & multirate systems
Image denoising with a constrained discrete total variation scale space
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Proximal Algorithms for Multicomponent Image Recovery Problems
Journal of Mathematical Imaging and Vision
A parameter study of a hybrid Laplacian mean-curvature flow denoising model
The Journal of Supercomputing
A primal-dual gradient method for image decomposition based on (BV, H-1)
Multidimensional Systems and Signal Processing
EM-type algorithms for image reconstruction with background emission and Poisson noise
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Intrinsic nonlinear multiscale image decomposition: A 2D empirical mode decomposition-like tool
Computer Vision and Image Understanding
Image decomposition via learning the morphological diversity
Pattern Recognition Letters
Deblurring of One Dimensional Bar Codes via Total Variation Energy Minimization
SIAM Journal on Imaging Sciences
An Upwind Finite-Difference Method for Total Variation-Based Image Smoothing
SIAM Journal on Imaging Sciences
Integro-Differential Equations Based on $(BV, L^1)$ Image Decomposition
SIAM Journal on Imaging Sciences
Locally Parallel Texture Modeling
SIAM Journal on Imaging Sciences
From tensor-driven diffusion to anisotropic wavelet shrinkage
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Exact optimization of discrete constrained total variation minimization problems
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Geometry of total variation regularized Lp-model
Journal of Computational and Applied Mathematics
Augmented Lagrangian Method for Generalized TV-Stokes Model
Journal of Scientific Computing
An adaptive variational model for image decomposition
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Constrained total variation minimization and application in computerized tomography
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Estimation of the optimal variational parameter via SNR analysis
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Relations between higher order TV regularization and support vector regression
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Wavelet-Based De-noising of Positron Emission Tomography Scans
Journal of Scientific Computing
A study of non-smooth convex flow decomposition
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Structure-Texture decomposition by a TV-Gabor model
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Combined geometric-texture image classification
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
A new coarse-to-fine framework for 3d brain MR image registration
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
A study on convex optimization approaches to image fusion
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Image separation using wavelets and shearlets
Proceedings of the 7th international conference on Curves and Surfaces
Adaptive Fractional-order Multi-scale Method for Image Denoising
Journal of Mathematical Imaging and Vision
A Nonlocal Version of the Osher-Solé-Vese Model
Journal of Mathematical Imaging and Vision
Dual Norm Based Iterative Methods for Image Restoration
Journal of Mathematical Imaging and Vision
Image Denoising Using Mean Curvature of Image Surface
SIAM Journal on Imaging Sciences
Denoising 3d medical images using a second order variational model and wavelet shrinkage
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part II
Structure extraction from texture via relative total variation
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Geometrical and textural component separation with adaptive scale selection
MUSCLE'11 Proceedings of the 2011 international conference on Computational Intelligence for Multimedia Understanding
Multiscale Texture Extraction with Hierarchical (BV,Gp,L2) Decomposition
Journal of Mathematical Imaging and Vision
Nonlinear Multilayered Representation of Graph-Signals
Journal of Mathematical Imaging and Vision
X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting
Journal of Scientific Computing
An Efficient Algorithm for l0 Minimization in Wavelet Frame Based Image Restoration
Journal of Scientific Computing
Higher-Order TV Methods--Enhancement via Bregman Iteration
Journal of Scientific Computing
Sparse Adaptive Parameterization of Variability in Image Ensembles
International Journal of Computer Vision
A full second order variational model for multiscale texture analysis
Computational Optimization and Applications
A class of quasi-variational inequalities for adaptive image denoising and decomposition
Computational Optimization and Applications
Spectral Image Segmentation Using Image Decomposition and Inner Product-Based Metric
Journal of Mathematical Imaging and Vision
Ancient documents denoising and decomposition using aujol and chambolle algorithm
GREC'11 Proceedings of the 9th international conference on Graphics Recognition: new trends and challenges
Variational structure-texture image decomposition on manifolds
Signal Processing
Structure-preserving image smoothing via region covariances
ACM Transactions on Graphics (TOG)
A New Nonlocal H1 Model for Image Denoising
Journal of Mathematical Imaging and Vision
Pattern Recognition Letters
Hybrid regularization image deblurring in the presence of impulsive noise
Journal of Visual Communication and Image Representation
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis
Journal of Mathematical Imaging and Vision
A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization
Journal of Mathematical Imaging and Vision
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From the Publisher:"Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of "oscillating patterns", which are present in many natural images, help to explain nonlinear equations. and are pivotal in studying chirps and frequency-modulated signals." "In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities." This book can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature.