This paper deals with the problem of image deblurring. A suitable discretization scheme for a particular nonlinear time-dependent partial differential equation of parabolic type is experimented. The method is implemented by reversing the arrow of time in order to damp diffusion. Only one step is enough to reconstruct the edges of a corrupted picture affected by average blur. Thus, the procedure turns out to be extremely efficient.
An anisotropic diffusion algorithm for image deblurring / Funaro, Daniele; Fatone, Lorella. - 3094:1(2024), p. 370004. (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022 tenutosi a Heraklion, Greece nel 19–25 September 2022) [10.1063/5.0210637].
An anisotropic diffusion algorithm for image deblurring
Daniele Funaro;
2024
Abstract
This paper deals with the problem of image deblurring. A suitable discretization scheme for a particular nonlinear time-dependent partial differential equation of parabolic type is experimented. The method is implemented by reversing the arrow of time in order to damp diffusion. Only one step is enough to reconstruct the edges of a corrupted picture affected by average blur. Thus, the procedure turns out to be extremely efficient.
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