scholarly journals A multiscale fourth-order model for the image inpainting and low-dimensional sets recovery

2016 ◽  
Vol 40 (10) ◽  
pp. 3637-3650 ◽  
Author(s):  
Anis Theljani ◽  
Zakaria Belhachmi ◽  
Moez Kallel ◽  
Maher Moakher
Keyword(s):  
Fourth Order ◽  
Image Inpainting ◽  
Order Model ◽  
Fourth Order Model ◽  
Low Dimensional

scholarly journals Image denoising using anisotropic second and fourth order diffusions based on gradient vector convolution

2012 ◽  
Vol 9 (4) ◽  
pp. 1493-1511 ◽  
Author(s):  
Huaibin Wang ◽  
Yuanquan Wang ◽  
Wenqi Ren
Keyword(s):  
Image Denoising ◽  
Fourth Order ◽  
Numerical Stability ◽  
Anisotropic Diffusion ◽  
Computational Cost ◽  
Gradient Vector ◽  
Order Model ◽  
Robustness To Noise ◽  
Fourth Order Model ◽  
Low Computational Cost

In this paper, novel second order and fourth order diffusion models are proposed for image denoising. Both models are based on the gradient vector convolution (GVC) model. The second model is coined by incorporating the GVC model into the anisotropic diffusion model and the fourth order one is by introducing the GVC to the You-Kaveh fourth order model. Since the GVC model can be implemented in real time using the FFT and possesses high robustness to noise, both proposed models have many advantages over traditional ones, such as low computational cost, high numerical stability and remarkable denoising effect. Moreover, the proposed fourth order model is an anisotropic filter, so it can obviously improve the ability of edge and texture preserving except for further improvement of denoising. Some experiments are presented to demonstrate the effectiveness of the proposed models.

scholarly journals Sliding Mode Control of Chaos in a Single Machine Connected to an Infinite Bus Power System

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Muthana T. Alrifai ◽  
Mohamed Zribi
Keyword(s):  
Power System ◽  
Fourth Order ◽  
Feedback Linearization ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Order Model ◽  
Control Of Chaos ◽  
System A ◽  
Control Schemes ◽  
Fourth Order Model

This paper deals with the control of chaos in a power system. A fourth-order model is adopted for the power system. Three controllers are proposed to suppress the chaos and avoid voltage collapse. The controllers are a feedback linearization controller, a conventional sliding mode controller, and a second-order super-twisting sliding mode controller. It is shown that the proposed controllers guarantee the convergence of the states of the system to their desired values. Simulations studies are presented to show the effectiveness of the proposed control schemes.

scholarly journals A fourth-order model for MEMS with clamped boundary conditions

2014 ◽  
Vol 109 (6) ◽  
pp. 1435-1464 ◽  
Author(s):  
Philippe Laurençot ◽  
Christoph Walker
Keyword(s):  
Boundary Conditions ◽  
Fourth Order ◽  
Order Model ◽  
Fourth Order Model
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