A total variation-morphological image edge detection approach

Peter Ndajah, Hisakazu Kikuchi, Shogo Muramatsu, Masahiro Yukawa, Francis Benyah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present image edge detection using the total variation functional and morphological methods. First, we derive the total variation functional from first principles and vector gradient method. The total variation functional is then minimized using the Euler-Lagrange optimization method. The steady state equation which results from the minimization of the total variation functional is then used as an anisotrpic filter on images. While the total variation method has proven to be a better edge detector than the Marr-Hildreth method, it also segments the image into regions delineated by strong edges. To achieve results similar to the Marr-Hildreth method, we apply morphological considerations. We develop new operations based on erosion, dilation, opening and closing to achieve morphological edge detection of total variation filtered images.

Original languageEnglish
Title of host publicationRecent Researches in Telecommunications, Informatics, Electronics and Signal Processing - TELE-INFO'11, MINO'11, SIP'11
Pages148-153
Number of pages6
Publication statusPublished - 2011 Dec 6
Externally publishedYes
Event10th WSEAS International Conf. on Telecommunications and Informatics, TELE-INFO'11, 10th WSEAS International Conference on Microelectronics, Nanoelectronics, Optoelectronics, MINO'11, 10th WSEAS International Conference on Signal Processing, SIP'11 - Lanzarote, Canary Islands, Spain
Duration: 2011 May 272011 May 29

Publication series

NameRecent Researches in Telecommunications, Informatics, Electronics and Signal Processing - TELE-INFO'11, MINO'11, SIP'11

Other

Other10th WSEAS International Conf. on Telecommunications and Informatics, TELE-INFO'11, 10th WSEAS International Conference on Microelectronics, Nanoelectronics, Optoelectronics, MINO'11, 10th WSEAS International Conference on Signal Processing, SIP'11
CountrySpain
CityLanzarote, Canary Islands
Period11/5/2711/5/29

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Keywords

  • Edge detection
  • Euler lagrange
  • Image filter
  • Morphological edge detection
  • Total variation

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Ndajah, P., Kikuchi, H., Muramatsu, S., Yukawa, M., & Benyah, F. (2011). A total variation-morphological image edge detection approach. In Recent Researches in Telecommunications, Informatics, Electronics and Signal Processing - TELE-INFO'11, MINO'11, SIP'11 (pp. 148-153). (Recent Researches in Telecommunications, Informatics, Electronics and Signal Processing - TELE-INFO'11, MINO'11, SIP'11).