This work presents a quantitative framework for describing the overcompleteness of a large class of frames. It introduces notions of localization and approximation between two frames F = {fi}i∈I and E = {ej}j∈G (G a discrete abelian group), relating the decay of the expansion of the elements of F in terms of the elements of E via a map a : I → G. A fundamental set of equalities are shown betwee...

In part II of this group of papers, the control of the gait of a biped robot during rectilinear walk was considered. The modeling approach and simulation, using Kane’s method with implementation leveraged by Autolev, a symbolic computational environment that is complementary, was discussed in part I. Performing turns during the walk is technically more complex than the rectilinear case and dese...

In the upcoming polarized beam Hall A experiment the polarization of a detected proton (or deuteron) is measured in the Focal Plane Polarimeter (FPP) installed in the detector stack of the left HRS. As the name implies the FPP measures the polarization components of the detected particle in the focal plane using the coordinate system of the FPP (see 2.4). The physics observables, however are ca...

We study the distribution of long Gamma Ray Bursts in the Epeak − Eiso and in the E peak– Fluence planes through an updated sample of 76 bursts, with measured redshift and spectral parameters, detected up to September 2007. We confirm the existence of a strong rest frame correlation Epeak ∝ E 0.54±0.01 iso . Contrary to previous studies, no sign of evolution with redshift of the Epeak − Eiso co...

Video mosaicing methods have been widely used for capturing high resolution document images with low resolution video cameras [1, 2]. In these methods, given a video where partial images of the target document are captured in each frame, pairwise registrations between two successive images are estimated, then, by warping all the images to a reference frame (in general, the first frame), a high ...

We present high-resolution imaging in the rest-frame optical of the weak radio source LBDS53W091. Previous optical spectroscopy has shown that this object has an evolved stellar population of age > 3Gyr at z = 1.55, determined from the amplitude of rest-frame UV spectral breaks. We have obtained deep Hubble Space Telescope imaging over 10 orbits with NICMOS camera 2, using the F160W H-band filt...

Motion estimation (ME) using bit-plane matching (BPM) algorithm has been proposed. The bit-plane matching algorithm transforms original images into bit-planes and performs a fast block matching process using the bit-planes. Two-bit transform (2BT) transforms an image frame into two bit planes with local window mean and variance values as threshold values. Constrained two-bit transform (C2BT) wa...

We characterize all of the ways to represent the wheel matroids and whirl matroids using frame matroids of signed graphs. The characterization of wheels is in terms of topological duality in the projective plane and the characterization of whirls is in terms of topological duality in the annulus.

The design of a CCD image half-toner integrated monolithically on the focal plane with a 256 X 256 frame transfer imager is reported and the algorithm used is discussed. The imager/half-toner chip is projected to achieve a throughput of 30 frames per second.

This paper examines the estimation of the state of an object moving in the horizontal plane using two, two-axis accelerometers and no rate gyro. Second order approximations are developed for estimating the state noise covariance in the inertial reference frame from the known measurement covariance of the sensors. These approximations can be integrated with position and heading measurements into...