In this paper, we present a new algorithm that adaptively selects the best possible reference frame for the predictive coding of generalized, or multi-view, video signals, based on estimated prediction similarity with the desired frame. We define similarity between two frames as the absence of occlusion, and we estimate this quantity from the variance of composite displacement vector maps. The ...

We study a generalized superconformal model that gives rise to subcritical regime of $D$-term hybrid inflation. Exhibiting the both in Jordan frame and Einstein frame, effective potential is derived frame. It turns out inflaton-waterfall field dynamics leads various types inflaton potential. Consequently tensor-to-scalar ratio found range from $10^{-4}$ ($10^{-3}$) $0.1$ for getting 60 (50) $e$...

The aim of this paper is to present a new framework for regularization by diffusion. The methods we develop in the sequel can be used to smooth nD images, nD videos, vector fields and orthonormal frame fields in any dimension.1 From a mathematical viewpoint, we deal with vector bundles over Riemannian manifolds and socalled generalized Laplacians. Sections are regularized from heat equations as...

In this paper we generalize the method of sweeping, which may be used for both object representation and object visualization, to objects in E 4. The generalized sweeping method involves a trajectory in E 4 , and a three-dimensional cross-section orthogonal to the trajectory. Three alternatives are considered for specifying the relationship between the trajectory and the cross-section, namely t...

The local trace function introduced in [Dut] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame wavelets is given. Particular instances of the construction include normalized tight frame and orthonormal wavelet sets.

This informal note presents generalized versions of the higherorder frame and anti-frame rules. The main insights reside in two successive generalizations of the “tensor” operator ⊗. In the first step, a form of “local invariant”, which allows implicit reasoning about “well-bracketed state changes”, is introduced. In the second step, a form of “local monotonicity” is added.

partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...