A Spatially Bounded Airspace Axiom

Szabó, Péter; Ferencová, Miroslava; Blišťanová, Monika

doi:10.20944/preprints202203.0318.v1

2022

DOI: 10.20944/preprints202203.0318.v1

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A Spatially Bounded Airspace Axiom

Péter Szabó¹,

Miroslava Ferencová²,

Monika Blišťanová³

Abstract: Free route airspace (FRA) is a new concept of European air transport. It has been designed to eliminate the negative impact of air traffic on the environment, minimize fuel consumption, simplify and expand flight planning. In our research, FRA is modelled by using graph theory, networks, and convex analysis. We also looked for answers to the question which are the basic mathematical properties of airspace? Basic mathematical properties are expressed using axioms. Therefore, in our work, we state the general, b… Show more

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2023

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Modeling the Area of Interest for a Mobile Sensory System

2023

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We live in the age of the 4th industrial revolution. The leading technologies of this revolution are Cloud computing, Big Data and the Internet of Things (IoT). The vast majority of IoT technologies are characterized by the fact that we collect data with the help of sensors using the Internet. The project MOVIR also implements such an IoT technology. The main goal of the project was the development of a sensor unit. Such sensor units form a network that protects a specific area. This network forms an autonomous electronic area or space protection system. To create this network, we need to define the place we want to protect and the placement of sensor units within this area. Our work is about the mathematical and digital definition of such an area and the placement of sensor units. One of our articles on air traffic control gave the idea of digital modeling the protected area. Here we define the area of interest using significant points. Points are given using GPS coordinates. With the help of a spatial coordinate system, these significant points and a projection, we define a coordinate system to define and model our protected area and the network of sensor units. Here, a digital raster terrain model where significant points are located is required as input data. The digital model of area is defined using a matrix whose elements indicate the height of points in space. The row and column indices of the matrix determine the details of the area. We can use several height layers to describe different obstacles. The accuracy of this theoretical mathematical terrain model depends on the description and details of the accuracy of the terrain. The mathematical model of the area of interest is a 3D polygon. The network of sensor units model is also a 3D polygon located within the area of interest.

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Modeling the Area of Interest for a Mobile Sensory System

2023

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A Spatially Bounded Airspace Axiom

Cited by 1 publication

References 6 publications

Modeling the Area of Interest for a Mobile Sensory System

Modeling the Area of Interest for a Mobile Sensory System

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