Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A multiscale algorithm for image segmentation by variational method
SIAM Journal on Numerical Analysis
Minimax entropy principle and its application to texture modeling
Neural Computation
A Variational Method in Image Recovery
SIAM Journal on Numerical Analysis
Computer Vision and Image Understanding
Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling
International Journal of Computer Vision
Affine Invariant Texture Segmentation and Shape from Texture by Variational Methods
Journal of Mathematical Imaging and Vision
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Stochastic models for generic images
Quarterly of Applied Mathematics
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation
International Journal of Computer Vision
Signal Processing - Image and Video Coding beyond Standards
Boundary Detection in Piecewise Homogeneous Textured Images
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Texture Segmentation by Minimizing Vector-Valued Energy Functionals: The Coupled-Membrane Model
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
An Algorithm for Total Variation Minimization and Applications
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
IEEE Transactions on Image Processing
Simultaneous structure and texture image inpainting
IEEE Transactions on Image Processing
Adapted Total Variation for Artifact Free Decompression of JPEG Images
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
Variational Image Restoration and Decomposition with Curvelet Shrinkage
Journal of Mathematical Imaging and Vision
Shock filter coupled to curvature diffusion for image denoising and sharpening
Image and Vision Computing
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
(Φ,Φ*) Image Decomposition Models and Minimization Algorithms
Journal of Mathematical Imaging and Vision
Mumford-Shah regularizer with contextual feedback
Journal of Mathematical Imaging and Vision
Weighted and extended total variation for image restoration and decomposition
Pattern Recognition
Nonstandard diffusion in image restoration and decomposition
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Fast cartoon + texture image filters
IEEE Transactions on Image Processing
Computer Methods and Programs in Biomedicine
Segmenting and indexing old documents using a letter extraction
GREC'09 Proceedings of the 8th international conference on Graphics recognition: achievements, challenges, and evolution
Image denoising based on hierarchical Markov random field
Pattern Recognition Letters
Proximal Algorithms for Multicomponent Image Recovery Problems
Journal of Mathematical Imaging and Vision
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
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
Shock coupled fourth-order diffusion for image enhancement
Computers and Electrical Engineering
Multiscale Texture Extraction with Hierarchical (BV,Gp,L2) Decomposition
Journal of Mathematical Imaging and Vision
A full second order variational model for multiscale texture analysis
Computational Optimization and Applications
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In this paper, we propose a new variational model for image denoising and decomposition, witch combines the total variation minimization model of Rudin, Osher and Fatemi from image restoration, with spaces of oscillatory functions, following recent ideas introduced by Meyer. The spaces introduced here are appropriate to model oscillatory patterns of zero mean, such as noise or texture. Numerical results of image denoising, image decomposition and texture discrimination are presented, showing that the new models decompose better a given image, possible noisy, into cartoon and oscillatory pattern of zero mean, than the standard ones. The present paper develops further the models previously introduced by the authors in Vese and Osher (Modeling textures with total variation minimization and oscillating patterns in image processing, UCLA CAM Report 02-19, May 2002, to appear in Journal of Scientific Computing, 2003). Other recent and related image decomposition models are also discussed.