Nonlinear Diffusion-Based Image Restoration Models

The nonlinear diffusion-based image denoising and restoration field is addressed in this chapter. The state of the art of this image processing domain is described in the first section. Then, our major contributions in this area are detailed in the following sections. So, the second section describes the anisotropic diffusion models for image restoration based on nonlinear second-order parabolic and hyperbolic partial differential equations, proposed by us. Nonlinear fourth-order PDE-based image noise removal techniques are discussed in the third section of this chapter. The advantages and disadvantages of the second and fourth order PDE denoising model are explained in each section. The last section is devoted to the variational image filtering approaches based on nonlinear control schemes.

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