Geometric models of the run method

This article discusses models of the run method in the pursuit problem. The considered models are based on the correction of the direction vector. Let’s assume that the intended direction on a plane is the line of sight between the pursuer and the target. The direction correction consists in the rotation of the velocity vector until it coincides with the line of sight. When constructing trajectories on the surface, a line of sight is built on the horizontal projection plane. After calculating horizontal projections, all points are projected back onto the surface. On the basis of the research carried out proposed a mathematical model, proposed mathematical models of the method of pursuit on a plane and on a surface given in an explicit form. Mathematical models are the development of chase and parallel approach methods. A modification of these methods is that the speed of the pursuer and the target are directed at random. These models can be in demand by developers of autonomous unmanned vehicles equipped with artificial intelligence systems.

Plains in a Special Case. The Relationship Between the Planes

Annotation: To develop students' understanding of straight lines and planes and to develop skills and competencies in working on related issues. The listener must complete the given task on A4 paper with the necessary tools. Keywords: straight lines, perpendicular, horizontal projection, frontal projections.

Decoding of forest belts using satellite images

The paper presents the results of decoding the current condition of protective forest plantations of the Volgograd region and their digital inventory mapping on the basis of remote sensing methods and GIS technologies. We have applied a three-level analysis of the system of forest belts located within an administrative district, a farmstead, and a single forest belt. The laboratory visual interpretation of space images has allowed us to analyze the horizontal projection of the forest belts canopy and crowns, their placement in the canopy, as well as pattern and structure. We have also deciphered the signs of the prevailing patterns of tree species mixing. As a result of the research, we have created digital cartographic models of forest belts, compiled digital standards of elm stands in a given age period, assesse taxation and reclamation features of the current state of plantations. The results obtained can be used to monitor the state of plantings and create a local agroforestry GIS.

Automatic Estimation of Age Distributions from the First Ottoman Empire Population Register Series by Using Deep Learning

Recently, an increasing number of studies have applied deep learning algorithms for extracting information from handwritten historical documents. In order to accomplish that, documents must be divided into smaller parts. Page and line segmentation are vital stages in the Handwritten Text Recognition systems; it directly affects the character segmentation stage, which in turn determines the recognition success. In this study, we first applied deep learning-based layout analysis techniques to detect individuals in the first Ottoman population register series collected between the 1840s and the 1860s. Then, we employed horizontal projection profile-based line segmentation to the demographic information of these detected individuals in these registers. We further trained a CNN model to recognize automatically detected ages of individuals and estimated age distributions of people from these historical documents. Extracting age information from these historical registers is significant because it has enormous potential to revolutionize historical demography of around 20 successor states of the Ottoman Empire or countries of today. We achieved approximately 60% digit accuracy for recognizing the numbers in these registers and estimated the age distribution with Root Mean Square Error 23.61.

GEOMETRIC MODELS OF THE CHASE METHOD ON THE PLANE AND ON THE SURFACE DELIVERY

In this article models of the pursuit method in the pursuit problem. The considered models are based on the correction of the vector of the direction of motion. Suppose, on a plane, the intended direction is the line of sight of the pursuer and the target. Correction of the direction of movement consists in the rotation of the velocity vector until it coincides with the line of sight. When constructing trajectories on the surface, a line of sight is built on the horizontal projection plane. After calculating horizontal projections, all points are projected back onto the surface. Have been developed models for calculating the trajectories of the pursuer and the target in the problem of studying the plane and on the surface. Modifications of the mathematical models of the methods of parallel dropping and chasing were made in relation to the plane and the surface. In our models and algorithms, the speed of the pursuer can be directed arbitrarily. With the modification of the parallel displacement method, the straight line of this movement was replaced by a predicted trajectory of movement at a point in time, which moves to itself. When modifying the chase method, the line of sight was also replaced with a compound curve, taking into account the restrictions on the curvature of the pursuer trajectory. These models can be in demand by developers of autonomous unmanned vehicles equipped with artificial intelligence systems.

FPU Mooring Footprint Reduction in Buzios Field: Key Driver to its Successful Subsea Layout

Buzios field development has the potential to implement several production systems due to large reservoir volumes. Considering the oil specification, the drive to use standard solutions already in place in Pre-salt area, associated with the high production indexes of the wells, Petrobras decided to tie back all production wells in satellite configuration. These facts, together with geological hazards in the area, lead to a potentially congested seabed scenario. Hence, FPU positioning has been challenging and demanding innovative engineering solutions to optimize FPU mooring as to overcome these challenges and enable FPU positioning close to wells. This optimization gave birth to new issues, such as risk of clashing between mooring lines and lazy-wave flexible risers. Integrated riser and mooring lines dynamic analysis, together with subsea layout assessment were performed to ensure technical and economic feasibility. Furthermore, due to the Buzios reservoir, well design requirements and subsea layout specificities, all FPU were located on the edge of the reservoir and flexible risers were tied back mainly from only one board of each FPU. Hence, enhancing clearance between bow and stern mooring clusters and the optimization of the risers’ configuration were of paramount importance for enabling most of the risers’ connections on the desirable board. FPU mooring optimization led to up to 30% of mooring lines’ radius reduction (horizontal projection), and an average of up to 500m per flowline reduction, saving CAPEX, OPEX and increasing the return on investment.

Building a model and an algorithm for modeling the movement of people carrying goods when they are evacuated from premises

Evacuation is often the only way to save a person who is in a life-threatening situation. At present, evacuation software is used to simulate the movement of human flows, which does not always reflect the real processes of their movement. Therefore, it is a relevant task to build models for modeling the movement of human flows for different types of emergencies, different categories of human movement, and various spatial forms of their representation. Such a task arises when evacuating people from premises for various functional purposes. During evacuation, people often carry some goods. When people move carrying some goods, their horizontal projection takes a more complex shape than an ellipse or circle considered in earlier studies. Moreover, in practice, there is often a task to model the movement of people taking into consideration the maximum permissible distances between them. This paper reports the new quasi-phi functions of interaction between the ellipse and rectangle accounting for the maximum allowable distances between them. The proposed mathematical apparatus has made it possible to formalize the interaction between objects, thereby enabling the construction of a well-substantiated mathematical model, as well as the methods and algorithms for modeling the movement of people carrying some goods. The possibility to simulate the movement of people with certain objects has shown taking into consideration the maximum permissible distances between them. A test example of the movement of people along four corridors was simulated, in each of which there were 28 people subsequently merging into one flow. Given the uniform distribution of three types of cargo: «backpacks», «suitcases», and «bags on wheels», the movement slowed down by about 4 %. When half of the evacuees had «bags on wheels» that can move away from people at arm’s length, the slowdown was about 6 %.

Template Matching Based Probabilistic Optical Character Recognition for Urdu Nastaliq Script

This paper presents a technique for optical recognition of Urdu characters using template matching based on a probabilistic N-Gram language model. Dataset used has the collection of both printed and typed text. This model is able to perform three types of segmentations including line, ligature and character using horizontal projection, connected component labeling, corners and pointers techniques, respectively. A separate stochastic lexicon is built from a collected corpus, which contains the probability values of grams. By using template matching and the N-Gram language model, our study predicts complete segmented words with the promising result, particularly in case of bigrams. It outperforms three out of four existing models with an accuracy rate of 97.33%. Results achieved on our test dataset are encouraging in one perspective but provide direction to work for further improvement in this model.

Intrapopulation variation of Siberian stone pine cones and seeds quality in spaced planting plots

For Siberian stone pine (Pinus sibirica Du Tour), a valuable nut-bearing species, the development of a system of selectively significant signs of crop quality is relevant, which is necessary for the introduction of this species into culture. Were studied the level and nature of variability in the quality of cones and seeds in 32 trees on a 42-year-old plantation with sparse planting trees of 8×8 m (south of the Tomsk region). The used system of traits reflects the sequence of the crop formation process — from cone differentiation to seed ripening. We are establish that the maximum level of variability is observed in characters characterizing deviations in seed embryogenesis, leading to an increase in the proportion of underdeveloped, empty and incomplete seeds. The level of variability of traits caused by the influence of the mother plant is much lower on the features of the establishment, differentiation, and growth of cones (the number of scales and seeds). The signs characterizing the number of different elements of the cones have a normal distribution. Positive asymmetry and kurtosis are characteristic of the distributions of signs reflecting the level of abortion of the ovules at different stages of their development. As the final selection trait with a high level of intrapopulation variability, we are proposing to use the mass of full tree seeds per unit area of the horizontal projection of the crown. The use of this trait is promising for the search for trees combining a narrow crown with a large mass of seeds.