Computer Vision, Graphics, and Image Processing
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical analysis: mathematics of scientific computing
Numerical analysis: mathematics of scientific computing
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
Handbook of mathematics (3rd ed.)
Handbook of mathematics (3rd ed.)
Iterative methods for solving linear systems
Iterative methods for solving linear systems
Picture Segmentation by a Tree Traversal Algorithm
Journal of the ACM (JACM)
Vector Median Filters, Inf-Sup Operations, and Coupled PDE's: Theoretical Connections
Journal of Mathematical Imaging and Vision
Color image processing and applications
Color image processing and applications
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
Contour and Texture Analysis for Image Segmentation
International Journal of Computer Vision
Variational Restoration and Edge Detection for Color Images
Journal of Mathematical Imaging and Vision
Adaptive vector median filtering
Pattern Recognition Letters
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Efficient Graph-Based Image Segmentation
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Second-order Cone Programming Methods for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms for Image Restoration
SIAM Journal on Scientific Computing
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's
International Journal of Computer Vision
Fast detection and impulsive noise removal in color images
Real-Time Imaging - Special issue on multi-dimensional image processing
Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization
Journal of Mathematical Imaging and Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Generalized selection weighted vector filters
EURASIP Journal on Applied Signal Processing
Regularization on discrete spaces
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Image smoothing and segmentation by graph regularization
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Directional processing of color images: theory and experimental results
IEEE Transactions on Image Processing
Anisotropic diffusion of multivalued images with applications to color filtering
IEEE Transactions on Image Processing
Color TV: total variation methods for restoration of vector-valued images
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Regions adjacency graph applied to color image segmentation
IEEE Transactions on Image Processing
The digital TV filter and nonlinear denoising
IEEE Transactions on Image Processing
Color image enhancement via chromaticity diffusion
IEEE Transactions on Image Processing
An adaptive level set method for nondifferentiable constrained image recovery
IEEE Transactions on Image Processing
Multiscale gradient watersheds of color images
IEEE Transactions on Image Processing
A robust structure-adaptive hybrid vector filter for color image restoration
IEEE Transactions on Image Processing
General choice of the regularization functional in regularized image restoration
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Local and Nonlocal Discrete Regularization on Weighted Graphs for Image and Mesh Processing
International Journal of Computer Vision
Exemplar-Based Interpolation of Sparsely Sampled Images
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Fuzzy peer groups for reducing mixed Gaussian-impulse noise from color images
IEEE Transactions on Image Processing
Geometric features-based filtering for suppression of impulse noise in color images
IEEE Transactions on Image Processing
Three-dimensional imaging information acquisition system based on DSP and SVM
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Partial differences as tools for filtering data on graphs
Pattern Recognition Letters
Nonlocal multiscale hierarchical decomposition on graphs
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
A Variational Framework for Exemplar-Based Image Inpainting
International Journal of Computer Vision
Edge-preserving color image denoising through tensor voting
Computer Vision and Image Understanding
Parameterless discrete regularization on graphs for color image filtering
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
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Nowadays color image processing is an essential issue in computer vision. Variational formulations provide a framework for color image restoration, smoothing and segmentation problems. The solutions of variational models can be obtained by minimizing appropriate energy functions and this minimization is usually performed by continuous partial differential equations (PDEs). The problem is usually considered as a regularization matter which minimizes a smoothness plus a regularization term. In this paper, we propose a general discrete regularization framework defined on weighted graphs of arbitrary topologies which can be seen as a discrete analogue of classical regularization theory. The smoothness term of the regularization uses a discrete definition of the p-Laplace operator. With this formulation, we propose a family of fast and simple anisotropic linear and nonlinear filters which do not involve PDEs. The proposed approach can be useful to process color images for restoration, denoising and segmentation purposes.