Image restoration via PDE

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 2942, Issue , 1997, Pages 22-33

  Kornprobst, Pierre ^a,b   Deriche, Rachid ^a   Aubert, Gilles ^b  

^a INRIA   (France)

^b UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

Anisotropic diffusion; Edge enhancement; Image restoration; Mean curvature motion; Non linear image modeling; Regularization; Variational approaches

Indexed keywords

AIRCRAFT ENGINES; ANISOTROPY; COMPUTATIONAL METHODS; DIGITAL IMAGE STORAGE; EQUATIONS OF MOTION; IMAGE ENHANCEMENT; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGING SYSTEMS; OPTICAL ANISOTROPY; PARTIAL DIFFERENTIAL EQUATIONS; REPAIR; RESTORATION;

ANISOTROPIC DIFFUSION; EDGE ENHANCEMENT; IMAGE RESTORATION; MEAN CURVATURE MOTION; NON-LINEAR IMAGE MODELING; REGULARIZATION; VARIATIONAL APPROACHES;

EDGE DETECTION;

EID: 58149215752     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.267177     Document Type: Conference Paper

References (14)

1. L. Alvarez, P-L. Lions, and J-M. Morel. Image selective smoothing and edge detection by nonlinear diffusion (II). SIAM Journal of numerical analysis, 29:845-866, 1992.
2. Luis Alvarez and Francisco Santana. Partial differential equations and image processing. Technical Report 9501, Universidad de Las Palmas de Gran Canaria, Departamento de Informatica y Sistemas, February 1995.
3. G. Aubert, M. Barlaud, L. Blanc-Feraud, and P. Charbonnier. Deterministic edge-preserving regularization in computed imaging. IEEE Trans. Imag. Process., 5(12), December 1996.
4. G. Aubert and L. Lazaroaia. A variational method in image recovery. Tr 423, to appear in siam journal of numerical analysis, URA au CNRS no 168,laboratoire J-A Dieudonne, Université de Nice Sophia-Antipolis-CNRS, June 1995.
5. Francine Catte, Pierre-Louis Lions, Jean-Michel Morel, and Tomeu Coll. Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. numerical analysis, 29(1):182-193, February 92.
6. P. Charbonnier. Reconstruction d'image: régularisation avec prise en compte des discontinuités. PhD thesis, Université de Nice-Sophia Antipolis, 1994.
7. R. Deriche and O. Faugeras. Les EDP en traitement des images et vision par ordinateur. Technical Report 2697, INRIA, November 1995.
8. D. Geman and G. Reynolds. Constrained restoration and the recovery of discontinuities. IEEE Transactions on Pattern Analysis and Machine Intelligence, l4(3):367-383, 1993.
9. Vese L. A study in the BV space of a denoising-deblurring variational problem. Preprint no 439, Université de Nice Sophia-Antipolis, January 1996.
10. R. Malladi, J. A. Sethian, and B.C. Vemuri. Shape modeling with front propagation": A level set approach. PAMI, 17(2):158-175, February 1995.
11. Stanley Osher and Leonid I. Rudin. Nonlinear total variation based noise removal algorithms. Physica D, 60:259-268, 1992.
12. Pietro Perona and Jitendra Malik. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7):629-639, July 1990.
13. J.A. Sethian. Numerical algorithms for propagating interfaces: Hamilton-jacobi equations and conservation laws. Journal of Differential Geometry, 31:131-161, 1990.
14. J.A. Sethian. Theory, algorithms, and applications of level set methods for propagating interfaces. Technical Report PAM-651, Center for Pure and Applied Mathematics, University of California, Berkeley, August 1995. To appear Acta Numerica.