The Generalized Gabor Scheme of Image Representation in Biological and Machine Vision

@article{Porat1988TheGG,
  title={The Generalized Gabor Scheme of Image Representation in Biological and Machine Vision},
  author={Moshe Porat and Yehoshua Y. Zeevi},
  journal={IEEE Trans. Pattern Anal. Mach. Intell.},
  year={1988},
  volume={10},
  pages={452-468}
}
  • M. PoratY. Zeevi
  • Published 1 July 1988
  • Computer Science
  • IEEE Trans. Pattern Anal. Mach. Intell.
A scheme suitable for visual information representation in a combined frequency-position space is investigated through image decomposition into a finite set of two-dimensional Gabor elementary functions (GEF). The scheme is generalized to account for the position-dependent Gabor-sampling rate, oversampling, logarithmic frequency scaling and phase-quantization characteristic of the visual system. Comparison of reconstructed signal highlights the advantages of the generalized Gabor scheme in… 
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References

SHOWING 1-10 OF 50 REFERENCES

Computer Image Generation Using Elementary Functions Matched to Human Vision

Visual representation in biological visual systems appears to be accomplished by a scheme of image decomposition into a finite set of localized operators which resemble the form of Gabor Elementary…

Visual sensitivity to two-dimensional spatial phase.

We investigate some limits to phase processing in the human visual system with two-dimensional textured images. Results indicate that, although phase sensitivity increases with contrast and energy…

Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters.

  • J. Daugman
  • Physics
    Journal of the Optical Society of America. A, Optics and image science
  • 1985
Evidence is presented that the 2D receptive-field profiles of simple cells in mammalian visual cortex are well described by members of this optimal 2D filter family, and thus such visual neurons could be said to optimize the general uncertainty relations for joint 2D-spatial-2D-spectral information resolution.

Visual cortical neurons as localized spatial frequency filters

The receptive field properties of neurons in the primary visual cortex, i.e. the striate cortex, are related to current issues in spatial visual information processing to consider two adjacent simple cell pairs as operating like paired Gaussian-attenuated sine and cosine filters of Gabor filters for restricted regions of visual space.

Two-dimensional spectral analysis of cortical receptive field profiles

Sampling theorem for the complex spectrogram, and Gabor's expansion in Gaussian elementary signals

The complex spectrogram of a signal is defined as the Fourier transform of the product of the signal and the shifted and complex conjugated version of a so-called window function; it is thus a…

The Laplacian Pyramid as a Compact Image Code

A technique for image encoding in which local operators of many scales but identical shape serve as the basis functions, which tends to enhance salient image features and is well suited for many image analysis tasks as well as for image compression.

Encoding of spatial frequency, orientation, and contrast in striate cortex

Electrophysiological and anatomical evidence from monkeys indicates that the striate cortex is broken up into some 1500 modules, each containing cells which process information from a limited part of the visual field which overlaps to a varying extent with the cells in neighboring modules.

Reorganization and diversification of signals in vision

It is concluded that the striate cortex performs many simultaneous functional mappings, or nonuniform processing, in the retino-cortical mapping.

A Theory for Invariant Object Recognition in the Frontoparallel Plane

We suggest a new computational theory for position, size, and orientation invariant recognition of planar gray-scale forms in frontoparallel view. The theory employs a spatial-frequency…