I obtained my Ph.D. in 1991 at Université of Paris 9-Dauphine on image segmentation and numerical algorithms. 

For properties of the minimum of the Mumford and Shah functional look at the following paper (in french)
``Propriété de régularité des contours d'une image segmentée '', (124K) with F. Dibos,
Note au Comptes Rendus à l'Académie des Sciences-Paris, t.313, Série I, pp.573-578, 1991. 

Some applications of image segmentation are developed in ``Data fusion by segmentation. Application to texture discrimination.'', (1382K)
with C. Lopez and L. Rudin, in Actes du 14me Colloque GRETSI, pp.707-710, Juan-les-Pins, September 1993, 
and (in french) ``Segmentation d'images couleur par méthode variationnelle'', (3710K) with F. Dibos,
in Actes du 16me Colloque GRETSI, pp. 367-370, Grenoble, September 1997. 

For teaching purposes I have written course notes (only in french) about ``Traitement numérique du Signal et de l'Image", (9442K).

A short introduction to region growing and segmentation (in german) can be found in `` Regionenwachstumsverfahren und Variations-Modelle'', (2032K)
presented at the Heidelberger Bildverarbeitungsforum, organized by the Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, Universität Heidelberg, November 1995.  

For the WMY2000 F. Dibos and I propose a poster on image denoising in collaboration with M. Darche from Centre-Sciences.

Follow this link to see some IMAGES.