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
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
Structure-Texture Image Decomposition--Modeling, Algorithms, and Parameter Selection
International Journal of Computer Vision
Total Variation Models for Variable Lighting Face Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
Method of optimal directions for frame design
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 05
Decorrelating the structure and texture components of a variational decomposition model
IEEE Transactions on Image Processing
Double sparsity: learning sparse dictionaries for sparse signal approximation
IEEE Transactions on Signal Processing
Fast cartoon + texture image filters
IEEE Transactions on Image Processing
Learning the Morphological Diversity
SIAM Journal on Imaging Sciences
-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
IEEE Transactions on Signal Processing
Image decomposition via the combination of sparse representations and a variational approach
IEEE Transactions on Image Processing
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
IEEE Transactions on Image Processing
Sparsity and Morphological Diversity in Blind Source Separation
IEEE Transactions on Image Processing
Sparse Representation for Color Image Restoration
IEEE Transactions on Image Processing
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Image decomposition aims to separate different features in images. Based on dictionary learning (DL) techniques, this letter discusses two new algorithms for image decomposing into a linear combination of morphological components. The proposed algorithms can be viewed as the extensions of DL-based image denoising algorithm. Experiments show that the learned dictionaries by the proposed algorithms can describe the different components of image effectively and leads to high quality image decomposition performance.