Properties of BV - G structures + textures decomposition models. Application to road detection in satellite images

IEEE Transactions on Image Processing

Volumn 19, Issue 11, 2010, Pages 2793-2800

  Gilles, Jérôme ^a   Meyer, Yves ^b  

^a Centre d'Expertise Parisien   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

BV; G space; image decomposition; textures

Indexed keywords

BV; DECOMPOSITION MODEL; G-SPACE; IMAGE DECOMPOSITION; ROAD DETECTION; ROAD NETWORK; SATELLITE IMAGES; THEORETICAL RESULT;

MOTOR TRANSPORTATION; ROADS AND STREETS;

TEXTURES;

EID: 78049237785     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2010.2049946     Document Type: Article

References (18)

1. J. F. Aujol, G. Aubert, L. Blanc-Féraud, and A. Chambolle, "Image decomposition into a bounded variation component and an oscillating component," J. Math. Imag. Vis., vol.22, no.1, pp. 71-88, 2005.
2. J. F. Aujol, "Contribution à l'analyse de textures en traitement d'images par méthodes variationnelles et équations aux dérivées partielles," Ph.D. dissertation, Nice Sophia Antipolis Univ., Nice, France, 2004.
3. J. F. Aujol, G. Aubert, L. Blanc-Féraud, and A. Chambolle, Decomposing an Image: Application to SAR Images, Scale-Space'03 vol. 1682, 2003, Lecture Notes in Computer Science.
4. L. A.Vese and S. J. Osher, "Modeling textures with total variation minimization and oscillating patterns in image processing," J. Sci. Comput., vol.19, pp. 553-572, 2003.
5. -1 norm," Multiscale Model. Sim., vol.1, no.3, pp. 349-370, 2003.
6. Y. Meyer, "Oscillating patterns in image processing and in some nonlinear evolution equations,"Mar. 2001, The Fifteenth Dean Jacquelines B. Lewis Memorial Lectures, American Mathematical Society.
7. A. Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imag. Vis., vol.20, no.1-2, pp. 89-97, 2004.
8. L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Phys. D, vol.60, pp. 259-268, 1992.
9. J. F. Aujol and A. Chambolle, "Dual norms and image decomposition models," Int. J. Comput. Vis., vol.63, no.1, pp. 85-104, 2005.
10. J. Gilles, "Noisy image decomposition: A new structure, textures and noise model," J. Math. Imag. Vis., vol.28, no.3, pp. 285-295, 2007.
11. J. Gilles, "Choix d'un espace de représentation image adapté à la détection de réseaux routiers," in Proc. Traitement et Analyse de l'Information: Méthodes et Applications Conf., Hammamet, Tunisia, 2007.
12. J. F. Aujol and S. H. Kang, "Color image decomposition and restoration," J. Vis. Commun. Image Represent., vol.17, no.4, pp. 916-928, 2006.
13. J. F. Aujol and T. Chan, "Combining geometrical and textured information to perform image classification," J. Vis. Commun. Image Represent., vol.17, no.5, pp. 1004-1023, 2006.
14. T. M. Le and L. A. Vese, "Image decomposition using total variation and div(BMO)," Multiscale Model. Sim., vol.4, no.2, pp. 390-423, 2005.
15. J. B. Garnett, T. M. Le, Y. Meyer, and L. A. Vese, "Image decompositions using bounded variation and generalized homogeneous Besov spaces," Appl. Comput. Harmon. Anal., vol.23, pp. 25-56, 2007.
16. A. Desolneux, L. Moisan, and J.-M. Morel, "Maximal meaningful events and applications to image analysis," Ann. Statist., vol.31, no.6, pp. 1822-1851, 2003.
17. J. Gilles and B. Collin, "Fast probabilist snake algorithm," in Proc. Int. Conf. Image Process., Barcelona, 2003, pp. 405-409.
18. A. Chambolle, V. Caselles, M. Novaga, D. Cremers, and T. Pock, "An introduction to total variation for image analysis," Lecture Notes for the Summer School on Sparsity in Linz Austria, Aug. 2009 [Online]. Available: http://hal.archives-ouvertes. fr/docs/00/43/75/81/PDF/preprint.pdf, available at