BM3D Frames and Variational Image Deblurring
| Autor: | Karen Egiazarian, Vladimir Katkovnik, Aram Danielyan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Deblurring
Models Statistical Matching (graph theory) Computer science ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Reproducibility of Results Signal Processing Computer-Assisted Function (mathematics) Image Enhancement Computer Graphics and Computer-Aided Design Sensitivity and Specificity Image (mathematics) Pattern Recognition Automated Imaging Three-Dimensional Optimization and Control (math.OC) Computer Science::Computer Vision and Pattern Recognition Image Interpretation Computer-Assisted FOS: Mathematics Computer Simulation Artifacts Algorithm Mathematics - Optimization and Control Software Algorithms Block (data storage) |
| Popis: | A family of the Block Matching 3-D (BM3D) algorithms for various imaging problems has been recently proposed within the framework of nonlocal patch-wise image modeling [1], [2]. In this paper we construct analysis and synthesis frames, formalizing the BM3D image modeling and use these frames to develop novel iterative deblurring algorithms. We consider two different formulations of the deblurring problem: one given by minimization of the single objective function and another based on the Nash equilibrium balance of two objective functions. The latter results in an algorithm where the denoising and deblurring operations are decoupled. The convergence of the developed algorithms is proved. Simulation experiments show that the decoupled algorithm derived from the Nash equilibrium formulation demonstrates the best numerical and visual results and shows superiority with respect to the state of the art in the field, confirming a valuable potential of BM3D-frames as an advanced image modeling tool. Submitted to IEEE Transactions on Image Processing on May 18, 2011. implementation of the proposed algorithm is available as part of the BM3D package at http://www.cs.tut.fi/~foi/GCF-BM3D |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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