Abstract
The aim of this chapter is to describe the linear diffusion-based image filtering domain. The diffusion process theory and the existing linear partial differential equation (PDE)—based denoising techniques are discussed in the first section. Then, our main contributions to this image processing field are described in the following sections. Thus, an effective digital image restoration approach using a hyperbolic second-order differential model, is detailed in the second section. Another linear dynamic partial differential equation-based scheme for image smoothing is described in the third section. The last section of this chapter presents a stochastic differential equation (SDE)—based restoration model leading to a linear diffusion approach.
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Barbu, T. (2019). Linear PDE-Based Image Denoising Schemes. In: Novel Diffusion-Based Models for Image Restoration and Interpolation. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-93006-0_2
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DOI: https://doi.org/10.1007/978-3-319-93006-0_2
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