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A NONLINEAR SECOND-ORDER PARTIAL DIFFERENTIAL EQUATION-BASED ALGORITHM FOR ADDITIVE NOISE REDUCTION.
- Source :
-
Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics . 2018, Vol. 11 Issue 2, p49-56. 8p. - Publication Year :
- 2018
-
Abstract
- An effective nonlinear anisotropic diffusion-based algorithm for image restoration is proposed in this work. The technique considered here employs a novel second-order partial differential equation (PDE) model, composed of a hyperbolic equation and several boundary conditions. Our method provides satisfactory feature-preserving filtering results and overcomes successfully the blurring and staircase effects. It also produces sharper edges because of its hyperbolic equation that is based on a second time derivative. The proposed PDE model is well-posed, admitting a unique and weak solution under certain assumptions, which is computed by using an iterative finite difference-based explicit numerical approximation scheme. Some successful restoration experiments and method comparisons are also described in this paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20652151
- Volume :
- 11
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics
- Publication Type :
- Academic Journal
- Accession number :
- 134172471