scholarly journals Nonlinear diffusion models of detection

2008 ◽  
Vol 9 (S1) ◽  
Author(s):  
Daniel Martí ◽  
Anders Ledberg ◽  
Gustavo Deco
2019 ◽  
Vol 390 ◽  
pp. 84-88 ◽  
Author(s):  
Sébastien Galtier ◽  
Sergey V. Nazarenko ◽  
Éric Buchlin ◽  
Simon Thalabard

2019 ◽  
Vol 150 (5) ◽  
pp. 2322-2348
Author(s):  
Qi Wang ◽  
Jingyue Yang ◽  
Feng Yu

AbstractThis paper investigates the global well-posedness of a class of reaction–advection–diffusion models with nonlinear diffusion and Lotka–Volterra dynamics. We prove the existence and uniform boundedness of the global-in-time solutions to the fully parabolic systems under certain growth conditions on the diffusion and sensitivity functions. Global existence and uniform boundedness of the corresponding parabolic–elliptic system are also obtained. Our results suggest that attraction (positive taxis) inhibits blowups in Lotka–Volterra competition systems.


2012 ◽  
Vol 627 ◽  
pp. 484-488
Author(s):  
Da Li Chen ◽  
Ding Yu Xue ◽  
Yang Quan Chen

In this paper, five nonlinear diffusion models for fabric image denoising are introduced. The advantages and drawbacks of these five models are described through describing their implementation methods. Quantitative and perceptual comparison experiments are given to verify the performance of these methods. Finally some valuable conclusions about denoising performance of these five models are present which is helpful for choosing and using these models in fabric image denoising.


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