Abstract

Airspace domain may be represented by a time-space consisting of a three-dimensional Cartesian coordinate system and time as the fourth dimension. A coordinate system provides a scheme for locating points given its coordinates and vice versa. The choice of coordinate system is important, as it transforms data to geometric representation. Visualization of the three and more dimensional data on the two-dimensional drawing - computer monitor is usually done by projection, which often can restrict the amount of information presented at a time. Using the parallel coordinate system is one of possibilities to present multidimensional data. The aim of this article is to describe basics of parallel coordinate system and to investigate lines and their characteristics in time-space.

Highlights

  • During the peak air travel times in the United States, there are about 5,000 airplanes in the sky every hour

  • Visualization of the three and more dimensional data on the two-dimensional drawing - computer monitor is only possible by projection, which often can restrict the amount of information presented at a time

  • The aim of this paper was to give the basic information on parallel coordinates and possibility of their using in air traffic control

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Summary

Introduction

During the peak air travel times in the United States, there are about 5,000 airplanes in the sky every hour. This translates to approximately 50,000 aircraft operating every day. Using the parallel coordinates represents one of options to visualize the multidimensional data. In the parallel 4 coordinate plot, each dimension (variable) corresponds to an axis, and the 4 axes are organized as uniformly spaced vertical lines. The parallel coordinates methodology was used when the new air traffic control system in United States was formed around 1985 - US patent # 4,823,272, p. Using of parallel coordinates for visualization of the high-dimensional data set is shown in [4,5,6]. The parallel coordinates coupled with statistical analysis can be used for more effective knowledge discovery and confirmation in complex, environmental data sets [11]

Parallel coordinates in space-time
Representation of a line in space-time
Minimum distance between the two lines in space-time
Illustrative example
Discussion and conclusion

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