Stochastic Differential Equations based on Perona-Malik Functions for Image Denoising
Keywords:
Stochastic Differential Equations, Analysis and Well-Posedness, Numerical Methods, Image Processing.Abstract
The aim of this work is to propose models based on stochastic differential equations with a good choice for both diffusion and drift terms to solve an image restoration problem. These proposed models are based on Barbu and Borkowski stochastic equations, where we exploit the Perona-Malik functions for the drift and diffusion terms. First, we show the derived model’s well posedness; then we present the related numerical results. These models give satisfactory experimental results in removing noise, improving and preserving the image structure compare to other well known approaches, such as [1], [2] and [4].
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