We discuss various novel features of $n(\ensuremath{\ge}4)$-dimensional spacetimes sourced by a massless (non)phantom scalar field in general relativity. Assuming that the metric is warped product static two-dimensional Lorentzian spacetime and an ($n\ensuremath{-}2$)-dimensional Einstein space ${K}^{n\ensuremath{-}2}$ with curvature $k=0,\ifmmode\pm\else\textpm\fi{}1$, depends only on radial v...

This paper proposes a method for key−frame selec−tion of captured motion data. Motion capture systems have been widely used in CG amusement and human motion analysis such as games and athlete training. For manipulation, retrieval and transmission, the compact motion is often required. Key−framing is often used to express CG animation with a compact set of frames. In general, the animation is de...

Frames have become standard tools in signal processing due to their robustness to transmission errors and their resilience to noise. Equiangular tight frames (ETFs) are particularly useful and have been shown to be optimal for transmission under a certain number of erasures. Unfortunately, ETFs do not exist in many cases and are hard to construct when they do exist. However, it is known that an...

This paper presents an algebraic approach of some many-valued generalizations of modal logic. The starting point is the de nition of the [0, 1]-valued Kripke models, where [0, 1] denotes the well known MV-algebra. Two types of structures are used to de ne validity of formulas: the class of frames and the class of Šn-valued frames. The latter structures are frames in which we specify in each wor...

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The equivariant method of moving frames is used to specify systems of generating differential invariants for finite-dimensional Lie group actions.

This paper introduces a new, fully recursive algorithm for computing moving frames and differential invariants of Lie pseudo-group actions. The recursive method avoids unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method. The development leads to novel results on partial moving frames, structure equations, and new differe...

Coded Video Tra c Hai Liu, Nirwan Ansari, and Yun-Qing Shi Abstract: Self-similar processes, modulated according to the MPEG frame structure, are proposed to capture both the SRD (short range dependency) and LRD (long range dependency) of MPEG video tra c. Introduction: Tra c generated by video applications is increasingly cramming existing networks, and it is thus essential to accurately chara...

This paper extends hyperkähler Floer theory with flat target manifolds from the case where the source is a 3-sphere or 3-torus, equipped with a standard frame, to the case where the source is a general closed orientable 3-manifold, equipped with a regular divergence-free frame. Regular divergence-free frames are characterized by the nonexistence of nonconstant solutions to the unperturbed linea...