Image selective smoothing and denoising using modified nonlinear diffusion (MAD) approach

2009 ◽  
Author(s):  
A.R. Upadhyay ◽  
R.K. Choudhary ◽  
S.N. Talbar
Keyword(s):  
Nonlinear Diffusion ◽  
Selective Smoothing

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II

1992 ◽  
Vol 29 (3) ◽  
pp. 845-866 ◽  
Author(s):  
Luis Alvarez ◽  
Pierre-Louis Lions ◽  
Jean-Michel Morel
Keyword(s):  
Edge Detection ◽  
Nonlinear Diffusion ◽  
Selective Smoothing

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

1992 ◽  
Vol 29 (1) ◽  
pp. 182-193 ◽  
Author(s):  
Francine Catté ◽  
Pierre-Louis Lions ◽  
Jean-Michel Morel ◽  
Tomeu Coll
Keyword(s):  
Edge Detection ◽  
Nonlinear Diffusion ◽  
Selective Smoothing

Solitary and Travelling Wave Solutions of Certain Nonlinear Diffusion-Reaction Equations

2020 ◽  
Author(s):  
Miftachul Hadi
Keyword(s):  
Nonlinear Diffusion ◽  
Travelling Wave ◽  
Diffusion Reaction ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Reaction Equations

We review the work of Ranjit Kumar, R S Kaushal, Awadhesh Prasad. The work is still in progress.

Numerical Solution of a Nonlinear Diffusion Model for Soybean Hydration with Moving Boundary

2015 ◽  
Vol 11 (5) ◽  
pp. 587-595 ◽  
Author(s):  
Douglas J. Nicolin ◽  
Gisleine E. C. da Silva ◽  
Regina Maria M. Jorge ◽  
Luiz Mario M. Jorge
Keyword(s):  
Differential Equation ◽  
Diffusion Model ◽  
Nonlinear Diffusion ◽  
Numerical Scheme ◽  
Moving Boundary ◽  
Grid Method ◽  
Variable Diffusivity ◽  
Variable Space ◽  
Diffusive Fluxes ◽  
Moisture Profiles

Abstract Variable diffusivity and volume of the grains are taken into account in the diffusion model that describes mass transfer in soybean hydration. The variable space grid method (VSGM) was used to consider the increase in grain size, and the diffusivity was considered an exponential function of the moisture content. An equation for the behavior of the grain radius as a function of time was obtained by global mass balance over the soybean grain and the differential equation considered that the increase in radius happens due to the influence of the convective and diffusive fluxes at the surface of the grains. The model was solved by an explicit numerical scheme which presented satisfactory results. The results showed the behavior of moisture profiles obtained as a function of time and radial position and also showed how the grain radius increased with time and changed the solution domain of the diffusion equation.

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