An elementary function that is now commonly referred to Gabor function, Gabor filter and Gabor wavelet was derived from uncertainty relation for information by Gabor to overcome the representation limit of Fourier analysis. Analyzing a signal by a Gabor filter in terms of convolution or spatial filtering, two pieces of information—phase and magnitude—can be obtained. In the paper, Gabor filter ...

Natural images are typically a composition of cartoon and texture structures. One common task is to separate such an image into two single images, one containing the cartoon part and the other containing the texture part. Recently, a powerful class of algorithms using sparse approximation and l1 minimization has been introduced to resolve this problem, and numerous inspiring empirical results h...

In practice Gabor wavelet is often applied to extract relevant features from a facial image. This wavelet is constructed using filters of multiple scales and orientations. Based on Gabor’s theory of communication, two methods are proposed to acquire initial features from 2D images that are Gabor wavelet and Log-Gabor wavelet. Theoretically the main difference between these two wavelets is Log-G...

We introduce a class of Gabor-type matrices and show that the product of two Gabor-type matrices is still a Gabor-type matrix possessing the same type. The key point is based on the fact that the multiplication of Gabor-type matrices can be converted into the \multiplication" of small block matrices. We propose an eecient algorithm, the specially devised block-multiplication. As an interesting ...

This paper deals with improving the time-frequency resolution of Doppler ultrasound spectroscopy, applied to blood flow analysis, by developing robust nonstationary spectrum estimation techniques based on Gabor filterbanks and multiband AM-FM demodulation that uses an instantaneous energy separation algorithm.