Image Sequence Analysis via Partial Differential Equations
Journal of Mathematical Imaging and Vision
A Variational Model for Image Classification and Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Level Set Model for Image Classification
International Journal of Computer Vision
A half-quadratic block-coordinate descent method for spectral estimation
Signal Processing
Hyperparameter Estimation for Satellite Image Restoration by a MCMCML Method
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
An Active Contour Model without Edges
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
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
Variational Image Binarization and its Multi-Scale Realizations
Journal of Mathematical Imaging and Vision
A New Diffusion-Based Variational Model for Image Denoising and Segmentation
Journal of Mathematical Imaging and Vision
Geometric Analysis of Particle Motion in a Vector Image Field
Journal of Mathematical Imaging and Vision
A nonlinear entropic variational model for image filtering
EURASIP Journal on Applied Signal Processing
Acceleration methods for image restoration problem with different boundary conditions
Applied Numerical Mathematics
Pattern Recognition Letters
Staircase effect alleviation by coupling gradient fidelity term
Image and Vision Computing
An adaptive window mechanism for image smoothing
Computer Vision and Image Understanding
Level Learning Set: A Novel Classifier Based on Active Contour Models
ECML '07 Proceedings of the 18th European conference on Machine Learning
(Φ,Φ*) Image Decomposition Models and Minimization Algorithms
Journal of Mathematical Imaging and Vision
Image Processing by Topological Asymptotic Expansion
Journal of Mathematical Imaging and Vision
An anisotropic mesh adaptation method for the finite element solution of variational problems
Finite Elements in Analysis and Design
Segmentation on surfaces with the closest point method
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Fast cartoon + texture image filters
IEEE Transactions on Image Processing
Pattern Recognition and Image Analysis
Multivariate numerical differentiation
Journal of Computational and Applied Mathematics
Integro-Differential Equations Based on $(BV, L^1)$ Image Decomposition
SIAM Journal on Imaging Sciences
An active contour model guided by LBP distributions
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Homotopy method for a mean curvature-based denoising model
Applied Numerical Mathematics
PCM'04 Proceedings of the 5th Pacific Rim Conference on Advances in Multimedia Information Processing - Volume Part II
Image Denoising Using Mean Curvature of Image Surface
SIAM Journal on Imaging Sciences
Shock coupled fourth-order diffusion for image enhancement
Computers and Electrical Engineering
Efficient non-linear filter for impulse noise removal in document images
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Computers & Mathematics with Applications
| Hi-index | 0.01 |
This paper is concerned with a classical denoising and deblurring problem in image recovery. Our approach is based on a variational method. By using the Legendre--Fenchel transform, we show how the nonquadratic criterion to be minimized can be split into a sequence of half-quadratic problems easier to solve numerically. First we prove an existence and uniqueness result, and then we describe the algorithm for computing the solution and we give a proof of convergence. Finally, we present some experimental results for synthetic and real images.