References
- Adams R 1975 Sobolev Spaces. Pure and Applied Mathematics New York Academic Press, Inc
- Ambrosio L 1997 Corso introduttivo alla teoria geometrica della misura ed alle superfici minime Scuola Normale Superiore Lecture Notes Pisa
- Ambrosio L Caselles V Masnou S Morel JM 1999 Connected components of sets of finite perimeter and applications to image processing
- Ambrosio L Fusco N Pallara D 2000 Oxford Mathematical Monographs, Oxford University Press
- Aubert G Blanc L-Féraud March R Gamma-convergence of discrete functionals with non convex perturbation for image classification. To appear in SIAM Journal on Numerical Analysis
- Aubert G Kornprobst P 2002 Mathematical Problems in Image Processing volume 147 of Applied Mathematical Sciences Berlin Springer-Verlag
- Aubert , G and Vese , L . 1997 . A variational method in image recovery . SIAM Journal on Numerical Analysis , 34 : 1948 – 1979 .
- Aujol , JF , Aubert , G and Blanc-Feraud , L . 2003 . Wavelet-based level set evolution for classification of textured images . IEEE Transactions on Image Processing , 12 ( 12 ) : 1634 – 1641 .
- Brezis H 1983 Analyse fonctionnelle. Theorie et applications Mathématiques appliquées pour la maitrise Masson
- Chan TF Vese LA 2001 Active contours without edges IEEE Transactions on Image Processing 10 2 266 277 February
- Congedo , G and Tamanini , I . 1991 . On the existence of solutions to problem in multidimensional segmentation . Ann. Inst. Henri Poincare , 8 ( 2 ) : 175 – 195 .
- Ekelaud I Temam R 1976 Convex Analysis and Variational Problems, North Holland Amsterdam
- Evans LC Gariepy RF 1992 Measure theory and fine properties of functions. volume 19 of Studies in Advanced Mathematics Bocca Raton CRC Press
- Giusti E 1994 Minimal Surfaces and Functions of Bounded Variation Boston Birkhauser
- Ladyzenskaja OA Ural’Ceva NN 1968 Linear and Quasilinear Elliptic Equations. Mathematics in Science and Engineering New York Academic Press Inc
- Ladyzenskaja , OA and Ural’Ceva , NN . 1970 . Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations . Communications in Pure and Applied Mathematics , 23 : 677 – 703 .
- Massari , U . 1974 . Esistenza e regolarita delle ipersuperfici di curvatura madia assegnata in rn . Archive for Rational Mechanics and Analysis , 55 : 357 – 382 .
- Massari U Miranda M 1984 Minimal Surfaces of Codimension One, North Holland
- Massari , U and Tamanini , I . 1991 . Regularity properties of optimal segmentations . Journal fur die Reine und Angewandte Mathematik , 420 : 61 – 84 .
- Morel JM Solimini S 1995 Variational Methods in Image Segmentation, volume 14 of Progress in Nonlinear Differential Equations and Their Applications Boston Birkhauser
- Paragios , N and Deriche , R . 2002 . Geodesic active regions and level set methods for supervised texture segmentation . International Journal of Computer Vision , 46 ( 3 ) : 223 – 247 .
- Samson , C , Blanc-Féraud , L , Aubert , G and Zerubia , J . 2000 . A level set method for image classification . International Journal of Computer Vision , 40 ( 3 ) : 187 – 197 .
- Temam , R . 1971 . Solutions généralisées de certaines équations de type hypersurfaces minima . Archive for Rational Mechanics and Analysis , 44 : 121 – 156 .
- Vese , LA and Chan , TF . 2002 . A multiphase level set framework for image segmentation using the Mumford and Shah model . International Journal of Computer Vision , 50 ( 3 ) : 271 – 293 .