A reference frame F is described by the element g of the Poincaré group P which connects F with a given fixed frame F 0. If F is a quantum frame, defined by a physical object following the laws of quantum physics, the parameters of g have to be considered as quantum observables. However, these observables are not compatible and some of them, namely the coordinates of the origin of F , cannot be...

Video object detection is challenging in the presence of appearance deterioration certain video frames. Therefore, it a natural choice to aggregate temporal information from other frames same into current frame. However, ROI Align, as one most core procedures detectors, still remains extracting features single-frame feature map for proposals, making extracted lack videos. In this work, consider...

Using the methods of moving frames, we study real hypersurfaces in complex projective space CP and complex hyperbolic space CH whose structure Jacobi operator has various special properties. Our results complement work of several other authors who worked in CPn and CHn for n ≥ 3.

In realistic simulation of mobile Augmented Reality, essential point is how to best depict occluded area in such a way that the user can correctly infer the depth relationships between real and virtual objects. However, if the constructed 3D map of real world is not accurate or the density is not sufficient to estimate the object boundary, it is very difficult to determine the occluded area. In...

This paper proposes an algebra T (T,≻) which can be used to express kinematic transformations in chains of frames that move in threedimensional space. The algebraic structure of T will be discussed end the most relevant properties will be presented. This algebra can be translated into a set of algorithms that fit well into a compact formalism, by exploiting the operator-overloading feature of m...

Abstract In this work, we analyze Gabor frames for the Weyl--Heisenberg group and wavelet extended affine group. Firstly, give necessary sufficient conditions existence of nonstationary translates. Using these conditions, prove from We present a representation functions in closure linear span frame sequence terms Fourier transform window functions. show that canonical dual translates has same s...

The purpose of the paper is to analyze g-frames form \(\{\varphi T^{i} \in B(\mathcal {H},\mathcal {K})\}_{i=0}^\infty \), where \(T\in {H})\) and \(\varphi {K})\), discuss properties operator T. We consider stability g-Riesz sequences \). Finally, a weighted representation g frame introduced some its are presented. provide sufficient condition for given g-frame \(\Lambda =\{\Lambda _{i}\in {B(...

Recently, a new fractional derivative operator has been introduced so that it presents the combination of Riemann–Liouville integral and Caputo derivative. This paper aims to enhance reproducing kernel Hilbert space method (RKHSM, for short) solving certain differential equations involving this is first time application RKHSM employed some with operator. We illustrate convergence analysis appli...

Since their discovery in 1927, the Heisenberg Inequalities have become an icon of quantum mechanics [1]. Often inappropriately referred to as the Uncertainty Principle, these inequalities relating the standard deviations of the position and momentum observables to Planck’s constant are one of the cornerstones of the quantum formalism even if the physical interpretation of quantum mechanics rema...