Finding Correspondences Between Images using Descriptors and Graphs

AbstractThe problem of finding correspondences is considered in the article. The main objective of this method is to reduce the number of false matches by using structural performance. The relevance of the problem is proven. The review of existing methods of finding correspondences is provided. The method presented is finding correspondences based on combined use of graphs and descriptors. Scott and Longuet-Higgins algorithm is used in the first stage. We construct a graph the vertices of which are the features on the two images. Singular value decomposition of the graph matrix is performed. The correspondences based on the descriptor are used. An example of the algorithm is shown. Test images are researched. A comparison of the algorithm with the RANSAC is carried out. The proposed approach allows excluding a significant portion of false correspondences found using the existing descriptors. The algorithm has high speed

Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation

We present the q-deformed multivariate hypergeometric functions related to Schur polynomials as tau-functions of the KP and of the two-dimensional Toda lattice hierarchies. The variables of the hypergeometric functions are the higher times of those hierarchies. The discrete Toda lattice variable shifts parameters of hypergeometric functions. The role of additional symmetries in generating hypergeometric tau-functions is explained

Fermionic construction of tau functions and random processes

Tau functions expressed as fermionic expectation values are shown to provide a natural and straightforward description of a number of random processes and statistical models involving hard core configurations of identical particles on the integer lattice, like a discrete version simple exclusion processes (ASEP), nonintersecting random walkers, lattice Coulomb gas models and others, as well as providing a powerful tool for combinatorial calculations involving paths between pairs of partitions. We study the decay of the initial step function within the discrete ASEP (d-ASEP) model as an example.Comment: 53 pages, 13 figures, a contribution to Proc. "Mathematics and Physics of Growing Interfaces

Chiral Magnetic Effect in Hydrodynamic Approximation

We review derivations of the chiral magnetic effect (ChME) in hydrodynamic approximation. The reader is assumed to be familiar with the basics of the effect. The main challenge now is to account for the strong interactions between the constituents of the fluid. The main result is that the ChME is not renormalized: in the hydrodynamic approximation it remains the same as for non-interacting chiral fermions moving in an external magnetic field. The key ingredients in the proof are general laws of thermodynamics and the Adler-Bardeen theorem for the chiral anomaly in external electromagnetic fields. The chiral magnetic effect in hydrodynamics represents a macroscopic manifestation of a quantum phenomenon (chiral anomaly). Moreover, one can argue that the current induced by the magnetic field is dissipation free and talk about a kind of "chiral superconductivity". More precise description is a ballistic transport along magnetic field taking place in equilibrium and in absence of a driving force. The basic limitation is exact chiral limit while the temperature--excitingly enough- does not seemingly matter. What is still lacking, is a detailed quantum microscopic picture for the ChME in hydrodynamics. Probably, the chiral currents propagate through lower-dimensional defects, like vortices in superfluid. In case of superfluid, the prediction for the chiral magnetic effect remains unmodified although the emerging dynamical picture differs from the standard one.Comment: 35 pages, prepared for a volume of the Springer Lecture Notes in Physics "Strongly interacting matter in magnetic fields" edited by D. Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Ye

FORCED LARGE LOAD LOADS BY CONVEYOR BELT

The authors proposed the isolation of a large piece from the conveyor belt with a layer of small particles of bulk cargo to reduce dynamic loads. They suggest installing a device for forced segregation of bulk cargo under a loaded belt. The authors developed a mathematical model for the behavior of a large piece on a conveyor belt

Prognosis of complicated clinical course of varicose veins of lower extremities on the basis of analysis of phenotypic characteristics of connective tissue dysplasia

Aim: to identify the phenotypic characteristics of indeterminate connective tissue dysplasia, which help to predict the progression of varicose veins of lower extremities and disease recurrence after surgery. Material and Methods. The long-term results of surgical treatment of 60 patients with varicose veins of lower extremities in a 5-year period after phlebectomy were analyzed. The phenotypic characteristics of indeterminate connective tissue dysplasia were researched. 24 patients had recurrence of varicose veins of lower extremities associated with disease progression; 36 patients did not have recurrence of varicose veins of lower extremities. Results. All the patients demonstrated the signs of indeterminate connective tissue dysplasia, whereas their frequency was different. There were specified nine phenotypic characteristics of indeterminate connective tissue dysplasia, which were significantly more frequent for patients with recurrence of varicose vein disease of lower extremities: 1) postural abnormality, 2) flat foot, 3) skin pallor, 4) hyperextension of skin, 5) positive "wrist test", 6) positive "pollex test", 7) diastasis recti abdominis, 8) myopia, 9) hematomas which form quickly. Conclusion. The determined sum of phenotypic characters of indeterminate connective tissue dysplasia allows to predict progression of varicose vein disease of lower extremities, and offers new opportunities for improving the results of surgical treatment via developing special therapeutic measures aimed at improving lifestyle and dysplasia treatment

Surgical approach to patients with varicothrombophlebitis with undifferentiated dysplasia of connective tissue

Aim: to study the peculiar features of clinical course of acute varicothrombophlebitis and surgical approach to patients with undifferentiated dysplasia of connective tissue. Material and Methods. The features of undifferentiated dysplasia of connective tissue, character of clinical course of acute varicothrombophlebitis, remote results for 94 patients, who had had Troyanov — Trendelenburg's operation, were studied. Results. 70 patients (74,5%) with acute varicothrombophlebitis demonstrated more than four phenotypic characters which showed the presence of undifferentiated dysplasia of connective tissue. 22 patients (31,4%) with acute varicothrombophlebitis with undifferentiated dysplasia of connective tissue were proved to have the discrepancy between localization of acute varicothrombophlebitis clinical evidences and level of proximal part of thrombus in the lumen of great saphenous vein. During the remote observation period, 66 patients (94,3%) with acute varicothrombophlebitis with undifferentiated dysplasia of connective tissue had pheblectomy, as there was vertical and horizontal pathological venous reflux. Out of 24 patients (25,5%) with acute varicothrombophlebitis without undifferentiated dysplasia of connective tissue, only four patients (16,7%) needed thesecond stage of surgical treatment, because 20 patients (83,3%), in 6 months after Troyanov — Trendelenburg's operation, demonstrated the restoration of functional consistency of valves of great saphenous and perforating veins. Conclusion. When determining the indications for urgent disconnection of saphenofemoral junction for patients with acute varicothrombophlebitis and also when choosing surgical treatment approach during remote observation period, it is reasonable to examine the phenotypic characters of undifferentiated dysplasia of connective tissue.</p

Von Neumann's quantization of general relativity

[eng] Von Neumann's procedure is applied to quantizing general relativity. Initial data for dynamical variables in the Planck epoch, where the Hubble parameter value coincided with the Planck mass are quantized. These initial data are defined in terms of the Fock orthogonal simplex in the tangent Minkowski spacetime and the Dirac conformal interval. The Einstein cosmological principle is used to average the logarithm of the determinant of the spatial metric over the spatial volume of the visible Universe. The splitting of general coordinate transformations into diffeomorphisms and transformations of the initial data is introduced. In accordance with von Neumann's procedure, the vacuum state is treated is a quantum ensemble that is degenerate in quantum numbers of nonvacuum states. The distribution of the vacuum state leads to the Casimir effect in gravidynamics in just the same way as in electrodynamics. The generating functional for perturbation theory in gravidynamics is found by solving the quantum energy constraint. The applicability range of gravidynamics is discussed along with the possibility of employing this theory to interpret modern observational data