Fractional order total variation regularization for image super-resolution

Authors:
Zemin Ren;Chuanjiang He;Qifeng Zhang
Affiliations:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China
Venue:
Signal Processing
Year:
2013

Citing 22
Cited 1

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
Image interpolation and resampling

Handbook of medical imaging
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis

SIAM Journal on Numerical Analysis
Global optimal image reconstruction from blurred noisy data by a Bayesian approach

Journal of Optimization Theory and Applications
Example-Based Super-Resolution

IEEE Computer Graphics and Applications
Wavelet Algorithms for High-Resolution Image Reconstruction

SIAM Journal on Scientific Computing
Fractional differentiation for edge detection

Signal Processing - Special issue: Fractional signal processing and applications
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)

Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Staircase effect alleviation by coupling gradient fidelity term

Image and Vision Computing
Fast image/video upsampling

ACM SIGGRAPH Asia 2008 papers
Edge-and-corner preserving regularization for image interpolation and reconstruction

Image and Vision Computing
Image Super-Resolution by TV-Regularization and Bregman Iteration

Journal of Scientific Computing
Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement

IEEE Transactions on Image Processing
Image and video upscaling from local self-examples

ACM Transactions on Graphics (TOG)
Partial Differential Equations for Zooming, Deinterlacing and Dejittering

International Journal of Computer Vision
Image structure preserving denoising using generalized fractional time integrals

Signal Processing
New edge-directed interpolation

IEEE Transactions on Image Processing
Image up-sampling using total-variation regularization with a new observation model

IEEE Transactions on Image Processing
An edge-guided image interpolation algorithm via directional filtering and data fusion

IEEE Transactions on Image Processing
Fractional-Order Anisotropic Diffusion for Image Denoising

IEEE Transactions on Image Processing
A Bayesian approach to image expansion for improved definition

IEEE Transactions on Image Processing
Nonlocal Mumford-Shah Regularizers for Color Image Restoration

IEEE Transactions on Image Processing

A fast adaptive reweighted residual-feedback iterative algorithm for fractional-order total variation regularized multiplicative noise removal of partly-textured images

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

In this paper, we present a fractional order total variation (TV) regularization functional for image super-resolution, the role of which is to better handle the texture details of image. This regularization functional is then incorporated into a variational formulation with an image fidelity term and the usual TV regularization that can efficiently preserve the discontinuities and image structures. The resulting evolution equation is the gradient descent flow that minimizes the overall functional. The proposed model has been applied to eight real images with promising results; unlike the existing TV-based image super-resolution models, the proposed model does not suffer from block artifacts, staircase edges and false edge near the edges.