Redundant wavelets on graphs and high dimensional data clouds

IEEE Signal Processing Letters

Volumn 19, Issue 5, 2012, Pages 291-294

  Ram, Idan ^a   Elad, Michael ^a   Cohen, Israel ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

High dimensional signal processing; image denoising; label recovery; redundancy; tree; wavelet

Indexed keywords

APPROXIMATION COEFFICIENTS; DATA POINTS; DECOMPOSITION LEVEL; DECOMPOSITION SCHEME; HIGH DIMENSIONAL DATA; HIGH-DIMENSIONAL; POINT CLOUD; REDUNDANT WAVELET TRANSFORM; SCALAR FUNCTION; TREE; TREE-LIKE STRUCTURES; WAVELET; WEIGHTED GRAPH;

FORESTRY; IMAGE DENOISING; REDUNDANCY; SIGNAL PROCESSING; WAVELET TRANSFORMS;

TREES (MATHEMATICS);

DATA PROCESSING; GRAPHIC METHODS; IMAGE ANALYSIS; LABELS; NOISE; RECOVERY; SIGNALS;

EID: 84859704792     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2012.2190983     Document Type: Article

References (10)

1. I. Ram, M. Elad, and I. Cohen, "Generalized tree-based wavelet transform," IEEE Trans. Signal Process., vol. 59, no. 9, pp. 4199-4209, 2011.
2. S.Mallat, AWavelet Tour of Signal Processing, The SparseWay. New York: Academic, 2009.
3. M. Shensa, "The discrete wavelet transform: Wedding the a trous and mallat algorithms," IEEE Trans. Signal Process., vol. 40, no. 10, pp. 2464-2482, 1992. (Pubitemid 23555914)
4. G. Beylkin, "On the representation of operators in bases of compactly supported wavelets," SIAM J. Numer. Anal., vol. 29, no. 6, pp. 1716-1740, 1992. (Pubitemid 23606068)
5. G. Plonka, "The easy path wavelet transform: A new adaptive wavelet transform for sparse representation of two-dimensional data," Multiscale Model. Simul., vol. 7, pp. 1474-1474, 2009.
6. M. Elad and M. Aharon, "Image denoising via sparse and redundant representations over learned dictionaries," IEEE Trans. Image Process., vol. 15, no. 12, pp. 3736-3745, 2006. (Pubitemid 44811686)
7. K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3-d transform-domain collaborative filtering," IEEE Trans. Image Process., vol. 16, no. 8, pp. 2080-2095, 2007. (Pubitemid 47225460)
8. T. H. Cormen, Introduction to Algorithms. Cambridge, MA: MIT Press, 2001.
9. P. Cortez, A. Cerdeira, F. Almeida, T. Matos, and J. Reis, "Modeling wine preferences by data mining from physicochemical properties," Dec. Support Syst., vol. 47, no. 4, pp. 547-553, 1998.
10. J. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, 2004.