Publication detail

Using Partial Differential Equations to Filter Images with High Noise Levels

SLIŽ, J.

Original Title

Using Partial Differential Equations to Filter Images with High Noise Levels

English Title

Using Partial Differential Equations to Filter Images with High Noise Levels

Type

conference paper

Language

en

Original Abstract

The paper discusses image noise suppression methods based on the solution of partial differential equations. The individual techniques are applied to a set of test images and then compared with respect to the obtained noise suppression levels. One of the presented procedures is image denoising via the heat conduction formula, which constitutes an equivalent of the Gaussian filter. Further, a bilateral filter is derived; this approach better preserves the edges of objects within the examined image. The last technique analyzed is anisotropic diffusion (Perona-Malik). Importantly, the signal-to-noise ratio values obtained with these different filtering methods are compared in the final section of the article.

English abstract

The paper discusses image noise suppression methods based on the solution of partial differential equations. The individual techniques are applied to a set of test images and then compared with respect to the obtained noise suppression levels. One of the presented procedures is image denoising via the heat conduction formula, which constitutes an equivalent of the Gaussian filter. Further, a bilateral filter is derived; this approach better preserves the edges of objects within the examined image. The last technique analyzed is anisotropic diffusion (Perona-Malik). Importantly, the signal-to-noise ratio values obtained with these different filtering methods are compared in the final section of the article.

Keywords

Noise filtering, Heat equation, Perona-Malik, Image processing

Released

12.09.2016

Publisher

VUT FEKT UTEE

Location

Brno

ISBN

9788021453876

Book

International Interdisciplinary PhD Workshop 2016 Proceedings

Pages from

82

Pages to

86

Pages count

5

URL

BibTex


@inproceedings{BUT136331,
  author="Jiří {Sliž}",
  title="Using Partial Differential Equations to Filter Images with High Noise Levels",
  annote="The paper discusses image noise suppression methods based on the solution of partial
differential equations. The individual techniques are applied to a set of test images and
then compared with respect to the obtained noise suppression levels. One of the
presented procedures is image denoising via the heat conduction formula, which
constitutes an equivalent of the Gaussian filter. Further, a bilateral filter is derived;
this approach better preserves the edges of objects within the examined image. The
last technique analyzed is anisotropic diffusion (Perona-Malik). Importantly, the
signal-to-noise ratio values obtained with these different filtering methods are
compared in the final section of the article.",
  address="VUT FEKT UTEE",
  booktitle="International Interdisciplinary PhD Workshop 2016 Proceedings",
  chapter="136331",
  howpublished="electronic, physical medium",
  institution="VUT FEKT UTEE",
  year="2016",
  month="september",
  pages="82--86",
  publisher="VUT FEKT UTEE",
  type="conference paper"
}