Two-dimensional (2-D) mesh-based motion compensation preserves neighboring relations (through connectivity of the mesh) as well as allowing warping transformations between pairs of frames; thus, it effectively eliminates blocking artifacts that are common in motion compensation by block matching. However, available 2-D mesh models, whether uniform or non-uniform, enforce connectivity everywhere...

We consider the problem of testing for the presence (or detection) of an unknown sparse signal in additive white noise. Given a fixed measurement budget, much smaller than the dimension of the signal, we consider the general problem of designing compressive measurements to maximize the measurement signal-to-noise ratio (SNR), as increasing SNR improves the detection performance in a large class...

In this work, we give a description of the process of teleportation between Alice in an inertial frame, and Rob who is in uniform acceleration with respect to Alice. The fidelity of the teleportation is reduced due to Davies-Unruh radiation in Rob's frame. In so far as teleportation is a measure of entanglement, our results suggest that quantum entanglement is degraded in noninertial frames.

In this article we introduce the notion of J-Parseval fusion frames in a Krein space K and characterize 1-uniform J-Parseval fusion frames with ζ = √ 2. We provide some results regarding construction of new J-tight fusion frame from given J-tight fusion frames. We also characterize an uniformly J-definite subspace of a Krein space K in terms of J-fusion frame. Finally we generalize the fundamen...

We introduce transformations between hypersequent rules with context restrictions and Hilbert axioms extending classical (and intuitionistic) propositional logic and vice versa. The introduced rules are used to prove uniform cut elimination, decidability and complexity results as well as finite axiomatisations for many modal logics given by simple frame properties. Our work subsumes many logic-...

We extend ideas from compressive sensing to a structured sparsity model related to fusion frames. We present theoretical results concerning the recovery of sparse signals in a fusion frame from undersampled measurements. We provide both nonuniform and uniform recovery guarantees. The novelty of our work is to exploit an incoherence property of the fusion frame which allows us to reduce the numb...

This paper provides theoretical guarantees for the recovery of signals from undersampled measurements based on `1-analysis regularization. We provide both nonuniform and stable uniform recovery guarantees for Gaussian random measurement matrices when the rows of the analysis operator form a frame. The nonuniform result relies on a recovery condition via tangent cones and the case of uniform rec...

If an observer, at rest (in flat spacetime) between a pair of mirrors each at distance D but in opposite directions, emits two pulses of light simultaneously they return to the observer simultaneously after time 2D/c, where c is the speed of light. Discuss the case that the observer and mirrors have uniform acceleration (with respect to the inertial lab frame) along their common line. Compare w...

This paper studies the problem of highly deformable generalized cylinders real-time rendering. Some efficient schemes for high axis curvature detection are presented, as well as an incremental non-uniform sampling process. We also show how the recent 3D card ”skinning” feature, classical in character animation, can be derived in order to allow for very high frame-rate when rendering such genera...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...