The well-known density theorem for one-dimensional Gabor systems of the form (e2Jl'imbx g(x-na)}m,nEZ, where g E L2(JR), states that a necessary and sufficient condition for the existence of such a systemwhQse linear span is dense in L2(R), or which forms a frame for L2(R), is that the density condition a b :s I is satisfied. The main goal of this paper is to study the analogous problem for Gab...

Minutiae-based matching techniques have been widely used in the implementation of multiple enrollment fingerprint recognition systems. However, these techniques suffer the difficulty of automatically extracting all minutiae points due to failure to detect the complete ridge structures of a fingerprint. With poor quality fingerprint images, detection of minutiae points as well as describing all ...

To study the spatial extent and shape of the binocular disparity mechanisms subserving depth perception, we employ the spatial summation paradigm of contrast threshold for front/back depth discrimination at a fixed binocular disparity. The stimuli were Gabor patches with disparity set at either 4 or 8 arcmin and spatial frequency set at an optimal value of 4 cy/deg. Contrast threshold was measu...

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...

We propose an online palmprint identification and verification algorithm with the use of kernel Fisher discriminant analysis (KFD) on the Gabor wavelet representation of palm images. Desirable palm features are derived by Gabor wavelets on the palm region. The KFD method is then employed to extract higher order relations among the Gabor-palm images for palmprint recognition. As a real-world app...

Sparsity-driven image recovery methods assume that images of interest can be sparsely approximated under some suitable system. As discontinuities of 2D images often show geometrical regularities along image edges with different orientations, an effective sparsifying system should have high orientation selectivity. There have been enduring efforts on constructing discrete frames and tight frames...

A novel face recognition algorithm based on Gabor texture information is proposed in this paper. Two strategies to capture it are Gabor Magnitude-based Texture Representation (GMTR) which is characterized by using the Gamma density to model the Gabor magnitude distribution and Gabor Phase-based Texture Representation (GPTR), characterized by using the Generalized Gaussian Density (GGD) to model...