Fractional partial differential equation: fractional total variation and fractional steepest descent approach-based multiscale denoising model for texture image
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Publication:2015586
DOI10.1155/2013/483791zbMath1381.35231OpenAlexW2037580505WikidataQ58916400 ScholiaQ58916400MaRDI QIDQ2015586
Patrick Siarry, Jiliu Zhou, Ni Zhang, Yiguang Liu, Yi-Fei Pu
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/483791
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fractional partial differential equations (35R11) PDEs in connection with information and communication (35Q94)
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Fractional-order total variation image denoising based on proximity algorithm, Symmetrized fractional total variation for signal and image analysis, Boundary value problem for linear and nonlinear fractional differential equations, Truncated fractional-order total variation model for image restoration
Cites Work
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- Nonlinear total variation based noise removal algorithms
- A new IIR-type digital fractional order differentiator
- Fractional differentiation for edge detection
- Fractional vector calculus and fractional Maxwell's equations
- The calculus of variations and optimal control. An introduction
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Image recovery via total variation minimization and related problems
- A variational approach to remove outliers and impulse noise
- Fractional calculus via functional calculus: Theory and applications
- A suggestion of fractional-order controller for flexible spacecraft attitude control
- Selection of optimal stopping time for nonlinear diffusion filtering
- Fractional calculus operators and their applications involving power functions and summation of series
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- Image restoration with discrete constrained total variation. II: Levelable functions, convex priors and non-convex cases
- Image restoration with discrete constrained total variation. I: Fast and exact optimization
- Iterative image restoration combining total variation minimization and a second-order functional
- Fourth-order partial differential equations for noise removal
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Noise Removal Using Smoothed Normals and Surface Fitting
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Estimation of 1/f noise
- Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement
- Image Decomposition and Restoration Using Total Variation Minimization and theH1
- Pseudospectra of semiclassical (pseudo-) differential operators
- Edge-preserving and scale-dependent properties of total variation regularization
- On fractional calculus and fractional multipoles in electromagnetism
- High-Order Total Variation-Based Image Restoration
- Decomposition of images by the anisotropic Rudin-Osher-Fatemi model
- Minimizers of Cost-Functions Involving Nonsmooth Data-Fidelity Terms. Application to the Processing of Outliers
- Derivatives of Noninteger Order
- Iterative Methods for Total Variation Denoising
- Fractional Splines and Wavelets
- Advances in Fractional Calculus
- Aspects of Total Variation RegularizedL1Function Approximation
- Multiresolution Bilateral Filtering for Image Denoising
- Image Denoising Using Trivariate Shrinkage Filter in the Wavelet Domain and Joint Bilateral Filter in the Spatial Domain
- Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
- A novel approach for multi-scale texture segmentation based on fractional differential
- Combinatorial Image Analysis
- Scale Recognition, Regularization Parameter Selection, and Meyer's G Norm in Total Variation Regularization
- Fractional Derivatives of Imaginary Order
- An Iterative Regularization Method for Total Variation-Based Image Restoration
- A Review of Image Denoising Algorithms, with a New One
- Scale Space and PDE Methods in Computer Vision