Gregor Mubi (2015) Topological analysis of weather images. EngD thesis.
Abstract
In this thesis computational topology is used to analyse weather data. The goal is to analyse weather images and discern, if it is possible to expose certain parameters, which could improve humid mass classification. For this reason we were observing how those masses appear and merge on sequences of images. We used topological method named persistence. For data analysis we obtained weather radar images. We also wrote around 20 scripts in computing environment MATLAB, which served for data computation and visualization. Images are presented as cubical complexes, where grayscale values are in vertexes of the complexes. One of the results is also an identification of parameter, which is based on topological methods and could be used in hail forecast and other exceptional weather forecasts.
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