This work shows the use of a two-dimensional Gabor wavelets in image processing. Convolution with such a two-dimensional wavelet can be separated into two series of one-dimensional ones. The key idea of this work is to utilize a Gabor wavelet as a multiscale partial differential operator of a given order. Gabor wavelets are used here to detect edges, corners and blobs. A performance of such an ...

Gabor-based Face representation has achieved great success in face recognition, while whether and how it can be applied to face detection is rarely studied. This paper originally investigates the Gabor feature based face detection method, and proposes a coarse-to-fine hierarchical face detector combining the high efficiency of Harr features and the excellent discriminating power of the Gabor fe...

We investigate a new representation of general operators by means of sums of shifted Gabor multipliers. These representations arise by studying the matrix of an operator with respect to a Gabor frame. Each shifted Gabor multiplier corresponds to a side-diagonal of this matrix. This representation is especially useful for operators whose associated matrix possesses some offdiagonal decay. In thi...

A novel scheme for texture segmentation is presented. Our algorithm is based on generalizing the intensity-based geodesic active contours model to the Gabor spatial-feature space of images. First, we apply the Gabor-Morlet transform to the image using self similar Gabor functions, and then implement the geodesic active snakes mechanism in this space. The spatial-feature space is represented, vi...

Title of dissertation: GABOR FRAMES FOR QUASICRYSTALS AND K-THEORY Michael Kreisel, Doctor of Philosophy, 2015 Dissertation directed by: Professor Jonathan Rosenberg Department of Mathematics We study the connection between Gabor frames for quasicrystals, the topology of the hull ΩΛ of a quasicrystal Λ and the K-theory of an associated twisted groupoid algebra. In particular, we construct a fin...

By sampling the window of a Gabor frame for L(R) belonging to Feichtinger’s algebra, S0(R), one obtains a Gabor frame for l(Z). In this article we present a survey of results by R. Orr and A.J.E.M. Janssen and extend their ideas to cover interrelations among Gabor frames for the four spaces L(R), l(Z), L([0, L]) and C. Some new results about general dual windows with respect to sampling and per...

We characterize L norms of functions on R for 1 < p < ∞ in terms of their Gabor coefficients. Moreover, we use the Carleson-Hunt theorem to show that the Gabor expansions of L functions converge to the functions almost everywhere and in L for 1 < p < ∞. In L we prove an analogous result: the Gabor expansions converge to the functions almost everywhere and in L in a certain Cesàro sense. Consequ...

Gabor features have been proposed for extracting spectro-temporal modulation information, and yielding significant improvements in recognition performance. In this paper, we propose the integration of Gabor posteriors with MFCC posteriors, yielding a relative improvement of 14.3% over an MFCC Tandem system. We analyze for different types of acoustic units the complementarity between Gabor featu...

Gabor Karsai, Gautam Biswas, Sriram Narasimhan, Tal Pasternak, and Tivadar Szemethy Institute for Software Integrated Systems Vanderbilt University PO Box 1829 Station B Nashville, TN 37235,USA {gabor,biswas,nsriram,tal.pasternak,tivadar}@vuse.vanderbilt.edu Gabor Peceli, Gyula Simon, and Tamas Kovacshazy Department of Measurement and Information Systems Technical University of Budapest, H-1521...

Surface reflection can be used as one quality assurance procedure to inspect the defects, cracking, and other irregularities occurring on a polished surface. In this paper, we present a novel approach to the detection of defects based on analysis of surface reflection images. In this approach, the surface image is analyzed using texture analysis based on Gabor-filtering. Gabor-filters can be us...