메뉴 건너뛰기




Volumn 21, Issue 6, 2009, Pages 1485-1519

Nonlinear extraction of independent components of natural images using radial gaussianization

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ARTIFICIAL INTELLIGENCE; COMPUTER ASSISTED DIAGNOSIS; HUMAN; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; PRINCIPAL COMPONENT ANALYSIS; SIGNAL PROCESSING;

EID: 67651065449     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2009.04-08-773     Document Type: Article
Times cited : (92)

References (91)
  • 4
    • 0000302918 scopus 로고
    • Towards a theory of early visual processing
    • Atick, J. J., & Redlich, A. N. (1990). Towards a theory of early visual processing. Neural Computation, 2, 308-320.
    • (1990) Neural Computation , vol.2 , pp. 308-320
    • Atick, J.J.1    Redlich, A.N.2
  • 5
    • 0000728115 scopus 로고
    • Some informational aspects of visual perception
    • Attneave, F. (1954). Some informational aspects of visual perception. Psych. Rev., 61, 183-193.
    • (1954) Psych. Rev. , vol.61 , pp. 183-193
    • Attneave, F.1
  • 6
    • 0037599835 scopus 로고    scopus 로고
    • Searching for filters with "interesting"output distributions: An uninteresting direction to explore
    • Baddeley, R. (1996). Searching for filters with "interesting"output distributions: An uninteresting direction to explore. Network, 7, 409-421.
    • (1996) Network , vol.7 , pp. 409-421
    • Baddeley, R.1
  • 7
    • 0002014402 scopus 로고
    • Possible principles underlying the transformation of sensory messages
    • W. A. Rosenblith (Ed.), Cambridge, MA: MIT Press
    • Barlow, H. B. (1961). Possible principles underlying the transformation of sensory messages. In W. A. Rosenblith (Ed.), Sensory communication (pp. 217-234). Cambridge, MA: MIT Press.
    • (1961) Sensory communication , pp. 217-234
    • Barlow, H.B.1
  • 8
    • 0030832881 scopus 로고    scopus 로고
    • The "interesting"components of natural scenes are edge filters
    • Bell, A. J., & Sejnowski, T. J. (1997). The "independent components" of natural scenes are edge filters. Vision Research, 37(23), 3327-3338.
    • (1997) Vision Research , vol.37 , Issue.23 , pp. 3327-3338
    • Bell, A.J.1    Sejnowski, T.J.2
  • 9
    • 33745757361 scopus 로고    scopus 로고
    • Factorial coding of natural images: How effective are linear models in removing higher-order dependencies?
    • Bethge, M. (2006). Factorial coding of natural images: How effective are linear models in removing higher-order dependencies? J. Opt. Soc. Am. A, 23(6), 1253-1268.
    • (2006) J. Opt. Soc. Am. A , vol.23 , Issue.6 , pp. 1253-1268
    • Bethge, M.1
  • 10
    • 0033338289 scopus 로고    scopus 로고
    • Image compression via joint statistical characterization in the wavelet domain
    • Buccigrossi, R. W., & Simoncelli, E. P. (1999). Image compression via joint statistical characterization in the wavelet domain. IEEE Transactions on Image Processing, 8(12), 1688-1701.
    • (1999) IEEE Transactions on Image Processing , vol.8 , Issue.12 , pp. 1688-1701
    • Buccigrossi, R.W.1    Simoncelli, E.P.2
  • 11
    • 0020737631 scopus 로고
    • The Laplacian pyramid as a compact image code
    • Burt, P., & Adelson, E. (1981). The Laplacian pyramid as a compact image code. IEEE Transactions on Communication, 31(4), 532-540.
    • (1981) IEEE Transactions on Communication , vol.31 , Issue.4 , pp. 532-540
    • Burt, P.1    Adelson, E.2
  • 12
    • 0032612381 scopus 로고    scopus 로고
    • High-order contrasts for independent component analysis
    • Cardoso, J.-F. (1999). High-order contrasts for independent component analysis. Neural Computation, 11(1), 157-192.
    • (1999) Neural Computation , vol.11 , Issue.1 , pp. 157-192
    • Cardoso, J.-F.1
  • 13
    • 8344285779 scopus 로고    scopus 로고
    • Dependence, correlation and gaussianity in independent component analysis
    • Cardoso, J.-F. (2004). Dependence, correlation and gaussianity in independent component analysis. J. Mach. Learn. Res., 4(7-8), 1177-1203.
    • (2004) J. Mach. Learn. Res. , vol.4 , Issue.7-8 , pp. 1177-1203
    • Cardoso, J.-F.1
  • 16
    • 2442477604 scopus 로고    scopus 로고
    • Gaussianization
    • T. K. Leen, T. G. Dietterich, & V. Tresp (Eds.), Cambridge, MA: MIT Press
    • Chen, S. S., & Gopinath, R. A. (2000). Gaussianization. In T. K. Leen, T. G. Dietterich, & V. Tresp (Eds.), Advances in neural computation systems, 13 (pp. 423-429). Cambridge, MA: MIT Press.
    • (2000) Advances in neural computation systems , vol.13 , pp. 423-429
    • Chen, S.S.1    Gopinath, R.A.2
  • 17
    • 0026686048 scopus 로고
    • Entropy-based algorithms for best basis selection
    • Coifman, R. R., & Wickerhauser, M. V. (1992). Entropy-based algorithms for best basis selection. IEEE Trans. Info. Theory, 38(2), 713-718.
    • (1992) IEEE Trans. Info. Theory , vol.38 , Issue.2 , pp. 713-718
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 18
    • 0028416938 scopus 로고
    • Independent component analysis, a new concept?
    • Comon, P. (1994). Independent component analysis, a new concept? Signal Process., 36, 387-314.
    • (1994) Signal Process , vol.36 , pp. 387-314
    • Comon, P.1
  • 21
    • 0037418225 scopus 로고    scopus 로고
    • Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization
    • Donoho, D. L., & Elad, M. (2003). Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization. Proc. National Academy of Sciences, 100(5), 2197-2202.
    • (2003) Proc. National Academy of Sciences , vol.100 , Issue.5 , pp. 2197-2202
    • Donoho, D.L.1    Elad, M.2
  • 24
    • 0023492118 scopus 로고
    • Relations between the statistics of natural images and the response properties of cortical cells
    • Field, D. J. (1987). Relations between the statistics of natural images and the response properties of cortical cells. J. Opt. Soc. Am. A, 4(12), 2379-2394.
    • (1987) J. Opt. Soc. Am. A , vol.4 , Issue.12 , pp. 2379-2394
    • Field, D.J.1
  • 25
    • 0028450611 scopus 로고
    • Human luminance pattern-vision mechanisms: Masking experiments require a new model
    • Foley, J. (1994). Human luminance pattern-vision mechanisms: Masking experiments require a new model.J. Opt. Soc. Am. A, 11(6), 1710-1719.
    • (1994) J. Opt. Soc. Am. A , vol.11 , Issue.6 , pp. 1710-1719
    • Foley, J.1
  • 26
    • 84864038697 scopus 로고    scopus 로고
    • Products of "edge-perts."
    • Y. Weiss, B. Schölkopf, & J. Platt (Eds. ) Cambridge, MA: MIT Press
    • Gehler, P., & Welling, M. (2006). Products of "edge-perts."In Y. Weiss, B. Schölkopf, & J. Platt (Eds.), Advances in Neural Information Processing Systems, 18 (419-426). Cambridge, MA: MIT Press.
    • (2006) Advances in Neural Information Processing Systems , vol.18 , pp. 419-426
    • Gehler, P.1    Welling, M.2
  • 27
    • 0026659955 scopus 로고
    • Cortical neurons: Isolation of contrast gain control
    • Geisler, W. S., & Albrecht, D. G. (1992). Cortical neurons: Isolation of contrast gain control. Vision Research, 8, 1409-1410.
    • (1992) Vision Research , vol.8 , pp. 1409-1410
    • Geisler, W.S.1    Albrecht, D.G.2
  • 28
    • 52249106764 scopus 로고    scopus 로고
    • Higher order pyramids: An early vision representation
    • A. Leonardis, H. Bischof, & A. Prinz (Eds.), Berlin: Springer-Verlag
    • Gluckman, J. M. (2006). Higher order pyramids: An early vision representation. In A. Leonardis, H. Bischof, & A. Prinz (Eds.), European Conference on Computer Vision (ECCV). Berlin: Springer-Verlag.
    • (2006) European Conference on Computer Vision (ECCV)
    • Gluckman, J.M.1
  • 29
    • 0018026724 scopus 로고
    • In search of a general picture processing operator
    • Granlund, G. H. (1978). In search of a general picture processing operator. Computer Graphics and Image Processing, 8(2), 155-173.
    • (1978) Computer Graphics and Image Processing , vol.8 , Issue.2 , pp. 155-173
    • Granlund, G.H.1
  • 30
    • 0026904517 scopus 로고
    • Normalization of cell responses in cat striate cortex
    • Heeger, D. J. (1992). Normalization of cell responses in cat striate cortex. Visual Neural Science, 9, 181-198.
    • (1992) Visual Neural Science , vol.9 , pp. 181-198
    • Heeger, D.J.1
  • 32
    • 0032629347 scopus 로고    scopus 로고
    • Fast and robust fixed-point algorithms for independent component analysis
    • Hyvärinen, A. (1999). Fast and robust fixed-point algorithms for independent component analysis. IEEE Transactions on Neural Networks, 10(3), 626-634.
    • (1999) IEEE Transactions on Neural Networks , vol.10 , Issue.3 , pp. 626-634
    • Hyvärinen, A.1
  • 33
    • 0034222304 scopus 로고    scopus 로고
    • Emergence of phaseand shift-invariant features by decomposition of natural images into independent feature subspaces
    • Hyvärinen, A., & Hoyer, P. (2000). Emergence of phaseand shift-invariant features by decomposition of natural images into independent feature subspaces. Neural Computation, 12(2), 1705-1720.
    • (2000) Neural Computation , vol.12 , Issue.2 , pp. 1705-1720
    • Hyvärinen, A.1    Hoyer, P.2
  • 34
    • 0035409349 scopus 로고    scopus 로고
    • Topographic independent component analysis
    • Hyvärinen, A., Hoyer, P. O., & Inki, M. (2001). Topographic independent component analysis. Neural Computation, 13, 1527-1558.
    • (2001) Neural Computation , vol.13 , pp. 1527-1558
    • Hyvärinen, A.1    Hoyer, P.O.2    Inki, M.3
  • 35
    • 17544384568 scopus 로고    scopus 로고
    • Bubbles: A unifying framework for low-level statistical properties of natural image sequences
    • Hyvärinen, A., Hurri, J., & Väyrynen, J. (2003). Bubbles: A unifying framework for low-level statistical properties of natural image sequences. J. Opt. Soc. Am. A, 20(7), 1237-1252.
    • (2003) J. Opt. Soc. Am. A , vol.20 , Issue.7 , pp. 1237-1252
    • Hyvärinen, A.1    Hurri, J.2    Väyrynen, J.3
  • 36
    • 0041435860 scopus 로고    scopus 로고
    • Nonlinear independent component analysis: Existence and uniqueness results
    • Hyvärinen, A., & Pajunen, P. (1999). Nonlinear independent component analysis: Existence and uniqueness results. Neural Networks, 12(3), 429-439.
    • (1999) Neural Networks , vol.12 , Issue.3 , pp. 429-439
    • Hyvärinen, A.1    Pajunen, P.2
  • 38
    • 13244255412 scopus 로고    scopus 로고
    • A hierarchical Bayesian model for learning non-linear statistical regularities in non-stationary natural signals
    • Karklin, Y., & Lewicki, M. S. (2005). A hierarchical Bayesian model for learning non-linear statistical regularities in non-stationary natural signals. Neural Computation, 17(2), 397-423.
    • (2005) Neural Computation , vol.17 , Issue.2 , pp. 397-423
    • Karklin, Y.1    Lewicki, M.S.2
  • 39
    • 0002861940 scopus 로고
    • Random walks with spherical symmetry
    • Kingman, J. F. C. (1963). Random walks with spherical symmetry. Acta Math., 109(9), 11-53.
    • (1963) Acta Math , vol.109 , Issue.9 , pp. 11-53
    • Kingman, J.F.C.1
  • 41
    • 0001380009 scopus 로고    scopus 로고
    • Emergence of invariant-feature detectors in the adaptivesubspace self-organizing map
    • Kohonen, T. (1996). Emergence of invariant-feature detectors in the adaptivesubspace self-organizing map. Biological Cybernetics, 75(5), 281-291.
    • (1996) Biological Cybernetics , vol.75 , Issue.5 , pp. 281-291
    • Kohonen, T.1
  • 44
    • 0036212160 scopus 로고    scopus 로고
    • Efficient coding of natural sounds
    • Lewicki, M. S. (2002). Efficient coding of natural sounds. Nature Neuroscience, 5(4), 356-363.
    • (2002) Nature Neuroscience , vol.5 , Issue.4 , pp. 356-363
    • Lewicki, M.S.1
  • 45
    • 0034133184 scopus 로고    scopus 로고
    • Learning overcomplete representations
    • Lewicki, M. S., & Sejnowski, T. J. (2000). Learning overcomplete representations. Neural Computation, 12, 337-365.
    • (2000) Neural Computation , vol.12 , pp. 337-365
    • Lewicki, M.S.1    Sejnowski, T.J.2
  • 48
    • 62249200514 scopus 로고    scopus 로고
    • Modeling multiscale subbands of photographic images with fields of gaussian scale mixtures
    • Lyu, S., & Simoncelli, E. P. (2009a). Modeling multiscale subbands of photographic images with fields of gaussian scale mixtures. IEEE Trans. Patt. Analysis and Machine Intelligence, 31(4), 693-706.
    • (2009) IEEE Trans. Patt. Analysis and Machine Intelligence , vol.31 , Issue.4 , pp. 693-706
    • Lyu, S.1    Simoncelli, E.P.2
  • 49
    • 84858781961 scopus 로고    scopus 로고
    • Reducing statistical dependencies in natural signals using radial gaussianization
    • D. Koller, D. Schuurman, Y. Bengio, & L. Bottou (Eds.), Cambridge, MA: MIT Press
    • Lyu, S., & Simoncelli, E. P. (2009b). Reducing statistical dependencies in natural signals using radial gaussianization. In D. Koller, D. Schuurman, Y. Bengio, & L. Bottou (Eds.), Advances in neural information processing systems, 21.Cambridge, MA: MIT Press.
    • (2009) Advances in neural information processing systems , vol.21
    • Lyu, S.1    Simoncelli, E.P.2
  • 50
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Mallat, S. G. (1989). A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. Patt. Analysis and Machine Intelligence, 11, 674-693.
    • (1989) IEEE Trans. Patt. Analysis and Machine Intelligence , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 51
    • 0027842081 scopus 로고
    • Matching pursuits with time-frequency dictionaries
    • Mallat, S., & Zhang, Z. (1993). Matching pursuits with time-frequency dictionaries. IEEE Trans. Signal Proc., 41(12), 3397-3415.
    • (1993) IEEE Trans. Signal Proc. , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 53
    • 0038089386 scopus 로고    scopus 로고
    • Non-linear invertible representation for joint statistical and perceptual feature decorrelation
    • Berlin: Springer-Verlag
    • Malo, J., Navarro, R., Epifanio, I., Ferri, F., & Artigas, J. (2000). Non-linear invertible representation for joint statistical and perceptual feature decorrelation. In Proc. SPR+SSPR (pp. 658-667). Berlin: Springer-Verlag.
    • (2000) Proc. SPR+SSPR , pp. 658-667
    • Malo, J.1    Navarro, R.2    Epifanio, I.3    Ferri, F.4    Artigas, J.5
  • 54
    • 43449104504 scopus 로고    scopus 로고
    • Functional mechanisms shaping lateral geniculate responses to artificial and natural stimuli
    • Mante, V., Bonin, V., & Carandini, M. (2008). Functional mechanisms shaping lateral geniculate responses to artificial and natural stimuli. Neuron, 58, 625-638.
    • (2008) Neuron , vol.58 , pp. 625-638
    • Mante, V.1    Bonin, V.2    Carandini, M.3
  • 55
    • 0036268512 scopus 로고    scopus 로고
    • A statistic for testing the null hypothesis of elliptical symmetry
    • Manzotti, A., Pérez, F. J., & Quiroz, A. J. (2002). A statistic for testing the null hypothesis of elliptical symmetry. Journal of Multivariate Analysis, 81(2), 274-285.
    • (2002) Journal of Multivariate Analysis , vol.81 , Issue.2 , pp. 274-285
    • Manzotti, A.1    Pérez, F.J.2    Quiroz, A.J.3
  • 57
    • 49549131559 scopus 로고
    • A spherical characterization of the normal distribution
    • Nash, D., & Klamkin, M. S. (1976). A spherical characterization of the normal distribution. Journal of Multivariate Analysis, 55, 56-158.
    • (1976) Journal of Multivariate Analysis , vol.55 , pp. 56-158
    • Nash, D.1    Klamkin, M.S.2
  • 58
    • 10044244001 scopus 로고    scopus 로고
    • Stable distributions-Models for heavy tailed data
    • Boston: Birkhäuser
    • Nolan, J. P. (2009). Stable distributions-Models for heavy tailed data. Boston: Birkhäuser. In progress, Chapter 1 online at http://academic2.american.edu/~jpnolan.
    • (2009) Progress, Chapter 1 online at
    • Nolan, J.P.1
  • 59
    • 0029938380 scopus 로고    scopus 로고
    • Emergence of simple-cell receptive field properties by learning a sparse code for natural images
    • Olshausen, B. A., & Field, D. J. (1996). Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature, 381, 607-609.
    • (1996) Nature , vol.381 , pp. 607-609
    • Olshausen, B.A.1    Field, D.J.2
  • 60
    • 0030779611 scopus 로고    scopus 로고
    • Sparse coding with an overcomplete basis set: A strategy employed by V1?
    • Olshausen, B. A., & Field, D. J. (1997). Sparse coding with an overcomplete basis set: A strategy employed by V1? Vision Research, 37, 3311-3325.
    • (1997) Vision Research , vol.37 , pp. 3311-3325
    • Olshausen, B.A.1    Field, D.J.2
  • 61
    • 84898988668 scopus 로고    scopus 로고
    • Higher-order statistical properties arising from the non-stationarity of natural signals
    • T. K. Leen, T. G. Dietterich, & V. Tresp (Eds.), Cambridge, MA: MIT Press
    • Parra, L., Spence, C., & Sajda, P. (2001). Higher-order statistical properties arising from the non-stationarity of natural signals. In T. K. Leen, T. G. Dietterich, & V. Tresp (Eds.), Advances in neural information processing systems, 13 (pp. 786-792). Cambridge, MA: MIT Press.
    • (2001) Advances in neural information processing systems , vol.13 , pp. 786-792
    • Parra, L.1    Spence, C.2    Sajda, P.3
  • 64
    • 0001187198 scopus 로고
    • Statistics of natural images: Scaling in the woods
    • Ruderman, D. L., & Bialek, W. (1994). Statistics of natural images: Scaling in the woods. Phys. Rev. Letters, 73(6), 814-817.
    • (1994) Phys. Rev. Letters , vol.73 , Issue.6 , pp. 814-817
    • Ruderman, D.L.1    Bialek, W.2
  • 65
    • 0034939633 scopus 로고    scopus 로고
    • Natural signal statistics and sensory gain control
    • Schwartz, O., & Simoncelli, E. P. (2001). Natural signal statistics and sensory gain control. Nature Neuroscience, 4(8), 819-825.
    • (2001) Nature Neuroscience , vol.4 , Issue.8 , pp. 819-825
    • Schwartz, O.1    Simoncelli, E.P.2
  • 66
    • 0036844073 scopus 로고    scopus 로고
    • Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency
    • Sendur, L., & Selesnick, I. W. (2002). Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Trans. Signal Proc., 50(11), 2744-2756.
    • (2002) IEEE Trans. Signal Proc. , vol.50 , Issue.11 , pp. 2744-2756
    • Sendur, L.1    Selesnick, I.W.2
  • 67
    • 51949095779 scopus 로고    scopus 로고
    • Recursive ICA
    • B. Schölkopf, J. Platt, & T. Hoffman (Eds.), Cambridge, MA: MIT Press
    • Shan, H., Zhang, L., & Cottrell, G. W. (2007). Recursive ICA. In B. Schölkopf, J. Platt, & T. Hoffman (Eds.), Advances in neural information processing systems, 19 (pp. 1273-1280). Cambridge, MA: MIT Press.
    • (2007) Advances in neural information processing systems , vol.19 , pp. 1273-1280
    • Shan, H.1    Zhang, L.2    Cottrell, G.W.3
  • 69
    • 0031674414 scopus 로고    scopus 로고
    • Statistical models for images: Compression, restoration and synthesis
    • Washington, DC: IEEE Computer Society
    • Simoncelli, E. P. (1997). Statistical models for images: Compression, restoration and synthesis. In Proc 31st Asilomar Conf. on Signals, Systems and Computers (Vol. 1, pp. 673-678). Washington, DC: IEEE Computer Society.
    • (1997) Proc 31st Asilomar Conf. on Signals, Systems and Computers , vol.1 , pp. 673-678
    • Simoncelli, E.P.1
  • 70
    • 0034934777 scopus 로고    scopus 로고
    • Natural image statistics and neural representation
    • Simoncelli, E. P., & Olshausen, B. (2001). Natural image statistics and neural representation. Annual Review of Neuroscience, 24, 1193-1216.
    • (2001) Annual Review of Neuroscience , vol.24 , pp. 1193-1216
    • Simoncelli, E.P.1    Olshausen, B.2
  • 71
    • 0020427365 scopus 로고
    • Predictive coding: A fresh view of inhibition in the retina
    • Srinivasan, M. V., Laughlin, S. B., & Dubs, A. (1982). Predictive coding: A fresh view of inhibition in the retina. J. R. Soc. Lond. B, 216, 427-459.
    • (1982) J. R. Soc. Lond. B , vol.216 , pp. 427-459
    • Srinivasan, M.V.1    Laughlin, S.B.2    Dubs, A.3
  • 73
    • 0041529506 scopus 로고    scopus 로고
    • The multiinformation function as a tool for measuring stochastic dependence
    • M. I. Jordan (Ed.) Dordrecht: Kluwer
    • Studeny, M., & Vejnarova, J. (1998). The multiinformation function as a tool for measuring stochastic dependence. In M. I. Jordan (Ed.), Learning in graphical models (pp. 261-297). Dordrecht: Kluwer.
    • (1998) Learning in graphical models , pp. 261-297
    • Studeny, M.1    Vejnarova, J.2
  • 75
  • 76
    • 85162045775 scopus 로고    scopus 로고
    • Modeling natural sounds with modulation cascade processes
    • J. Platt, D. Koller, Y. Singer, & S. Roweis (Eds.), Cambridge, MA: MIT Press
    • Turner, R., & Sahani, M. (2008). Modeling natural sounds with modulation cascade processes. In J. Platt, D. Koller, Y. Singer, & S. Roweis (Eds.), Advances in neural information processing systems, 20. Cambridge, MA: MIT Press.
    • (2008) Advances in neural information processing systems , vol.20
    • Turner, R.1    Sahani, M.2
  • 77
    • 0348147433 scopus 로고    scopus 로고
    • Optimal coding through divisive normalization models of V1 neurons
    • Valerio, R., & Navarro, R. (2003). Optimal coding through divisive normalization models of V1 neurons. Network: Computation in Neural Systems, 14, 579-593.
    • (2003) Network: Computation in Neural Systems , vol.14 , pp. 579-593
    • Valerio, R.1    Navarro, R.2
  • 78
    • 0030247744 scopus 로고    scopus 로고
    • Modelling the power spectra of natural images: Statistics and information
    • van der Schaaf, A., & van Hateren, J. H. (1996). Modelling the power spectra of natural images: Statistics and information. Vision Research, 28(17), 2759-2770.
    • (1996) Vision Research , vol.28 , Issue.17 , pp. 2759-2770
    • van der Schaaf, A.1    van Hateren, J.H.2
  • 79
    • 0032495066 scopus 로고    scopus 로고
    • Independent component analysis of natural image sequences yields spatio-temporal filters similar to simple cells in primary visual cortex
    • van Hateren, J. H., & Ruderman, D. L. (1998). Independent component analysis of natural image sequences yields spatio-temporal filters similar to simple cells in primary visual cortex. Proc.R.Soc.Lond.B,265, 2315-2320.
    • (1998) Proc. R. Soc. Lond. B , vol.265 , pp. 2315-2320
    • van Hateren, J.H.1    Ruderman, D.L.2
  • 81
    • 0003280252 scopus 로고    scopus 로고
    • Natural image statistics and divisive normalization: Modeling nonlinearity and adaptation in cortical neurons
    • R. Rao, B. Olshausen, & M. Lewicki (Eds.), Cambridge, MA: MIT Press
    • Wainwright, M. J., Schwartz, O., & Simoncelli, E. P. (2002). Natural image statistics and divisive normalization: Modeling nonlinearity and adaptation in cortical neurons. In R. Rao, B. Olshausen, & M. Lewicki (Eds.), Probabilistic models of the brain: Perception and neural function (pp. 203-222). Cambridge, MA: MIT Press.
    • (2002) Probabilistic models of the brain: Perception and neural function , pp. 203-222
    • Wainwright, M.J.1    Schwartz, O.2    Simoncelli, E.P.3
  • 82
    • 84898965689 scopus 로고    scopus 로고
    • Scale mixtures of gaussians and the statistics of natural images
    • S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.), Cambridge, MA: MIT Press
    • Wainwright, M. J., & Simoncelli, E. P. (2000). Scale mixtures of gaussians and the statistics of natural images. In S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.), Advances in neural information processing systems, 12 (pp. 855-861). Cambridge, MA: MIT Press.
    • (2000) Advances in neural information processing systems , vol.12 , pp. 855-861
    • Wainwright, M.J.1    Simoncelli, E.P.2
  • 83
  • 84
    • 0031230645 scopus 로고    scopus 로고
    • A model of visual contrast gain control and pattern masking
    • Watson, A., & Solomon, J. (1997). A model of visual contrast gain control and pattern masking. J. Opt. Soc. Amer. A, 14, 2379-2391.
    • (1997) J. Opt. Soc. Amer. A , vol.14 , pp. 2379-2391
    • Watson, A.1    Solomon, J.2
  • 85
    • 17944388697 scopus 로고
    • Statistical dependence between orientation filter outputs used in an human vision based image code
    • Bellingham, WA: SPIE
    • Wegmann, B., & Zetzsche, C. (1990). Statistical dependence between orientation filter outputs used in an human vision based image code. In Proc. Visual Comm. and Image Processing (Vol. 1360, pp. 909-922). Bellingham, WA: SPIE.
    • (1990) Proc. Visual Comm. and Image Processing , vol.1360 , pp. 909-922
    • Wegmann, B.1    Zetzsche, C.2
  • 86
    • 0015662367 scopus 로고
    • A representation theorem and its applications to spherically-invariant random processes
    • Yao, K. (1973). A representation theorem and its applications to spherically-invariant random processes. IEEE Trans. on Information Theory, 19(9), 600-608.
    • (1973) IEEE Trans. on Information Theory , vol.19 , Issue.9 , pp. 600-608
    • Yao, K.1
  • 87
    • 0025193107 scopus 로고
    • Fundamental limits of linear filters in the visual processing of two-dimensional signals
    • Zetzsche, C., & Barth, E. (1990). Fundamental limits of linear filters in the visual processing of two-dimensional signals. Vision Research, 30, 1111-1117.
    • (1990) Vision Research , vol.30 , pp. 1111-1117
    • Zetzsche, C.1    Barth, E.2
  • 88
    • 0005343869 scopus 로고    scopus 로고
    • The atoms of vision: Cartesian or polar? J
    • Zetzsche, C., & Krieger, G. (1999). The atoms of vision: Cartesian or polar? J. Opt. Soc. Am. A, 16(7), 1554-1565.
    • (1999) Opt. Soc. Am. A , vol.16 , Issue.7 , pp. 1554-1565
    • Zetzsche, C.1    Krieger, G.2
  • 89
    • 0001355382 scopus 로고
    • Orientation selective filters lead to entropy reduction in the processing of natural images
    • Zetzsche, C., & Schönecker, W. (1987). Orientation selective filters lead to entropy reduction in the processing of natural images. Perception, 16, 229.
    • (1987) Perception , vol.16 , pp. 229
    • Zetzsche, C.1    Schönecker, W.2
  • 90
    • 0001128691 scopus 로고
    • Nonlinear aspects of primary vision: Entropy reduction beyond decorrelation
    • Campbell, CA: Society for Information Display
    • Zetzsche, C., Wegmann, B., & Barth, E. (1993). Nonlinear aspects of primary vision: Entropy reduction beyond decorrelation. In Intl. Symposium, Society for Information Display (Vol. 24, pp. 933-936). Campbell, CA: Society for Information Display.
    • (1993) Intl. Symposium, Society for Information Display , vol.24 , pp. 933-936
    • Zetzsche, C.1    Wegmann, B.2    Barth, E.3
  • 91
    • 33847767957 scopus 로고    scopus 로고
    • Theoretical understanding of the early visual processes by data compression and data selection
    • Zhaoping, L. (2006). Theoretical understanding of the early visual processes by data compression and data selection. Network: Computation in Neural Systems, 17(4), 301-334.
    • (2006) Network: Computation in Neural Systems , vol.17 , Issue.4 , pp. 301-334
    • Zhaoping, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.