Image inpainting with a wavelet domain Hidden Markov Tree model

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2008, Pages 773-776

  Papandreou, George ^a   Maragos, Petros ^a   Kokaram, Anil ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS NTUA   (Greece)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; DISCRETE COSINE TRANSFORMS; IMAGE ENHANCEMENT; IMAGE PROCESSING; IMAGE SEGMENTATION; PAINTING; SIGNAL PROCESSING; SPEECH;

IMAGE INPAINTING; INTERNATIONAL CONFERENCES;

WAVELET TRANSFORMS;

EID: 51449112789     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2008.4517724     Document Type: Conference Paper

References (28)

1. M. Bertalmio, G. Sapiro, V. Caselles, and C. Ballester, "Image inpainting," in Proceedings of SIGGRAPH, 2000, pp. 417-424.
2. J. S. De Bonet, "Multiresolution sampling procedure for analysis and synthesis of texture images," in Proc. of SIGGRAPH, 1997, pp. 361-368.
3. A. A. Efros and T. K. Leung, "Texture synthesis by non-parametric sampling," in Proc. ICCV, 1999, vol. 2.
4. A. Criminisi, P. Pérez, and K. Toyama, "Object removal by exemplar-based inpainting," in Proc. CVPR, 2003, pp. 417-424.
5. J. Jia and C.-K. Tang, "Inference of segmented color and texture description by tensor voting," IEEE Trans. on PAMI, vol. 26, no. 6, pp. 771-786, 2004.
6. J. Sun, L. Yuan, J. Jia, and H.-Y. Shum, "Image completion with structure propagation," in Proc. of SIGGRAPH, 2005, pp. 861-868.
7. S. Masnou and J.-M. Morel, "Level lines based disocclusion," in Proc. ICIP, 1998, vol. 3, pp. 259-263.
8. T. F. Chan and J. Shen, "Mathematical models for local nontexture inpaintings," SIAM J. Applied Math., vol. 62, no. 3, pp. 1019-1043, 2001.
9. S.C. Zhu and D. Mumford, "Prior learning and gibbs reaction-diffusion," IEEE Trans. on PAMI, vol. 19, no. 11, pp. 1236-1250, 1997.
10. J. Portilla and E. P. Simoncelli, "A parametric texture model based on joint statistics of complex wavelet coefficients," IJCV, vol. 40, no. 1, pp. 49-71, 2000.
11. D.J. Field, "Relations between the statistics of natural images and the response properties of cortical cells," JOSA (A), vol. 4, no. 12, pp. 2379-2394, 1987.
12. E. P. Simoncelli, "Modeling the joint statistics of images in the wavelet domain," in Proc. of SPIE, 1999, vol. 3813, pp. 188-195.
13. S. Mallat, A Wavelet Tour of Signal Processing, Acad. Press, 2 edition, 1999.
14. M. Elad, J.-L. Starck, P. Querre, and D. L. Donoho, "Simultaneous cartoon and texture image inpainting using morphological component analysis," App. and Comp. Harm. Anal., vol. 19, pp. 340-358, 2005.
15. O. G. Guleryuz, "Nonlinear approximation based image recovery using adaptive sparse reconstructions and iterated denoising-part I: theory," IEEE Tr. on Image Proc., vol. 15, no. 3, pp. 539-554, Mar. 2006.
16. T. Lee and X.-L. Meng, "A self-consistent wavelet method for denoising images with missing pixels," in Proc. ICASSP, 2005, vol. II, pp. 41-44.
17. M. J. Fadili and J.-L. Starck, "EM algorithm for sparse representation-based image inpainting," in Proc. ICIP, 2005.
18. A. Willsky, "Multiresolution markov models for signal and image processing," Proc. of the IEEE, vol. 90, no. 8, pp. 1396-1458, 2002.
19. M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Wavelet-based statistical signal processing using hidden markov models," IEEE Trans. on Signal Processing, vol. 46, no. 4, pp. 886-902, 1998.
20. C. Févotte, B. Torrésani, L. Daudet, and S. J. Godsill, "Sparse linear regression with structured priors and application to denoising of musical audio," IEEE Trans. on Aud., Speech, and Lang. Proc., vol. 16, no. 1, pp. 174-185, 2008.
21. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multiscale transforms," IEEE Trans. on Inform. Theory, vol. 38, no. 2, pp. 587-607, 1992.
22. N. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," App. and Comp. Harm. Anal., vol. 10, no. 3, pp. 234-253, 2001.
23. I. W. Selesnick, R. G. Baraniuk, and N. Kingsbury, "The dual-tree complex wavelet transform," IEEE Signal Proc. Mag., vol. 22, no. 6, pp. 123-151, 2005.
24. H. Choi, J. K. Romberg, R. G. Baraniuk, and N. Kingsbury, "Hidden markov tree modeling of complex wavelet transforms," in Proc. ICASSP, 2000, pp. 133-136.
25. J. Besag, "On the statistical analysis of dirty pictures," J. R. Stat. Soc., Ser. B., vol. 48, no. 3, pp. 259-302, 1986.
26. S. Chib, "Calculating posterior distributions and modal estimates in markov mixture models," J. of Econometrics, vol. 75, pp. 79-97, 1996.
27. C. P. Robert and G. Casella, Monte Carlo Statistical Methods, Springer, 2005.
28. C. Doumas, The Wall-paintings of Thera, The Thera Foundation, 1992.