Publication detail

Partial Differential Equations in Image Processing

MIKULKA, J.

Original Title

Partial Differential Equations in Image Processing

Type

conference paper

Language

English

Original Abstract

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.

Keywords

image processing, partial differential equation, image restoration, image denoising, image segmentation, level set

Authors

MIKULKA, J.

RIV year

2008

Released

24. 4. 2008

Publisher

Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno

Location

Brno

ISBN

978-80-214-3614-5

Book

Proceedings of the 14th Conference and Competition STUDENT EEICT 2008

Pages from

276

Pages to

280

Pages count

5

URL

http://www.feec.vutbr.cz/EEICT/2008/sbornik/03-Doktorske%20projekty/02-Zpracovani%20signalu%20a%20obrazu/07-xmikul16.pdf

BibTex

@inproceedings{BUT25690,
  author="Jan {Mikulka}",
  title="Partial Differential Equations in Image Processing",
  booktitle="Proceedings of the 14th Conference and Competition STUDENT EEICT 2008",
  year="2008",
  pages="276--280",
  publisher="Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno",
  address="Brno",
  isbn="978-80-214-3614-5",
  url="http://www.feec.vutbr.cz/EEICT/2008/sbornik/03-Doktorske%20projekty/02-Zpracovani%20signalu%20a%20obrazu/07-xmikul16.pdf"
}