• DocumentCode
    1723666
  • Title

    Analysis of the jump and approximate gradient for solutions of Mumford-Shah type energy functionals

  • Author

    Brouzet, R. ; Michaille, G. ; Puech, W. ; Rakotondralambo, J.

  • Author_Institution
    I3M Lab., Univ. of Montpellier II, Montpellier, France
  • fYear
    2010
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    The main objective of this paper is to introduce and illustrate a new tool stemming from Young measure theory in order to capture concentrations, jump sign and gradient oscillations of sequences of SBV-functions. We show how this notion of measure can be applied for the analysis of approximating solutions of Mumford-Shah type energy functionals in the one dimensional case.
  • Keywords
    approximation theory; gradient methods; image segmentation; Mumford-Shah type energy functionals; SBV-function sequence; Young measure theory; gradient oscillation; image segmentation; jump sign; tool stemming; Approximation methods; Convergence; Electronic mail; Image segmentation; Indexes; Oscillators; Image processing; Young measures; image segmentation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cybernetic Intelligent Systems (CIS), 2010 IEEE 9th International Conference on
  • Conference_Location
    Reading
  • Print_ISBN
    978-1-4244-9023-3
  • Electronic_ISBN
    978-1-4244-9024-0
  • Type

    conf

  • DOI
    10.1109/UKRICIS.2010.5898121
  • Filename
    5898121