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Predicting weather phenomena using discrete Morse theory

Cvetkovska Biserka (2015) Predicting weather phenomena using discrete Morse theory. MSc thesis.

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    In this master thesis we concentrate on the dynamics of changes in the precipitation intensity through a time sequence of radar images and inspect how this can be used as a parameter in automatic severe weather prediction. We approach the problem from a topological standpoint and we demonstrate how discrete Morse theory can be used in tracking changes in a sequence of weather images and show how we can follow important features in the given sequence by building bifurcation diagrams. Our method is evaluated on real data represented as a sequence of weather images taken by a weather radar. In order to avoid noise and to obtain only those features from the images that are significant to our research, we also implement a method for reducing noise. At the end we present a simple model for classification of the bifurcation diagrams and show how the bifurcation diagrams and the amount of precipitation intensity could influence prediction of weather phenomena.

    Item Type: Thesis (MSc thesis)
    Keywords: topology, topological data analysis, discrete morse theory, weather, weather prediction, bifurcation diagrams
    Number of Pages: 50
    Language of Content: English
    Mentor / Comentors:
    Name and SurnameIDFunction
    prof. dr. Neža Mramor Kosta242Mentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=51012&select=(ID=1536467651)
    Institution: University of Ljubljana
    Department: Faculty of Computer and Information Science
    Item ID: 3026
    Date Deposited: 21 Aug 2015 12:37
    Last Modified: 15 Sep 2015 14:20
    URI: http://eprints.fri.uni-lj.si/id/eprint/3026

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