Abstract
This paper considers a coupled system with a new kind of hyperbolic-parabolic partial differential equations based on image restoration. We show that this system has global dissipative solutions under Dirichlet boundary conditions and initial condition. Meanwhile, an experimental approach is given to show the efficiency of this kind of model.
Highlights
The present paper considers the hyperbolic-parabolic system ∂u – div g(v)∇u =, ( . ) ∂t ∂ v ∂t + ∂v ∂t– λ div(∇v) – ( – λ)|∇u| – v subject to the initial condition and Dirichlet boundary conditions u(x, ) = u (x), v(x, ) = v (x),∂v (x, ) =, x∈
1 Introduction The present paper considers the hyperbolic-parabolic system
– div c(x, y)∇u to describe the contraction and fluctuation of the image create denoising and edge preserving effect. This model is based on viewing the image as an elastic sheet
Summary
Catte et al [ ] first introduced a new modification and proved its well-posedness to make the gradient computation robust outliers and provide a smooth edge map for the diffusion operator. This makes the Perona-Malik type PDE better. – div c(x, y)∇u to describe the contraction and fluctuation of the image create denoising and edge preserving effect This model is based on viewing the image as an elastic sheet. In order to localize denoising effects in the diffusion process based scheme, Nitzberg and Shiota [ ] introduced the following relaxation model:.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
