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A New Nonlocal Nonlinear Diffusion Equation for Data Analysis.
- Source :
-
Acta Applicandae Mathematicae . Aug2020, Vol. 168 Issue 1, p109-135. 27p. - Publication Year :
- 2020
-
Abstract
- In this paper we introduce and study a new feature-preserving nonlinear nonlocal diffusion equation for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically detected parameter related to the local bounded variation and the local oscillating pattern of the noisy input signal. We provide a mathematical analysis of the existence of the solution in the two dimensional case, but easily extensible to the one-dimensional model. Finally, we show some numerical experiments, which demonstrate the effectiveness of the new approach. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 168
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 144801094
- Full Text :
- https://doi.org/10.1007/s10440-019-00281-1