The pseudo-polar Fourier transform is a specialized non-equally spaced Fourier transform, which evaluates the Fourier transform on a near-polar grid, known as the pseudo-polar grid. The advantage of the pseudo-polar grid over other non-uniform sampling geometries is that the transformation, which samples the Fourier transform on the pseudo-polar grid, can be inverted using a fast and stable alg...

Given the samples {f(xj) : j ∈ J} of a function f belonging to a shift invariant subspace of Lp(IR), we give a fast reconstruction algorithm that allows the exact reconstruction of f , as long as the sampling set X = {xj : j ∈ J} is sufficiently dense.

The pseudo-polar Fourier transform is a specialized nonequally spaced Fourier transform, which evaluates the Fourier transform on a near-polar grid known as the pseudo-polar grid. The advantage of the pseudo-polar grid over other nonuniform sampling geometries is that the transformation, which samples the Fourier transform on the pseudo-polar grid, can be inverted using a fast and stable algori...

In this paper we present a functional Bayesian method for detecting genes which are temporally differentially expressed between several conditions. We identify the nature of differential expression (e.g., gene is differentially expressed between the first and the second sample but is not differentially expressed between the second and the third) and subsequently we estimate gene expression temp...

Facing the competing demands for wider field of view and higher spatial resolution, computer vision will evolve toward greater use of fovea1 sensors and frequent camera movements. Integration of visual information across movements becomes a fundamental problem. We show that integration is possible using a biologically-inspired representation we call the visual-motor calibration map. The map is ...

Nonuniform Phased Sampling method is proposed to phase-only synthesize the power pattern of both linear and planar antenna arrays. This method modifies the conventional sampling method which is used for amplitude-phase synthesis. This method is based on assigning suitable phases to the sampling points of radiation pattern in order to reach desired amplitude of currents. Some examples are given ...