Abstract. A Weyl-Heisenberg frame for L(R) is a frame consisting of translates and modulates of a fixed function in L(R), i.e. (EmbTnag)m,n∈Z , with a, b > 0, and g ∈ L(R). In this paper we will give necessary and sufficient conditions for this family to form a tight WH-frame. This allows us to write down explicitly all functions g so that (EmbTnag) is an orthonormal basis for L (R). These resu...

FIELD-TO-FRAME TRANSCODING WITH SPATIAL AND TEMPORAL DOWNSAMPLING Susie J. Wee, John G. Apostolopoulos Hewlett-Pa kard Laboratories Palo Alto, CA USA Ni k Feamster Massa husetts Institute of Te hnology Cambridge, MA USA ABSTRACT We present an algorithm for trans oding high-rate ompressed bitstreams ontaining eldoded interla ed video to lower-rate ompressed bitstreams ontaining frameoded progres...

The process of describing an object's location relative to another object results in ambiguity. How do people handle this ambiguity? The present studies examined spatial language processing when use of different reference frames results in ambiguity. We investigated whether electrophysiological (ERP) measures of cognitive processing may elucidate underlying reference frame processing; in partic...

The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

Visual attention prioritizes information presented at particular spatial locations. These locations can be defined in reference frames centered on the environment or on the viewer. This study investigates whether incidentally learned attention uses a viewer-centered or environment-centered reference frame. Participants conducted visual search on a monitor laid flat on a tabletop. During trainin...

Spatial navigation is an essential human skill that is influenced by several factors. The present study investigates how gender, age, and cultural background account for differences in reference frame proclivity and performance in a virtual navigation task. Using an online navigation study, we recorded reaction times, error rates (confusion of turning axis), and reference frame proclivity (egoc...

A frame $L$ is called {it coz-dense} if $Sigma_{coz(alpha)}=emptyset$ implies $alpha=mathbf 0$. Let $mathcal RL$ be the ring of real-valued continuous functions on a coz-dense and completely regular frame $L$. We present a description of the socle of the ring $mathcal RL$ based on minimal ideals of $mathcal RL$ and zero sets in pointfree topology. We show that socle of $mathcal RL$ is an essent...

in this paper, we give a necessary condition for function in l^2with its dual to generate a dual shearlet tight frame with respect to admissibility.

The orthonormal basis generated by a wavelet of L(R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L(R) is called the multiwavelet packet basis. The concept of wavelet frame packet is also generalized...

3D SIFP (3 dimensional scale invariant features points) can embody the great changes in video both in spatial and temporal domain, which can assure the stability against spatial and temporal attacks. As a result, they enforce the robustness of video watermarking. In this paper, a novel video watermarking scheme exploiting 3D SIFP in DCT (Discrete Cosine Transform) domain is proposed. We establi...