arXiv subjects

Rastislav Telgarsky

Publications and source records attributed to Rastislav Telgarsky.

3 recordsLinked to original sources

arXiv2013

Dominant Frequency Extraction

Time series are collected and studied extensively for the knowledge about the data source characteristics such as the trend or the spectral landscape. Some peaks in the spectral landscape correspond to dominant frequencies. The approach here is empirical: all time series are discrete and finite. Contents: Introduction. 1 Examples of periodic phenomena. 2 Algorithms and libraries. 3 Time series analysis. 4 Dominant frequency in ladar data. Conclusion. References.

math.NA↗

arXiv2012

Multi-target tracking algorithms in 3D

Ladars provide a unique capability for identification of objects and motions in scenes with fixed 3D field of view (FOV). This paper describes algorithms for multi-target tracking in 3D scenes including the preprocessing (mathematical morphology and Parzen windows), labeling of connected components, sorting of targets by selectable attributes (size, length of track, velocity), and handling of target states (acquired, coasting, re-acquired and tracked) in order to assemble the target trajectories. This paper is derived from working algorithms coded in Matlab, which were tested and reviewed by others, and does not speculate about usage of general formulas or frameworks.

cs.CV↗

arXiv2012

Applications of topology in computer algorithms

The aim of this paper is to discuss some applications of general topology in computer algorithms including modeling and simulation, and also in computer graphics and image processing. While the progress in these areas heavily depends on advances in computing hardware, the major intellectual achievements are the algorithms. The applications of general topology in other branches of mathematics are not discussed, since they are not applications of mathematics outside of mathematics.

math.NA↗