This work develops a quantitative framework for describing the overcompleteness of a large class of frames. A previous article introduced 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. This article shows that those ab...

Accurate 3D surface models in urban areas are essential for a variety of applications, such as visualization, GIS, and mobile communications. Since manual surface reconstruction is very costly and time consuming, the development of automated algorithms is of great importance. On the other hand LIDAR data is a relatively new technology for obtaining Digital Surface Models (DSM) of the earth’s su...

1. Image processing based position estimation for axial dimension 2. Kalman-filter based position estimation in the transverse plane 3. Details on microfluidic cell fabrication 4. SI Figure 1. Selected image frames obtained using sCMOS camera together with the corresponding binary transformation used to estimate particle axial position 5. SI Figure 2. Photograph of the transverse plane microflu...

The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames  which is important for frame applications, have been specified  completely for the c...

In this article, we consider pair frames in Banach spaces and   introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as   special kinds of (Banach) pair frames.  Some frame-like inequalities  for (Banach)  pair frames are presented. The elements that participant  in the construction of (Ba...

In this work, we propose APLASIA, an holistic architecture with a radical design. Aiming at simplifying the inner network devices (and so their cost), we tradeoff node architectureand algorithmic-complexity for an increased (but tunable) communication cost. The main ingredients of our recipe are (i) the use of complete paths directly in the frames header, that allows core devices to perform dat...

This paper focus on the analysis of the navigation task in a 3D virtual tunnel. We localized the neural structures responsible for egocentric and allocentric reference frame processing in horizontal and vertical plane and also analyzed specific segments of the tunnel traverse. We identified intrahemispheric coherences in occipital-parietal and temporalparietal areas as the most discriminative f...

In many cases, radio-frequency catheter ablation of the pulmonary veins attached to the left atrium still involves fluoroscopic image guidance. Two-dimensional X-ray navigation may also take advantage of overlay images derived from static pre-operative 3D volumetric data to add anatomical details otherwise not visible under X-ray. Unfortunately, respiratory motion may impair the utility of stat...

Gabor frames for signals over finite Abelian groups, generated by an arbitrary lattice within the finite time-frequency plane, are the central topic of this paper. Our generic approach covers both multi-dimensional signals as well as non-separable lattices, and in fact the multi-window case as well. Our generic approach includes most of the fundamental facts about Gabor expansions of finite sig...