Representation of local geometry in the visual system
Biological Cybernetics
Multichannel Texture Analysis Using Localized Spatial Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unsupervised texture segmentation using Gabor filters
Pattern Recognition
Texture Features for Browsing and Retrieval of Image Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Representation Using 2D Gabor Wavelets
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Frequency Structure of One-Dimensional Occluding Image Signals
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatio-Temporal Image Processing: Theory and Scientific Applications
Spatio-Temporal Image Processing: Theory and Scientific Applications
Measurement of Image Velocity
Skewness of Gabor Wavelets and Source Signal Separation
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
Steerable wedge filters for local orientation analysis
IEEE Transactions on Image Processing
Approximate orientation steerability based on angular Gaussians
IEEE Transactions on Image Processing
Skewness of Gabor Wavelets and Source Signal Separation
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
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Responses of Gabor wavelets in the mid-frequency space build a local spectral representation scheme with optimal properties regarding the time-frequency uncertainty principle. However, when using Gabor wavelets we observe a skewness in the mid-frequency space caused by the spreading effect of Gabor wavelets. Though in most current applications the skewness does not obstruct the sampling of the spectral domain, it affects the identification and separation of source signals from the filter response in the mid-frequency space. In this paper, we present a modification of the original Gabor filter, the skew Gabor filter, which corrects skewness so that the filter response can be described with a sum-of-Gaussians model in the mid-frequency space. The correction further enables us to use higher-order moment information to separate different source signal components. This provides us with an elegant framework to deblur the filter response which is not characterized by the limited spectral resolution of other local spectral representations.