Finite Difference Schemes For Image Edge Enhancement Models
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Date
2022-06-10
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University of m'sila
Abstract
Smoothing of noisy images presents usually a numerical integration of a parabolic
PDE in scale or two dimensions in space. This often the most time consumptive
component of image processing algorithms.
The explicit numerical integration scheme is conditionally stable. Thus, the unconditionally stable numerical scheme becomes an important matter.
The method based on Additive Operator Split (AOS), applied originally by Weickert for the nonlinear diffusion flow, may be applied for the Beltrami equation.
This method makes it possible to develop the unconditionally stable semi-implicit
finite difference schemes for image filtering.
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Keywords
Image Processing , Edge Enhancement , Nonlinear Diffusion, Finite Difference , Perona-Malik Diffusion , Beltrami Flow.