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Possibilities of geoinformational analysis for assessment of the state and directions of development of geodetic support of the territory of Ukraine

Bespalko Ruslan, Kazimir Ivan, Hutsul Taras

Reports on Geodesy and Geoinformatics

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2022

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Vol. 113

21--28

EN

Topographic, geodetic and cartographic activities are one of the main activities for the effective development of the economy, science of strengthening national security and defense. It is a set of management, production, scientific and educational activities for the storage and communication to users of geodetic and cartographic information and data. The article considers one of the segments of this activity - the state of geodetic support of the territory of Ukraine and its assessment according to official data on the possibility of creating topographic maps and plans of scale 1:25 000 - 1:2000 in compliance with applicable regulations. To carry out the assessment, around the points of the State Geodetic Network of Ukraine (DGM) buffer zones of radii of circles of standard sizes were constructed, zoning of the territory with Thissen-Voronoi polygons and covering of the territory in the form of a hexagonal grid were done by means of ArcGIS. The results of the current assessment as of 2022 conducted by three methods are summarized in the table in terms of oblasts of Ukraine. The data obtained are compared to the previous assessment conducted five years ago. Changes in the state of geodetic support have been identified and their objective reasons explained. The advantages and disadvantages of each of the proposed methods of geoinformation analysis of the assessment of the state of geodetic support of the territories are given. It is established that the combination of different methods will allow to use the existing points of DGM with greater efficiency and to substantiate the priority places for further development of the network. The complex of scientific and applied works related to the modernization of the state geodetic network will allow to quickly and locally develop a network based on satellite and computer technologies and create and present digital cartographic information at the modern scientific and technical level in accordance with current needs.

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Application of Voronoi diagrams in contemporary architecture and town planning

Nowak A.

Challenges of Modern Technology

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2015

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Vol. 6, no. 2

30--34

EN

Modern design methods rely increasingly on understanding the nature of processes and principles of self-organization of biological structures and their representation using mathematical models that may apply in technology, including architecture. As a result, bionic design elements play a more meaningful role in shaping contemporary architecture and urban planning. The development of computer technology has made it possible to create more complex and complicated structures and surfaces inspired by natural forms. The inspiration for the discretization of the surface, using the Voronoi diagram, as seen in the honeycomb structure or the dragonfly wing, is increasingly applied in shaping the elevation of contemporary buildings. As a mathematical problem, the division of space fascinates scientists as well as architects. Consequently, architects use the spatial Voronoi cells also in shaping the structural forms. Today Voronoi diagrams are an important source of inspiration for architects and urban planners as a surface discretization method and a way of creating structural elements or spatial forms and as flooring patterns in urban projects. The use of mathematical models represent the structure and organization of the forms found in nature, which is increasingly used in the multidisciplinary architectural design. The design of the structures and elements both in architecture and urban planning using methods of computational geometry makes new opportunities for architectural and urban projects as seen by the Voronoi tessellation.

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A proposal for descriptive geometry term papers

Koźniewski E

Journal Biuletyn of Polish Society for Geometry and Engineering Graphics

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2014

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Vol. 26

33--40

EN

Designing roofs and embankments proves to be a good topic for a term paper for students of Descriptive Geometry. It is an excellent opportunity for actual application of the Monge method (2D structures) in 3D modelling using CAD software and also physical creation of a model of a roof (using paper) and embankment (using powders). The present paper includes an interesting proposal of conducting a project which could verify the theorem in practice as early as at the beginning of one’s technical course at university.

PL

Kształtowanie dachów oraz nasypów okazuje się być dobrym tematem na prace semestralne dla studentów w ramach przedmiotu geometria wykreślna. Stwarza znakomitą okazję do realnego zastosowania w praktyce metody Monge’a (konstrukcje 2D) i modelowania 3D za pomocą programu CAD, a także wykreowania fizycznego modelu dachu (konstrukcja z papieru) i nasypu (model utworzony z materiału sypkiego). Praca zawiera propozycję zrealizowania ambitnego projektu z zakresu weryfikacji teorii w praktyce już na początku studiów technicznych.

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Rectilinear Voronoi diagram-based motion planning in the piane with obstacles

Šeda M.

Elektronika : konstrukcje, technologie, zastosowania

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2004

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Vol. 45, nr 8-9

24-26

EN

A Voronoi diagram of a set of sites in the Euclidean plane is a collection of regions that divide up the plane. Each region corresponds to one of the sites and all the points in one region are closer to the sile representing the region than to the other site. Voronoi diagrams have a surprising variety of uses, e.g. nearest neighbour search, facility location, path planning, etc. In this paper, we investigate the problem of 8-directional robot motion planning where the goal is to find a collision-free path from the starting to the target position in the 2D space containing point and rectangular obstacles. In contrast to the traditional approaches frequently based on genetic algorithms, we propose a method for solving this problem using rectilinear Voronoi diagrams.

PL

Diagram Woronoja złożony z zestawu miejsc na płaszczyźnie euklidesowej jest zbiorem obszarów, które rozdzielają tę płaszczyznę. Każdy obszar odpowiada jednemu z miejsc. a wszystkie punkty w jednym obszarze są bliższe miejscu reprezentującemu ten obszar niż innym miejscom. Diagramy Woronoja mają zaskakująco wiele zastosowań, np. poszukiwanie najbliższego sąsiada, lokalizacja obiektu, planowanie trajektorii, itd. W artykule badamy problem związany z planowaniem 8-kierunkowego ruchu robota, gdzie celem jest odnalezienie bezkolizyjnej trajektorii z pozycji startowej do docelowej w przestrzeni dwuwymiarowej zawierającej punktowe oraz prostokątne przeszkody. W przeciwieństwie do tradycyjnych podejść, które bazują często na algorytmach genetycznych, proponujemy rozwiązanie tego problemu metodą wykorzystującą prostoliniowe diagramy Woronoja.