The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

Quanta Imager Sensors provide photon detections at high frame rates, with negligible read-out noise, making them ideal for high-speed optical tracking. At the basic level of bit-planes or binary maps of photon detections, objects may present limited detail. However, through motion estimation and spatial reassignment of photon detections, the objects can be reconstructed with minimal motion arte...

It was recently noted that the dispersion relation for the magnons of planar N = 4 SYM can be identified with the Casimir of a certain deformation of the Poincaré algebra, in which the energy and momentum operators are supplemented by a boost generator J . By considering the relationship between J and su(2|2)⋉R2, we derive a q-deformed super-Poincaré symmetry algebra of the kinematics. Using th...

This work deals with the problem of automatically choosing the correct exposure (or integration) time for timeof-flight depth image capturing. We apply methods known from high dynamic range imaging to combine depth images taken with differing integration times in order to produce high quality depth maps. We evaluate the quality of these depth maps by comparing the performance in reconstruction ...

An efficient system that upsamples depth map captured by Microsoft Kinect while jointly reducing the effect of noise is presented. The upsampling is carried by detecting and exploiting the piecewise locally planar structures of the downsampled depth map, based on corresponding high-resolution RGB image. The amount of noise is reduced by accumulating the downsampled data simultaneously. By benef...

We use an optical centrifuge to align asymmetric top SO_{2} molecules by adiabatically spinning their most polarizable O-O axis. The effective centrifugal potential in the rotating frame confines the sulfur atoms to the plane of the laser-induced rotation, leading to the planar molecular alignment that persists after the molecules are released from the centrifuge. The periodic appearance of the...

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

the generalization of p-frame in banach spaces is considered in this paper. the concepts of an $tilde{x}$-frame and a system conjugate to $tilde{x}$-frame were introduced. analogues of the results on the existence of conjugate system were obtained. the stability of $tilde{x}$-frame having a conjugate system is studied.

Abstract Bessel, Bessel-Gauss, and Gaussian beams have widely been investigated in optics the paraxial approximation, under frame of a scalar wave theory. Such approximations can hardly be applied microwave/millimeter-wave range, where vectorial nature electromagnetic fields cannot neglected, experimental realizations for some these appeared only recently. In this work, we discuss generation th...

This paper considers the problem of tracking control of planar robot manipulators through visual servoing under uncertain knowledge of the robot and camera parameters for fixed-camera configuration. We designed a controller based on a passivity-based second order sliding mode approach which achieves finite time convergence of tracking errors specified in the screen coordinate frame by introduci...