CRISP-contourlets: A critically sampled directional multiresolution image representation

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5207, Issue 2, 2003, Pages 655-665

  Lu, Yue ^a   Do, Minh N ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Filter banks; Image representation; Maximal decimation; Multidirectional; Multiresolution

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; FREQUENCIES; FREQUENCY DOMAIN ANALYSIS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; SIGNAL FILTERING AND PREDICTION; SPECTRUM ANALYSIS;

FILTER BANKS; FREQUENCY DECOMPOSITION; IMAGE REPRESENTATION; MAXIMAL DECIMATION; MULTIDIRECTIONAL; MULTIRESOLUTION;

IMAGE ANALYSIS;

EID: 1242263472     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.506566     Document Type: Conference Paper

References (17)

1. M. N. Do, Directional Multiresolution Image Representations. PhD thesis, Swiss Federal Institute of Technology, Lausanne, Switzerland, December 2001, http://www.ifp.uiuc.edu/̃minhdo/publications/thesis.pdf.
2. D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat's visual cortex," Journal of Physiology (160), pp. 106-154, 1962.
3. A. B. Watson, "The cortex transform: Rapid computation of simulated neural images," Computer Vision, Graphics, and Image Processing 39(3), pp. 311-327, 1987.
4. B. A. Olshausen and D. J. Field, "Emergence of simple-cell receptive field properties by learning a sparse code for natural images," Nature (381), pp. 607-609, 1996.
5. E. J. Candès and D. L. Donoho, "Curvelets - a suprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting, A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, (Saint-Malo), 1999.
6. E. J. Candès and D. L. Donoho, "Curvelets, multiresolution representation, and scaling laws," in SPIE Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine, and M. A. Unser, eds., 4119, 2000.
7. J. P. Antoine, R. Murenzi, and P. Vandergheynst, "Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns," Applied and Computational Harmonic Analysis 6, pp. 314-345, 1999.
8. F. C. A. Fernandes, R. L. van Spaendonck, and C. S. Burrus, "A directional, shift-insensitive, low-redundancy, wavelet transform." in Proc. IEEE Int. Conf. on Image Proc., (Thessaloniki, Greece), Oct 2001.
9. N. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," Journal of Appl. and Comput. Harmonic Analysis 10, pp. 234-253, 2001.
10. M. N. Do and M. Vetterli, "Contourlets: a computational framework for directional multiresolution image representation," IEEE Trans. Image Proc., 2003. submitted, http://www.ifp.uiuc.edu/̃minhdo/publications.
11. R. H. Bamberger and M. J. T. Smith, "A filter bank for the directional decomposition of images: theory and design," IEEE Trans. Signal Proc. 40, pp. 882-893, April 1992.
12. P. S. Hong and M. J. T. Smith, "An octave-band family of non-redundant directional filter banks," in Proc. IEEE Int. Conf. Acoust., Speech, and Signal Proc., pp. 1165-1168, (Orlando, USA), 2002.
13. E. Viscito and J. P. Allebach, "The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices," IEEE Trans. Circ. and Syst. 38, pp. 29-41, Jan 1991.
14. P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, 1993.
15. M. Vetterli and J. Kovačević, Wavelets and Subband Coding, Prentice-Hall, 1995.
16. D. B. H. Tay and N. Kingsbury, "Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables," IEEE Trans. Image Proc. 2, pp. 466-480, 1993.
17. S.-M. Phoong, C. W. Kim, P. P. Vaidyanathan, and R. Ansari, "A new class of two-channel biorthogonal filter banks and wavelet bases," IEEE Trans. Signal Proc. 43, pp. 649-665, Mar. 1995.