Show Reference: "An Evaluation of the Two-Dimensional Gabor Filter Model of Simple Receptive Fields in Cat Striate Cortex"

An Evaluation of the Two-Dimensional Gabor Filter Model of Simple Receptive Fields in Cat Striate Cortex Journal of Neurophysiology, Vol. 58, No. 6. (1 December 1987), pp. 1233-1258 by Judson P. Jones, Larry A. Palmer
@article{jones-and-palmer-1987,
    abstract = {1. Using the two-dimensional ({2D}) spatial and spectral response profiles described in the previous two reports, we test Daugman's generalization of Marcelja's hypothesis that simple receptive fields belong to a class of linear spatial filters analogous to those described by Gabor and referred to here as {2D} Gabor filters. 2. In the space domain, we found {2D} Gabor filters that fit the {2D} spatial response profile of each simple cell in the least-squared error sense (with a simplex algorithm), and we show that the residual error is devoid of spatial structure and statistically indistinguishable from random error. 3. Although a rigorous statistical approach was not possible with our spectral data, we also found a Gabor function that fit the {2D} spectral response profile of each simple cell and observed that the residual errors are everywhere small and unstructured. 4. As an assay of spatial linearity in two dimensions, on which the applicability of Gabor theory is dependent, we compare the filter parameters estimated from the independent {2D} spatial and spectral measurements described above. Estimates of most parameters from the two domains are highly correlated, indicating that assumptions about spatial linearity are valid. 5. Finally, we show that the functional form of the {2D} Gabor filter provides a concise mathematical expression, which incorporates the important spatial characteristics of simple receptive fields demonstrated in the previous two reports. Prominent here are 1) Cartesian separable spatial response profiles, 2) spatial receptive fields with staggered subregion placement, 3) Cartesian separable spectral response profiles, 4) spectral response profiles with axes of symmetry not including the origin, and 5) the uniform distribution of spatial phase angles. 6. We conclude that the Gabor function provides a useful and reasonably accurate description of most spatial aspects of simple receptive fields. Thus it seems that an optimal strategy has evolved for sampling images simultaneously in the {2D} spatial and spatial frequency domains.},
    address = {Department of Anatomy, University of Pennsylvania School of Medicine, Philadelphia 19104-6058.},
    author = {Jones, Judson P. and Palmer, Larry A.},
    day = {1},
    issn = {0022-3077},
    journal = {Journal of Neurophysiology},
    keywords = {gabor-filters, visual, visual-processing},
    month = dec,
    number = {6},
    pages = {1233--1258},
    pmid = {3437332},
    posted-at = {2013-03-19 10:31:19},
    priority = {2},
    title = {An Evaluation of the {Two-Dimensional} Gabor Filter Model of Simple Receptive Fields in Cat Striate Cortex},
    url = {http://jn.physiology.org/cgi/content/abstract/58/6/1233},
    volume = {58},
    year = {1987}
}

See the CiteULike entry for more info, PDF links, BibTex etc.

Certain receptive fields in the cat striate cortex can be modeled reasonably well using linear filters, more specifically Gabor filters.