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
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;
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
DOI :
10.1109/UKRICIS.2010.5898121
