Sparse approximation of images inspired from the functional architecture of the primary visual areas

Eurasip Journal on Advances in Signal Processing

Volumn 2007, Issue , 2007, Pages

  Fischer, Sylvain ^a,b   Redondo, Rafael ^a   Perrinet, Laurent ^b   Cristóbal, Gabriel ^a  

^a INSTITUTO DE ÓPTICA   (Spain)

^b AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER ARCHITECTURE; IMAGE COMPRESSION; IMAGE RECONSTRUCTION; OPTICAL RESOLVING POWER; REDUNDANCY; WAVELET TRANSFORMS;

FUNCTIONAL ARCHITECTURE; GABOR WAVELETS; VISUAL INFORMATION;

IMAGE ANALYSIS;

EID: 33846786895     PISSN: 11108657     EISSN: 16870433     Source Type: Journal    
DOI: 10.1155/2007/90727     Document Type: Article

References (47)

1. E. P. Simoncelli W. T. Freeman E. H. Adelson D. J. Heeger Shiftable multiscale transforms. IEEE Transactions on Information Theory 38 2 1992 587 607
2. M. N. Do minhdo@uiuc.edu M. Vetterli martin.vetterli@epfl.ch The contourlet transform: an efficient directional multiresolution image representation. IEEE Transactions on Image Processing 14 12 2005 2091 2106
3. N. Kingsbury ngk@eng.cam.ac.uk Complex wavelets for shift invariant analysis and filtering of signals. Applied and Computational Harmonic Analysis 10 3 2001 234 253
4. D. L. Donoho donoho@stat.stanford.edu A. G. Flesia flesia@stat.stanford. edu Can recent innovations in harmonic analysis explain key findings in natural image statistics? Network: Computation in Neural Systems 12 3 2001 371 393
5. S. G. Mallat Z. Zhang Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing 41 12 1993 3397 3415
6. S. S. Chen schen@watson.ibm.com D. L. Donoho donoho@stat.stanford.edu M. A. Saunders mike@SOL-Michael.stanford.edu Atomic decomposition by basis pursuit. SIAM Journal of Scientific Computing 20 1 1998 33 61
7. L. Perrinet laurent@lnf.cnrs-mrs.fr M. Samuelides S. Thorpe Coding static natural images using spiking event times: do neurons cooperate? IEEE Transactions on Neural Networks 15 5 2004 1164 1175
8. S. Fischer sylvain@optica.csic.es G. Cristóbal R. Redondo Sparse overcomplete Gabor wavelet representation based on local competitions. IEEE Transactions on Image Processing 15 2 2006 265 272
9. A. E. C. Pece The problem of sparse image coding. Journal of Mathematical Imaging and Vision 17 2 2002 89 108
10. L. Perrinet Laurent.Perrinet@incm.cnrs-mrs.fr Feature detection using spikes: the greedy approach. Journal of Physiology Paris 98 4-6 2004 530 539
11. J. G. Daugman Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. Journal of the Optical Society of America. A, Optics and Image Science 2 7 1985 1160 1169
12. R. L. De Valois D. G. Albrecht L. G. Thorell Spatial frequency selectivity of cells in macaque visual cortex. Vision Research 22 5 1982 545 559
13. B. A. Olshausen bruno@redwood.ucdavis.edu D. J. Field Sparse coding with an overcomplete basis set: a strategy employed by V1? Vision Research 37 23 1997 3311 3325
14. M. K. Kapadia G. Westheimer C. D. Gilbert Spatial distribution of contextual interactions in primary visual cortex and in visual perception. Journal of Neurophysiology 84 4 2000 2048 2062
15. S. Mandon mandon@brain.uni-bremen.de A. K. Kreiter Rapid contour integration in macaque monkeys. Vision Research 45 3 2005 291 300
16. R. F. Hess robert.hess@mcgill.ca A. Hayes D. J. Field Contour integration and cortical processing. Journal of Physiology Paris 97 2-3 2003 105 119
17. S. Grossberg E. Mingolla J. Williamson Synthetic aperture radar processing by a multiple scale neural system for boundary and surface representation. Neural Networks 8 7-8 1995 1005 1028
18. T. Hansen W. Sepp H. Neumann S. Wermter J. Austin D. Willshaw Recurrent long-range interactions in early vision. Emergent Neural Computational Architectures Based on Neuroscience LNAI 2036 Springer Heidelberg, Germany 2001 127 138
19. F. Heitger L. Rosenthaler R. Von der Heydt E. Peterhans O. Kubler Simulation of neutral contour mechanisms: from simple to end-stopped cells. Vision Research 32 5 1992 963 981
20. S.-C. Yen syen@seas.upenn.edu L. H. Finkel Extraction of perceptually salient contours by striate cortical networks. Vision Research 38 5 1998 719 741
21. R. VanRullen A. Delorme S. J. Thorpe Feed-forward contour integration in primary visual cortex based on asynchronous spike propagation. Neurocomputing 38-40 1-4 2001 1003 1009
22. R. R. Coifman D. Donoho A. Antoniadis G. Oppenheim Translation-invariant de-noising. Wavelets and Statistics Lecture Notes in Statistics 103 Springer New York, NY, USA 1995 125 150
23. S. Fischer F. Sroubek L. Perrinet R. Redondo G. Cristóbal Self-invertible 2D log-Gabor wavelets. International Journal of Computer Vision, to appear
24. S. Fischer R. Redondo L. Perrinet G. Cristóbal R. A. Carmona Sparse Gabor wavelets by local operations. Proceedings of SPIE Bioengineered and Bioinspired Systems II Sevilla, Spain 5839 2005 75 86
25. J. Portilla javier@decsai.ugr.es V. Strela vstrela@mcs.drexel.edu M. J. Wainwright wainwrig@eecs.berkeley.edu E. P. Simoncelli eero.simoncelli@nyu.edu Image denoising using scale mixtures of Gaussians in the wavelet domain. IEEE Transactions on Image Processing 12 11 2003 1338 1351
26. S. Mallat S. Zhong Characterization of signals from multiscale edges. IEEE Transactions on Pattern Analysis and Machine Intelligence 14 1992 7 710 732
27. J. H. Elder Are edges incomplete? International Journal of Computer Vision 34 1999 2-3 97 122
28. L. Peotta lorenzo.peotta@epfl.ch L. Granai lorenzo.granai@epfl.ch P. Vandergheynst pierre.vandergheynst@epfl.ch Image compression using an edge adapted redundant dictionary and wavelets. Signal Processing 86 3 2006 444 456 special issue on Sparse Approximations in Signal and Image Processing
29. J.-L. Starck jstarck@cea.fr M. Elad elad@cs.technion.ac.il D. L. Donoho donoho@stat.stanford.edu Image decomposition via the combination of sparse representations and a variational approach. IEEE Transactions on Image Processing 14 10 2005 1570 1582
30. M. Wakin J. Romberg H. Choi R. Baraniuk Image compression using an efficient edge cartoon + texture model. Proceedings of Data Compression Conference (DCC '02) Snowbird, Utah, USA 2002 43 52
31. J. Canny Computational approach to edge detection. IEEE Transactions on Pattern Analysis and Machine Intelligence 8 6 1986 679 698
32. M. C. Morrone D. C. Burr Feature detection in human vision: a phase-dependent energy model. Proceedings of the Royal Society of London. Series B. Biological Sciences 235 1280 1988 221 245
33. B. W. Rust H. E. Rushmeier H. R. Arabnia A new representation of the contrast sensitivity function for human vision. Proceedings of the International Conference on Imaging Science, Systems, and Technology (CISST '97) Las Vegas, Nev, USA 1997 1 15
34. J. J. Atick Could information theory provide an ecological theory of sensory processing? Network: Computation in Neural Systems 3 2 1992 213 251
35. S. G. Chang grchang@yahoo.com B. Yu binyu@stat.berkeley.edu M. Vetterli Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing 9 9 2000 1532 1546
36. W. H. Bosking Y. Zhang B. Schofield D. Fitzpatrick Orientation selectivity and the arrangement of horizontal connections in tree shrew striate cortex. Journal of Neuroscience 17 6 1997 2112 2127
37. N. Krüger nkrueger@neuroinformatik.ruhr-uni-bochum.de Collinearity and parallelism are statistically significant second-order relations of complex cell responses. Neural Processing Letters 8 2 1998 117 129
38. W. S. Geisler J. S. Perry B. J. Super D. P. Gallogly Edge co-occurrence in natural images predicts contour grouping performance. Vision Research 41 6 2001 711 724
39. P. Kovesi Phase congruency detects corners and edges. Proceedings of the 7th International Conference on Digital Image Computing: Techniques and Applications (DICTA '03) Sydney, NSW, Australia 2003 309 318
40. D. Hubel Eye, Brain, and Vision. Scientific American Library Series W. H. Freeman New York, NY, USA 1988
41. A. Dobbins S. W. Zucker M. S. Cynader Endstopping and curvature. Vision Research 29 10 1989 1371 1387
42. A. Pasupathy C. E. Connor connor@jhu.edu Population coding of shape in area V4. Nature Neuroscience 5 12 2002 1332 1338
43. R. Redondo G. Cristóbal Lossless chain coder for gray edge images. Proceedings of IEEE International Conference on Image Processing (ICIP '03) Barcelona, Spain 2 2003 201 204
44. H. Freeman On the encoding of arbitrary geometric configurations. IRE Transactions on Electronic Computers 10 1961 260 268
45. G. P. Howard The design and analysis of efficient lossless data compression systems. Department of Computer Science, Brown University Providence, RI, USA CS-93-28 1993
46. J. Portilla E. P. Simoncelli A parametric texture model based on joint statistics of complex wavelet coefficients. International Journal of Computer Vision 40 1 2000 49 70
47. S. Fischer New contributions in overcomplete image representations inspired from thefunctional architecture of the primary visual cortex. Technical University Madrid HighTechnical School of Telecommunication Engineering, Department of Electronic Engineering Spain 2007