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Том 62, № 8 (2017)
- Год: 2017
- Статей: 9
- URL: https://journals.rcsi.science/1028-3358/issue/view/12045
Physics
Generation of magnetic field waves in celestial bodies by spatially separated sources
Аннотация
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.
371-373
Technical Physics
A robust method for the reconstruction of disparity maps based on multilevel processing of stereo color image pairs
Аннотация
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.
374-378
Complex noise suppression using a sparse representation and 3D filtering of images
Аннотация
A novel method for the filtering of images corrupted by complex noise composed of randomly distributed impulses and additive Gaussian noise has been substantiated for the first time. The method consists of three main stages: the detection and filtering of pixels corrupted by impulsive noise, the subsequent image processing to suppress the additive noise based on 3D filtering and a sparse representation of signals in a basis of wavelets, and the concluding image processing procedure to clean the final image of the errors emerged at the previous stages. A physical interpretation of the filtering method under complex noise conditions is given. A filtering block diagram has been developed in accordance with the novel approach. Simulations of the novel image filtering method have shown an advantage of the proposed filtering scheme in terms of generally recognized criteria, such as the structural similarity index measure and the peak signal-to-noise ratio, and when visually comparing the filtered images.
379-383
Mechanics
384-386
387-391
392-396
Polynomial integrals of mechanical systems on a torus with a singular potential
Аннотация
The problem on integrability of the equations of motion of a material point on an n-dimensional Euclidean torus under the action of a force field with the potential energy having singularities at a finite number of points is considered. It is assumed that these singularities contain logarithmic coefficients and, consequently, have a more general form in comparison with power features. The potentials having power-type singularities were considered previously by V.V. Kozlov and D.V. Treshchev. In this work, it is proved that the equations of motion in the problem under consideration admit no nontrivial momentum-polynomial first integral with integrable coefficients on this torus.
397-399
400-402
Astronomy, Astrophysics, Cosmology
Similarity and dimensional theory for galaxies: Explanation of long-known results of observations
Аннотация
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/Ud, U0 is the observed velocity, the scale Ud = (GL)1/5, where L is the object luminosity, G is the gravitational constant.
403-406