CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Efficient representation and derivation of fundamental transformation of relationships using Euler angles and quaternions
Authors
Hana Chudá
Publication date
20 March 2023
Publisher
'World Scientific and Engineering Academy and Society (WSEAS)'
Abstract
This paper introduces and defines two principal rotational methods;the Euler angles and the quaternions theories with a brief insight into their definitions and algebraic properties. These methods are widely used in various scientific fields, only marginally in the aircraft industry, the robotics, the quantum mechanics, the electro mechanics, the cameras systems, the computer graphics, the heavy industry and other. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis using both rotational methods. Then, the general three-dimensional rotation matrix and the general operator of the quaternion rotation are derived. Finally the utilization of the matrices and quaternion equations are demonstrated on a simple example. © 2019 Authors. All rights reserved.3019604102
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Institutional repository of Tomas Bata University Library
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:publikace.k.utb.cz:10563/1...
Last time updated on 04/08/2023