Vol 62, No 8 (2017)

For a plane layer we have analytically shown that in the case of spatially separated magnetic field generation sources, waves with different frequencies dependent on the physical parameters of the sources (dynamo numbers) emerge in a celestial body. Each of the waves interacts mainly with its source, while the degree of mutual overlapping of the waves decreases with increasing distance between the sources.

A novel method for the reconstruction of disparity maps (DMs) with robust properties to nonideal registration conditions, reflections, and noise in stereo color image pairs has been substantiated for the first time. The novel approach proposes a scheme for image DM reconstruction where Jaccard distance metric is used as a proximity criterion in stereo image pair matching. A physical interpretation of the method that allows the quality of the formed DMs to be improved significantly is given. A processing block diagram has been developed in accordance with the novel approach. Simulations of the novel DM reconstruction method have shown an advantage of the proposed DM reconstruction scheme in terms of generally recognized criteria, such as the structural similarity index measure and the bad matching pixels, and when visually comparing the formed DMs.

The damage parameter is determined as the relative change in volume or density. It is considered that this parameter is an integral characteristic of the damage.

The integrability of certain classes of dynamic systems is shown on the tangent bundles to twodimensional manifolds. In this case, the force fields have the so-called variable dissipation and generalize the previously considered fields.

It is shown analytically and numerically that the kernel-independent fast multipole method provides the accuracy and computational complexity of the analytical method if circular (spherical in 3D) equivalent surfaces are used.

A practical extension of the similarity and dimensional theory to the case of several similarity parameters is proposed. On this basis, for galaxies an explanation is given for the empirical correlations noticed in the last quarter of the 20th century: the Tully–Fisher relation, the concept of a fundamental plane, etc. For galaxies, apart from the virial, there is another similarity parameter whose choice is arbitrary. Here, it is introduced in the simplest form for an empirical determination:Π₁ = U₀/U_d, U₀ is the observed velocity, the scale U_d = (GL)^1/5, where L is the object luminosity, G is the gravitational constant.