Spatial applications of topological data analysis: Cities, snowflakes, random structures, and spiders spinning under the influence
Michelle Feng, Mason A. Porter
Abstract
The authors use topological methods to analyze a variety of spatial data sets from different applications, including random spatial networks, city-street networks, spiderwebs, and snowflakes. They demonstrate that these methods can capture information about the size and regularity of various network features, allowing them to describe city blocks, classify the effects of drugs on the webs spun by spiders, and more.
Topics & Concepts
Computer scienceTopology (electrical circuits)Context (archaeology)Space (punctuation)Variety (cybernetics)Complex networkTopological data analysisTheoretical computer scienceArtificial intelligenceGeographyMathematicsAlgorithmOperating systemWorld Wide WebArchaeologyCombinatoricsTopological and Geometric Data AnalysisComplex Network Analysis TechniquesData Visualization and Analytics