Compressed sensing image reconstruction via recursive spatially adaptive filtering

Proceedings - International Conference on Image Processing, ICIP

Volumn 1, Issue , 2006, Pages 549-552

  Egiazarian, Karen ^a   Foi, Alessandro ^a   Katkovnik, Vladimir ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Compressed sensing; Inverse problems; Limited angle tomography; Radon transform; Sparsity

Indexed keywords

ADAPTIVE FILTERING; ADAPTIVE FILTERS; APPROXIMATION ALGORITHMS; COMPRESSED SENSING; COMPUTERIZED TOMOGRAPHY; DIFFERENTIAL EQUATIONS; IMAGE DENOISING; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; STOCHASTIC SYSTEMS;

EXACT RECONSTRUCTION; LIMITED-ANGLE TOMOGRAPHY; RADON TRANSFORM; RECONSTRUCTION PROBLEMS; RECURSIVE ALGORITHMS; SPARSITY; SPECTRAL COEFFICIENTS; STOCHASTIC APPROXIMATIONS;

IMAGE RECONSTRUCTION;

EID: 48149087986     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2007.4379013     Document Type: Conference Paper

References (15)

1. Candès, E., and J. Romberg, "Practical signal recovery from random projections", IEEE Trans. Signal Process., submitted, 2005.
2. Candes, E., J. Romberg, and T. Tao, "Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information", IEEE Trans. Inf Theory, vol. 52, no. 2, pp. 489-509, 2006.
3. Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising with block-matching and 3D filtering", Proc. SPIE El. Imaging 2006, Image Process.: Algorithms and Systems V, 6064A-30, San Jose, California USA, 2006.
4. Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3D transform-domain collaborative filtering", IEEE Trans. Image Process., 2007 (in press).
5. Donoho, D.L., "Compressed sensing", IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, April 2006.
6. 1 minimization", Proc. Nat. Aca. Sci., vol. 100, pp. 2197-2202, 2003.
7. Gribonval, R., and M. Nielsen, "Sparse representation in unions of bases", IEEE Trans. Inf. Theoiy, vol. 49, no. 12, pp. 3320-3325, 2003.
8. Katkovnik, V., and O.Yu. Kulchitskii, "Parametric Statistical Estimates for Multiextremum Optimization Problems", Engineering Cybernetics, no. 6, 1975.
9. Kushner, H., G.G. Yin, Stochastic approximation and recursive algorithms and applications, 2nd ed., Springer, 2003.
10. [ 10] Olson, T., "Stabilized inversion for limited angle tomography", IEEE Eng. Med. Biol. Mag, vol. 14, no. 5, pp. 612-620, 1995.
11. Tropp, J.A., "Just relax: Convex programming methods for subset selection and sparse approximation", IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 1030-1051, March 2006.
12. Tropp, J.A., and A.C. Gilbert, "Signal recovery from partial infonnation via Orthogonal Matching Pursuit", IEEE Trans. Inf. Theory, submitted, 2005.
13. Tsaig, Y., and D.L. Donoho, "Extensions of compressed sensing", Signal Process., vol. 86, no. 3, pp. 549-571, March 2006.
14. Vanzella, W., F.A. Pellegrino, V. Torre, "Self-adaptive regularization", IEEE Trans. Pattern Anal. Mach. Intelligence, vol. 26, no. 6, pp. 804-809, 2004.
15. th Allerton Conf. Comm., Control Computing, Monticello, IL, September 2006.