Image Sequence Analysis via Partial Differential Equations
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
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
Geometry and Color in Natural Images
Journal of Mathematical Imaging and Vision
Orthonormal Vector Sets Regularization with PDE's and Applications
International Journal of Computer Vision
Two Variational Models for Multispectral Image Classification
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Line Integral Convolution for Visualization of Fiber Tract Maps from DTI
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Geometry Motivated Variational Segmentation for Color Images
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
On the Coupled Forward and Backward Anisotropic Diffusion Scheme for Color Image Enhancement
CIVR '02 Proceedings of the International Conference on Image and Video Retrieval
Combined Forward and Backward Anisotropic Diffusion Filtering of Color Images
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Efficient Modification of the Central Weighted Vector Median Filter
Proceedings of the 24th DAGM Symposium on Pattern Recognition
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Isotropic Energies, Filters and Splines for Vector Field Regularization
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
Adapted Total Variation for Artifact Free Decompression of JPEG Images
Journal of Mathematical Imaging and Vision
Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
A New Diffusion-Based Variational Model for Image Denoising and Segmentation
Journal of Mathematical Imaging and Vision
Graph regularization for color image processing
Computer Vision and Image Understanding
Graph spectral image smoothing using the heat kernel
Pattern Recognition
Color Photo Denoising Via Hue, Saturation and Intensity Diffusion
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Bayesian Motion Recovery Framework for Myocardial Phase-Contrast Velocity MRI
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Regularizing Flows over Lie Groups
Journal of Mathematical Imaging and Vision
Scale Selection for Compact Scale-Space Representation of Vector-Valued Images
International Journal of 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
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
A Superresolution Framework for High-Accuracy Multiview Reconstruction
Proceedings of the 31st DAGM Symposium on Pattern Recognition
HARDI Denoising: Variational Regularization of the Spherical Apparent Diffusion Coefficient sADC
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Color Image Restoration Using Nonlocal Mumford-Shah Regularizers
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Quaternion-Based Color Image Smoothing Using a Spatially Varying Kernel
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Fast GL(n)-Invariant Framework for Tensors Regularization
International Journal of Computer Vision
Fuzzy peer groups for reducing mixed Gaussian-impulse noise from color images
IEEE Transactions on Image Processing
Video dejittering by bake and shake
Image and Vision Computing
New Riemannian techniques for directional and tensorial image data
Pattern Recognition
Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces
Journal of Mathematical Imaging and Vision
Coordinate-free diffusion over compact Lie-groups
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Riemannian curvature-driven flows for tensor-valued data
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A generalized vector-valued total variation algorithm
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Journal of Mathematical Imaging and Vision
On high-order denoising models and fast algorithms for vector-valued images
IEEE Transactions on Image Processing
Adaptive Variational Method for Restoring Color Images with High Density Impulse Noise
International Journal of Computer Vision
Differential geometry based solvation model I: Eulerian formulation
Journal of Computational Physics
A multiscale model for virus capsid dynamics
Journal of Biomedical Imaging - Special issue on mathematical methods for images and surfaces
Total Variation for Image Restoration with Smooth Area Protection
Journal of Signal Processing Systems
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Simulation of a hybrid model for image denoising
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
Local MAP estimation for quality improvement of compressed color images
Pattern Recognition
A Quaternion Framework for Color Image Smoothing and Segmentation
International Journal of Computer Vision
Application of the Topological Gradient Method to Color Image Restoration
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
A Multi-Scale Vectorial Lτ-TV Framework for Color Image Restoration
International Journal of Computer Vision
Vector-valued image regularization with PDE's: a common framework for different applications
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A parameter study of a hybrid Laplacian mean-curvature flow denoising model
The Journal of Supercomputing
A framework for intrinsic image processing on surfaces
Computer Vision and Image Understanding
Smoothing tensor-valued images using anisotropic geodesic diffusion
SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
A vectorial self-dual morphological filter based on total variation minimization
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Journal of Scientific Computing
Denoising tensors via lie group flows
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Color image deblurring with impulsive noise
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1
Journal of Visual Communication and Image Representation
Variational multiframe restoration of images degraded by noisy (stochastic) blur kernels
Journal of Computational and Applied Mathematics
Journal of Visual Communication and Image Representation
Uzawa block relaxation methods for color image restoration
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
Polyakov action minimization for efficient color image processing
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
A fixed-point augmented Lagrangian method for total variation minimization problems
Journal of Visual Communication and Image Representation
Total variation regularization algorithms for images corrupted with different noise models: a review
Journal of Electrical and Computer Engineering
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We propose a new definition of the total variation (TV) norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of (1) not penalizing discontinuities (edges) in the image, (2) being rotationally invariant in the image space, and (3) reducing to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in red-green-blue (RGB) color space are presented