A variational model for image texture identification

Recent Advances in Optimization and its Applications in Engineering

Volumn , Issue , 2010, Pages 471-480

  Echegut, R ^a   Piffet, L ^a  

^a UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892331965     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-642-12598-0_41     Document Type: Chapter

References (15)

1. Acar R., Vogel C. R. (1994) Analysis of bounded variation penalty methods for ill-posed problems. Inverse Problems, 10: 1217-1229
2. Ambrosio L., Fusco N., Pallara D. (2000) Functions of bounded variation and free discontinuity problems. Oxford mathematical monographs, Oxford University Press.
3. Attouch H., Buttazzo, Michaille G. (2006) Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization. MPS-SIAM series on optimization
4. Aubert G., Kornprobst P. (2006) Mathematical Problems in Image Processing, Partial Differential Equations and the Calculus of Variations. Applied Mathematical Sciences 147, Springer Verlag
5. Aubert G., Aujol J.-F. (2005) Modeling very oscillating signals, application to image processing. Applied Mathematics and Optimization, 51: 163-182
6. Aubert G., Aujol J.-F., Blanc-Feraud L., Chambolle A. (2005) Image decomposition into a bounded variation component and an oscillating component. Journal of Mathematical Imaging and Vision, 22: 71-88
7. Bergounioux M., Piffet L. (2010) A BV 2( ) model for image denoising and/or texture extraction , submitted, Set Valued Analysis
8. Chambolle A. (2004) An algorithm for total variation minimization and applications. Journal of Mathematical Imaging and Vision, 20: 89-97
9. Demengel F. (1984) Fonctions à hessien borné. Annales de l'institut Fourier, 34: 155-190
10. Meyer Y. (2002) Oscillating patterns in image processing and nonlinear evolution equations. Vol. 22 of University Lecture Series, AMS
11. Osher S., Fatemi E., Rudin L. (1992) Nonlinear total variation based noise removal algorithms. Physica D 60:259-268
12. Osher S., Vese L., (2004) Image denoising and decomposition with total variation minimization and oscillatory functions. Special issue on mathematics and image analysis. Journal of Mathematical Imaging and Vision, 20: 7-18
13. Piffet L. (2010) Modèles variationnels pour l'extraction de textures 2D, PhD Thesis, Université d'Orléans
14. Yin W., Goldfarb D., Osher S. (2007) A comparison of three total variation based texture extraction models. Journal of Visual Communication and Image Representation, 18: 240-252
15. Echegut R. (2009) Rapport de stage de Master 1, Université d'Orléans