Image Representation Using 2D Gabor Wavelets

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Image Representation Using 2D Gabor Wavelets (1996)

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by Tai Sing Lee

Venue:	IEEE Trans. Pattern Analysis and Machine Intelligence
Citations:	374 - 4 self

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@ARTICLE{Lee96imagerepresentation,
    author = {Tai Sing Lee},
    title = {Image Representation Using 2D Gabor Wavelets},
    journal = {IEEE Trans. Pattern Analysis and Machine Intelligence},
    year = {1996},
    volume = {18},
    pages = {959--971}
}

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Abstract

This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional wavelets, and it computes the frame bounds for the particular case of 2D Gabor wavelets. Completeness criteria for 2D Gabor image representations are important because of their increasing role in many computer vision applications and also in modeling biological vision, since recent neurophysiological evidence from the visual cortex of mammalian brains suggests that the filter response profiles of the main class of linearly-responding cortical neurons (called simple cells) are best modeled as a family of self-similar 2D Gabor wavelets. We therefore derive the conditions under which a set of continuous 2D Gabor wavelets will provide a complete representation of any image, and we also find self-similar wavelet parameterizations which allow stable reconstruction by summation as though the wavelets formed an orthonormal basis. Approximating a "tight frame" generates redundancy which allows low-resolution neural responses to represent high-resolution images, as we illustrate by image reconstructions with severely quantized 2D Gabor coefficients. Index Terms---Gabor wavelets, coarse coding, image representation, visual cortex, image reconstruction.

Keyphrases

gabor wavelet image representation using image reconstruction visual cortex index term gabor wavelet gabor coefficient increasing role main class stable reconstruction recent neurophysiological evidence mammalian brain frame criterion filter response profile low-resolution neural response many computer vision application tight frame biological vision coarse coding gabor image representation one-dimensional wavelet orthonormal basis high-resolution image linearly-responding cortical neuron completeness criterion complete representation particular case self-similar wavelet parameterizations image representation

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