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Algorithm for density of angle distribution in random sections of polyhedron
Expert Systems with Applications. 2024. Vol. 235. Article 121195.
Elizaveta P. Konstantinova, Lev N. Shchur
Scanning electron micrographs of solid materials are a source of analysis for hardness, defects, etc. A micrograph is a two-dimensional image of a material being cut. Typical photomicrographs contain about a hundred thousand structural elements, such as grain boundaries, boundary junctions, etc., which are not easy to analyze with the naked eye. Currently, computer vision can be used to analyze the geometric properties of structural elements. One of the important properties is the cross section of the grain, which is the result of cutting the material. In the article we turn to one of the geometric properties of random grain cuttings. The statistical properties of the cross sections of grains in an alloy are equivalent to the statistical properties of the cross sections of individual grains by random planes if the grains do not touch each other. We present two stages of mathematical analysis of the grain cross-sections. First, using the algorithm for generating random planes with a uniform distribution, a method is proposed for generating random sections of polyhedra. The method can be useful in stochastic geometry and computational geometry, as well as in materials science. Second, sections of polyhedra with random planes are considered, and a numerical algorithm for estimating the distribution density of angles of convex polyhedra is also implemented. Examples of distribution densities in random sections for a cube, a regular triangular prism, and a truncated prism are given. The developed algorithm and the obtained distribution densities are of practical use in the analysis of micrographs of thin sections of crystalline alloys.
Plotnikov S., Альманах современной метрологии 2024 № 2 (38) С. 140–149
The results of the analysis of data collected by the method of expert questioning of Russian scientific metrological institutes’ employees, as well as buyers of measuring instruments, are presented. ...
Added: May 21, 2026
Апрелев А. В., Пивоварова Н. И., Plotnikov S. et al., Альманах современной метрологии 2022 № 2(30) С. 94–101
The results of the analysis of data from the Federal Information Fund for Ensuring the Uniformity of Measurements in terms of oscilloscopes are presented. ...
Added: May 21, 2026
Stepanyants V., Хорошилов Г. С., Долгов И. М. et al., Труды Института системного программирования РАН 2026 Т. 38 № 3 С. 95–110
Highly automated and connected vehicles are gradually entering the market. Currently, solutions are being proposed that allow these technologies to be used for cooperative driving automation, which can significantly improve traffic safety. Such technologies and their software should be tested to ensure safety before being implemented in real systems. Verification and validation of vehicular control ...
Added: May 12, 2026
Kuvshinov A., Fominykh A., Ivanov F., IEEE Access 2026 Vol. 14 P. 50549–50557
The recursive (U|U+V) construction, a generalization of which includes polar codes, provides a powerful framework for building complex codes from simpler components. However, existing approaches predominantly rely on fixed or symmetric tree architectures, overlooking the critical impact of decomposition choice on code performance. This paper addresses the challenge of optimal tree decomposition selection by presenting a framework ...
Added: April 7, 2026
Manohin A., Электрооборудование: эксплуатация и ремонт 2026 № 2 С. 75–85
An extended method for calculating heat transfer coefficients using programs
for automated analysis of the thermal regime of TRIANA (ASONIKA-T) radio-electronic
equipment for various designs is proposed. Based on the analysis of the obtained
heat transfer coefficients, it is shown how to set realistic values for the convective
heat transfer coefficient in SOLIDWORKS Simulation and other CAE thermal analysis
systems. ...
Added: April 3, 2026
SciTePress, 2024.
This book contains the proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics. This year, ICINCO is held in Porto, Portugal, on November 18-20, 2024. It was sponsored by the Institute for Systems and Technologies of Information, Control and Communication (INSTICC), and technically co-sponsored by the IEEE Systems, Man and Cybernetics ...
Added: March 17, 2026
IEEE, 2025.
On behalf of the organizing committee, it is our great privilege to present this compendium of research
articles for the 11th International Conference on Automation, Robotics, and Applications (ICARA 2025),
which will be held in the vibrant city of Zagreb, Croatia from February 12 to 14, 2025. The proceedings
encapsulate the latest advancements and innovative research in the ...
Added: March 17, 2026
Cham: Springer, 2026.
This book delivers actionable insights through 21 peer-reviewed chapters featuring new methods, models, and applications based on computational intelligence. Discover cutting-edge tools to support smart, efficient decision-making in complex, real-world scenarios. Organized into three parts—prescriptive analytics, soft computing models, and practical case studies—it spans domains such as healthcare, energy, mobility, finance, and public services. Readers ...
Added: March 17, 2026
Frolov O. V., Safin R. N., Tsoy T. G. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2025 Vol. 167 No. 4 P. 786–805
Advancements in robotics have expanded a use of unmanned aerial vehicle (UAV) swarms in
critical tasks such as disaster response, including search and rescue operations during floods, hurricanes,
landsliding, and earthquakes. Swarm formation control stands as a critical challenge in UAV swarm
control. In this article, a simple and resource-efficient method for addressing collisions within swarm
formations during outdoor ...
Added: March 17, 2026
Springer, 2026.
The two volume set LNAI 16303 + 16304 constitutes the refereed proceedings of the 10th International Conference on Interactive Collaborative Robotics, ICR 2025, held in Hanoi, Vietnam, during November 10–13, 2025. The 58 full papers presented in these two volumes were carefully reviewed and selected from 143 submissions. The papers are organized in the following topical sections:
Part ...
Added: March 17, 2026
Springer, 2026.
This book includes selected papers from the Fifth International Conference on Agriculture Digitalization and Organic Production (ADOP 2025), held in Barnaul, Altai Region, Russia, during June 03-06, 2025. The topics covered in the book are ground robotic systems in crop production, unmanned aerial vehicles in crop production, aerospace monitoring tools in crop production, robotic animal ...
Added: March 17, 2026
Song J., Bai Y., Svinin M. et al., Artificial Life and Robotics 2026 P. 1–13
This study introduces an innovative control approach for deploying multiple unmanned aerial vehicles (UAVs) to monitor an unknown food region. The proposed strategy is designed to optimally distribute UAVs across the food-afected area while cooperatively estimating the extent of inundation. To achieve this, an adaptive coverage controller is developed based on Centroidal Voronoi Tessellation (CVT), incorporating a novel ...
Added: March 17, 2026
Kurtc V., Prokhorov A., Journal of Mathematical Sciences 2025 No. 295 P. 229–240
We present a methodology for calibrating doubly constrained gravity models. Three types of deterrence functions are examined: exponential, power, and combined. The latter includes two calibration parameters, whereas the others contain only one. The parameters are identified so that the model reproduces the observed trip length distribution with high accuracy. We test four optimization methods: ...
Added: March 12, 2026
Kiselev G., Prokhorov A., Journal of Mathematical Sciences. Vol. 295, No. 2, December, 2025. Mathematical Modeling and AI for Traffic Flows on Networks and Related Topics 2025 No. 295 P. 185–196
We study the problem of estimating the population and workplaces in a given area using open data sources and machine learning algorithms for automation and improvement of quality and accuracy of the transport demand calculation in transport modeling.
Bibliography: 6 titles. Illustrations: 7 figures. ...
Added: March 12, 2026
М.: Международный центр «Новые научные исследования», 2025.
Сборник содержит статьи участников Международной научно-практической конференции «Научные открытия и инновационные стратегии», состоявшейся 24 мая 2025 г. в г. Москва.
В сборнике научных трудов рассматриваются современные научные проблемы и практики применения результатов научных исследований. Материалы сборника предназначены для научных работников, преподавателей, аспирантов, магистрантов, студентов в целях применения в научной работе и учебной деятельности. Ответственность за аутентичность ...
Added: February 18, 2026
Ali S., Khizhik A., Svirin S. et al., Engineering Applications of Artificial Intelligence 2025 Vol. 170 Article 114137
The application of machine learning algorithms in the intelligent diagnosis of three-phase engine has the potential to significantly enhance diagnostic performance and accuracy. Traditional methods largely rely on signature analysis, which, despite being a standard practice, can benefit from the integration of advanced machine learning techniques. In our study, we innovate by combining machine learning ...
Added: February 16, 2026
Springer, 2025.
This book constitutes the refereed proceedings of the 15th International Conference on Parallel Processing and Applied Mathematics, PPAM 2024, held in Ostrava, Czech Republic, during September 8–11, 2024.
The 75 full papers included in this book were carefully reviewed and selected from 134 submissions. The papers are organized in the following topical sections:
Part I : Numerical ...
Added: December 26, 2025
Springer, 2020.
This volume comprises the proceedings of the 13th International Conference on Parallel Processing and Applied Mathematics (PPAM 2019), which was held inBiałystok, Poland, September 8–11, 2019. It was organized by the Department of Computer and Information Science of the Częstochowa University of Technology together with Białystok University of Technology, under the patronage of the Committee ...
Added: October 14, 2020
Victor Lapshin, Vadim Kaushanskiy, Applied Economics 2016 Vol. 48 No. 58 P. 5654–5666
We present a nonparametric method for fitting the term structure of interest rates from bond prices. Our method is a variant of the smoothing spline approach, but within our framework we are able to determine the smoothing coefficient automatically from data using the generalized cross-validation or maximum likelihood estimates. We present an effective numerical algorithm ...
Added: May 23, 2016
Chebotarev A., Teretenkov A. E., Applied Mathematics and Computation 2014 Vol. 234 P. 380–384
We describe a simple implementation of the Takagi factorization of symmetric matrices $A = U\Lambda U^T$ with unitary $U$ and diagonal $\Lambda$ in terms of the square root of an auxiliary unitary matrix and the singular value decomposition of $A$. The method is based on an algebraically exact expression. For parameterized family $A_\epsilon = A ...
Added: June 4, 2014
Silaev M. A., V. A. Silaeva, Journal of Physics: Condensed Matter 2013 Vol. 25 No. 22 P. 1–10
We investigate the multiquantum vortex states in a type-II superconductor in both 'clean' and 'dirty' regimes defined by impurity scattering rate. Within a quasiclassical approach we calculate self-consistently the order parameter distributions and electronic local density of states (LDOS) profiles. In the clean case we find the low temperature vortex core anomaly predicted analytically by ...
Added: November 19, 2013