Detail publikace

Partial Differential Equations in Image Processing

Originální název

Partial Differential Equations in Image Processing

Anglický název

Partial Differential Equations in Image Processing

Jazyk

en

Originální abstrakt

The paper deals with less known methods of image processing, i.e. methods that employ partial differential equations. The methods described in the paper are methods for image restoration (energy method, total variation restoration, heat equation, nonlinear diffusion, and Osher-Rudin shock filter for the enhancement of edges in an image) and methods for image segmentation (application of the level set method as a segmentation approach to complex shapes). The principles of several methods, their mathematical models, and ex-amples of image processing are given.

Anglický abstrakt

The paper deals with less known methods of image processing, i.e. methods that employ partial differential equations. The methods described in the paper are methods for image restoration (energy method, total variation restoration, heat equation, nonlinear diffusion, and Osher-Rudin shock filter for the enhancement of edges in an image) and methods for image segmentation (application of the level set method as a segmentation approach to complex shapes). The principles of several methods, their mathematical models, and ex-amples of image processing are given.

BibTex


@inproceedings{BUT25690,
  author="Jan {Mikulka}",
  title="Partial Differential Equations in Image Processing",
  annote="The paper deals with less known methods of image processing, i.e. methods that employ partial differential equations. The methods described in the paper are methods for image restoration (energy method, total variation restoration, heat equation, nonlinear diffusion, and Osher-Rudin shock filter for the enhancement of edges in an image) and methods for image segmentation (application of the level set method as a segmentation approach to complex shapes). The principles of several methods, their mathematical models, and ex-amples of image processing are given.",
  address="Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno",
  booktitle="Proceedings of the 14th Conference and Competition STUDENT EEICT 2008",
  chapter="25690",
  howpublished="print",
  institution="Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno",
  year="2008",
  month="april",
  pages="276--280",
  publisher="Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno",
  type="conference paper"
}