Modern media data such as 360° videos and light field (LF) images are typically captured in much higher dimensions than the observers’ visual displays. To efficiently browse high-dimensional media, a navigational streaming model is considered: client navigates space by dictating navigation path to server, who response transmits corresponding pre-encoded units (MDU) one-by-one sequence. Assuming...

We investigate the existence and stability of three-dimensional solitons supported by cylindrical Bessel lattices in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian versus norm diagram has a sw...

In this paper, an experimental-theoretical method is suggested for defining physical-mechanical characteristics of polymer materials with regard to influence of corrosive liquid media. Experimental dependences of mechanical characteristics on a swelling function are given for a series of polymer materials. One dimensional and three-dimensional linear-elastic models of body deformation with rega...

Digital media tend to combine text and images to express richer information, especially on image hosting and online shopping websites. This trend presents a challenge in understanding the contents from different forms of information. Features representing visual information are usually sparse in high dimensional space, which makes the learning process intractable. In order to understand text an...

This paper focuses on realistic ray-tracing rendering of scenes which integrate participating media. We work on the temperature sensitive index of refraction, in order to deflect the rays' path and thus visualize a scene through heat. We can also visualize three-dimensional convective motions, under the shape of fumes. In this respect, we suggest to solve the NS (Navier-Stokes) equations throug...

We experimentally observe the spatial intensity statistics of light transmitted through three-dimensional (3D) isotropic scattering media. The intensity distributions measured through layers consisting of zinc oxide nanoparticles differ significantly from the usual Rayleigh statistics associated with speckle and instead are in agreement with the predictions of mesoscopic transport theory, takin...

We develop an efficient spectral-element method for computing the transmission eigenvalues in two-dimensional radially stratified media. Our method is based on a dimension reduction approach which reduces the problem to a sequence of one-dimensional eigenvalue problems that can be efficiently solved by a spectral-element method. We provide an error analysis which shows that the convergence rate...

We show that surface electromagnetic waves (SEMWs) propagating along two-dimensional (2D) interfaces separating different metamaterials can behave analogously to 3D electromagnetic waves in either usual or left-handed media, depending on the permeabilities and/or permittivities of the two materials forming the interface. We derive the conditions when SEMWs carry energy opposite to the phase vel...

Excitable media support circulating waves on a one-dimensional ring. Continuity arguments, developed originally for resetting limit cycle oscillations in finite-dimensional dynamical systems, suggest that there must exist a range of phases and amplitudes for perturbations of the reentrant wave that lead to its annihilation. The annihilation is illustrated in the Fitzhugh-Nagumo equation of exci...

A two-dimensional (2-D) array of electronic circuits is used to simulate the typical autowaves experimentally found in various active media (target and spiral waves). This experimental setup allows us to obtain some of the phenomena previously described in continuous media, but with a complete control on each cell and on the connections among them.