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Fourth-order partial differential equations for effective image denoising
- Source :
- Electronic Journal of Differential Equations, Vol 2009, Iss 17, Pp 107-121 (2009)
- Publication Year :
- 2009
- Publisher :
- Texas State University, 2009.
-
Abstract
- This article concerns mathematical image denoising methods incorporating fourth-order partial differential equations (PDEs). We introduce and analyze piecewise planarity conditions (PPCs) with which unconstrained fourth-order variational models in continuum converge to a piecewise planar image. It has been observed that fourth-order variational models holding PPCs can restore better images than models without PPCs and second-order models. Numerical schemes are presented in detail and various examples in image denoising are provided to verify the claim.
Details
- Language :
- English
- ISSN :
- 10726691
- Volume :
- 2009
- Issue :
- 17
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2d30b195a0154e86bd1cfb4b7beb6965
- Document Type :
- article