Inicio  /  Applied Sciences  /  Vol: 12 Par: 1 (2022)  /  Artículo
ARTÍCULO
TITULO

Describing a Set of Points with Elliptical Areas: Mathematical Description and Verification on Operational Tests of Technical Devices

Bartosz Wieczorek    
Mateusz Kukla and Lukasz Wargula    

Resumen

The purpose of this article was to present an algorithm for creating an ellipse for any data set represented on a two-dimensional reference frame. The study objective was to verify the developed method on real results of experimental tests with different subject matter. This article contains a mathematical algorithm to describe a set of points with elliptical areas. In addition, four results of tests with different subject matter are cited, based on which the developed method was verified. The verification of the method included checking the deviation of the geometric dimensions of the ellipse, the number of points contained within the ellipse, and the area of the ellipse. The implemented research methodology allowed to demonstrate the possibility of using the method of describing a set of points with elliptical areas, in order to determine quantitative parameters evaluating the results of the test. The presented results show the method?s applicability for the results obtained in four different operational tests: measurement of the human body?s gravity center position for a person propelling a wheelchair, measurement of marker position using motion capture methods, measurement of particulate emissions when using equipment powered by an internal combustion engine, and measurement of the muscle activity of the upper limb when propelling a hybrid manual-electric wheelchair. The performed experiments demonstrated that the method allows to describe about 85% of all measurement points with an ellipse.

 Artículos similares

       
 
Boris Melnikov,Vasily Dolgov     Pág. 13 - 19
The equivalence relation S on the class of regular languages, considered in this paper, is necessary for a more complete study of the relation R previously defined in our articles. In addition, the motivation for considering the relation S is the need to... ver más

 
Boris Melnikov     Pág. 1 - 12
In some previous publications, we investigated the properties of a special binary relation, which was sometimes called the equivalence relation at infinity. For a pair of finite languages, the equality of infinite iterations of these langu... ver más

 
Vyacheslav A. Trofimov, Dmitry M. Kharitonov, Mikhail V. Fedotov, Yongqiang Yang, Di Wang and Zhiheng Tai    
Third-harmonic generation (THG) is of interest for its various applications. We propose using the cascaded second-harmonic generation (SHG) to implement the frequency conversion process, which is similar to that occurring in a medium with cubic susceptib... ver más
Revista: Applied Sciences

 
Akshay Mendhakar    
Texts are composed for multiple audiences and for numerous purposes. Each form of text follows a set of guidelines and structure to serve the purpose of writing. A common way of grouping texts is into text types. Describing these text types in terms of t... ver más
Revista: Information

 
I.A. Kosyanenko,R.G. Bolbakov     Pág. 55 - 60
In the modern world, no software development project is complete without the use of version control systems to track changes in data. The version control system is especially important in teamwork, when work on different parts of the same project is dele... ver más