Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
A System for Visualizing the Three-Dimensional Spherical and Elliptic Spaces. / Migranov, Denis.
2021 IEEE 22nd International Conference of Young Professionals in Electron Devices and Materials, EDM 2021 - Proceedings. IEEE Computer Society, 2021. стр. 507-510 9507602 (International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices, EDM; Том 2021-June).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - A System for Visualizing the Three-Dimensional Spherical and Elliptic Spaces
AU - Migranov, Denis
N1 - Funding Information: Research supported by JetBrains Foundation. Publisher Copyright: © 2021 IEEE.
PY - 2021/6/30
Y1 - 2021/6/30
N2 - Non-Euclidean geometries and spaces find application in various fields of knowledge. The possibilities of computer graphics and visualization make it possible to present such spaces in a way that makes it easy to explore their properties even for people who are not acquainted with the mathematics of non-Euclidean geometry. Not only that, it is also possible to add some interactivity and allow users to explore such spaces freely. In this paper, we present a system for visualizing three-dimensional spherical and elliptic spaces, which are two examples of non-Euclidean spaces. First, we describe the theoretical basis and some algorithms the system is built upon: the group-theoretic way of exploring non-Euclidean spaces and defining transformations of objects lying in them, an algorithm for implementing camera controls similar to those seen in first-person video games, and an algorithm for implementing the distance fog effect in such spaces. Then, we describe the system created based on these approaches and its capabilities.
AB - Non-Euclidean geometries and spaces find application in various fields of knowledge. The possibilities of computer graphics and visualization make it possible to present such spaces in a way that makes it easy to explore their properties even for people who are not acquainted with the mathematics of non-Euclidean geometry. Not only that, it is also possible to add some interactivity and allow users to explore such spaces freely. In this paper, we present a system for visualizing three-dimensional spherical and elliptic spaces, which are two examples of non-Euclidean spaces. First, we describe the theoretical basis and some algorithms the system is built upon: the group-theoretic way of exploring non-Euclidean spaces and defining transformations of objects lying in them, an algorithm for implementing camera controls similar to those seen in first-person video games, and an algorithm for implementing the distance fog effect in such spaces. Then, we describe the system created based on these approaches and its capabilities.
KW - computer graphics
KW - computer modelling
KW - GPU
KW - non-Euclidean geometry
KW - non-Euclidean spaces
KW - visualization
UR - http://www.scopus.com/inward/record.url?scp=85113520376&partnerID=8YFLogxK
U2 - 10.1109/EDM52169.2021.9507602
DO - 10.1109/EDM52169.2021.9507602
M3 - Conference contribution
AN - SCOPUS:85113520376
T3 - International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices, EDM
SP - 507
EP - 510
BT - 2021 IEEE 22nd International Conference of Young Professionals in Electron Devices and Materials, EDM 2021 - Proceedings
PB - IEEE Computer Society
T2 - 22nd IEEE International Conference of Young Professionals in Electron Devices and Materials, EDM 2021
Y2 - 30 June 2021 through 4 July 2021
ER -
ID: 34173899